# Quizbank/Electricity and Magnetism (calculus based)/c10

calcPhyEMq/c10 ID153287923206 (Study guide)

**Exams: ** A0 A1 A2 B0 B1 B2 C0 C1 C2 D0 D1 D2 E0 E1 E2 F0 F1 F2 G0 G1 G2 H0 H1 H2 I0 I1 I2 J0 J1 J2 K0 K1 K2 L0 L1 L2 M0 M1 M2 N0 N1 N2 O0 O1 O2 P0 P1 P2 Q0 Q1 Q2 R0 R1 R2 S0 S1 S2 T0 T1 T2 U0 U1 U2 V0 V1 V2 W0 W1 W2 X0 X1 X2 Y0 Y1 Y2 Z0 Z1 Z2

**Answers: ** A0 A1 A2 B0 B1 B2 C0 C1 C2 D0 D1 D2 E0 E1 E2 F0 F1 F2 G0 G1 G2 H0 H1 H2 I0 I1 I2 J0 J1 J2 K0 K1 K2 L0 L1 L2 M0 M1 M2 N0 N1 N2 O0 O1 O2 P0 P1 P2 Q0 Q1 Q2 R0 R1 R2 S0 S1 S2 T0 T1 T2 U0 U1 U2 V0 V1 V2 W0 W1 W2 X0 X1 X2 Y0 Y1 Y2 Z0 Z1 Z2

**78 Tests = 3 versions x 26 variations: **Each of the 26 variations (A, B, ...) represents a different random selection of questions taken from the study guide.The 3 versions (0,1,..) all have the same questions but in different order and with different numerical inputs. Unless all students take version "0" it is best to reserve it for the instructor because the questions are grouped according to the order in which they appear on the study guide.

**Links:** Quizbank/Instructions Study guide file:Quizbank153287923206.pdf

*Contact me at* User talk:Guy vandegrift *if you need any help.*

### c10 A0[edit | edit source]

1) Two sources of emf ε_{1}=40.9 V, and ε

_{2}=16.1 V are oriented as shownin the circuit. The resistances are R

_{1}=5.55 kΩ and R

_{2}=1.55 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=6.11 mA and I

_{4}=1.06 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 8.754E+00 V
- b) 9.630E+00 V
- c) 1.059E+01 V
- d) 1.165E+01 V
- e) 1.282E+01 V

_{1}=1.6 Ω, R

_{2}=7.89 Ω, and R

_{3}=15.3 Ω. What is the power dissipated by R

_{2}?

- a) 1.713E+01 W
- b) 1.885E+01 W
- c) 2.073E+01 W
- d) 2.280E+01 W
- e) 2.508E+01 W

_{1}= 1.6 Ω, R

_{2}= 1.3 Ω, and R

_{2}= 2.22 Ω. V

_{1}and V

_{3}are text 0.55 V and 3.18 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.743 V. What is the absolute value of the current through R

_{1}?

- a) 1.721E-01 A
- b) 1.893E-01 A
- c) 2.082E-01 A
- d) 2.291E-01 A
- e) 2.520E-01 A

_{1}=43.0 V, and ε

_{2}=13.8 V are oriented as shownin the circuit. The resistances are R

_{1}=3.97 kΩ and R

_{2}=1.12 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=6.25 mA and I

_{4}=1.82 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 3.661E+00 mA
- b) 4.027E+00 mA
- c) 4.430E+00 mA
- d) 4.873E+00 mA
- e) 5.360E+00 mA

#### c10 A1[edit | edit source]

1) Two sources of emf ε_{1}=18.2 V, and ε

_{2}=6.59 V are oriented as shownin the circuit. The resistances are R

_{1}=5.47 kΩ and R

_{2}=2.81 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=1.64 mA and I

_{4}=0.341 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 1.299E+00 mA
- b) 1.429E+00 mA
- c) 1.572E+00 mA
- d) 1.729E+00 mA
- e) 1.902E+00 mA

_{1}= 1.33 Ω, R

_{2}= 1.72 Ω, and R

_{2}= 3.69 Ω. V

_{1}and V

_{3}are text 0.606 V and 3.31 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.608 V. What is the absolute value of the current through R

_{1}?

- a) 1.137E-01 A
- b) 1.251E-01 A
- c) 1.376E-01 A
- d) 1.514E-01 A
- e) 1.665E-01 A

_{1}=2.84 Ω, R

_{2}=7.06 Ω, and R

_{3}=13.1 Ω. What is the power dissipated by R

_{2}?

- a) 1.418E+01 W
- b) 1.560E+01 W
- c) 1.716E+01 W
- d) 1.887E+01 W
- e) 2.076E+01 W

_{1}=36.7 V, and ε

_{2}=13.6 V are oriented as shownin the circuit. The resistances are R

_{1}=2.86 kΩ and R

_{2}=2.2 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.02 mA and I

_{4}=0.854 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 1.380E+01 V
- b) 1.518E+01 V
- c) 1.670E+01 V
- d) 1.837E+01 V
- e) 2.020E+01 V

#### c10 A2[edit | edit source]

1) The resistances in the figure shown are R_{1}= 1.81 Ω, R

_{2}= 1.18 Ω, and R

_{2}= 2.62 Ω. V

_{1}and V

_{3}are text 0.628 V and 2.54 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.748 V. What is the absolute value of the current through R

_{1}?

- a) 1.552E-01 A
- b) 1.707E-01 A
- c) 1.878E-01 A
- d) 2.065E-01 A
- e) 2.272E-01 A

_{1}=40.7 V, and ε

_{2}=12.3 V are oriented as shownin the circuit. The resistances are R

_{1}=3.5 kΩ and R

_{2}=1.94 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.42 mA and I

_{4}=0.932 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 1.440E+01 V
- b) 1.584E+01 V
- c) 1.742E+01 V
- d) 1.916E+01 V
- e) 2.108E+01 V

_{1}=24.8 V, and ε

_{2}=10.3 V are oriented as shownin the circuit. The resistances are R

_{1}=2.19 kΩ and R

_{2}=1.6 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.49 mA and I

_{4}=0.83 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 1.660E+00 mA
- b) 1.826E+00 mA
- c) 2.009E+00 mA
- d) 2.209E+00 mA
- e) 2.430E+00 mA

_{1}=2.77 Ω, R

_{2}=6.07 Ω, and R

_{3}=14.5 Ω. What is the power dissipated by R

_{2}?

- a) 1.190E+01 W
- b) 1.309E+01 W
- c) 1.440E+01 W
- d) 1.584E+01 W
- e) 1.742E+01 W

### c10 B0[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.73 Ω, R

_{2}= 1.4 Ω, and R

_{2}= 2.35 Ω. V

_{1}and V

_{3}are text 0.549 V and 1.27 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.584 V. What is the absolute value of the current through R

_{1}?

- a) 1.213E-01 A
- b) 1.334E-01 A
- c) 1.468E-01 A
- d) 1.614E-01 A
- e) 1.776E-01 A

_{1}=1.64 Ω, R

_{2}=6.56 Ω, and R

_{3}=12.8 Ω. What is the power dissipated by R

_{2}?

- a) 2.470E+01 W
- b) 2.717E+01 W
- c) 2.989E+01 W
- d) 3.288E+01 W
- e) 3.617E+01 W

_{1}=46.1 V, and ε

_{2}=16.2 V are oriented as shownin the circuit. The resistances are R

_{1}=5.17 kΩ and R

_{2}=2.06 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.97 mA and I

_{4}=1.07 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 1.309E+01 V
- b) 1.440E+01 V
- c) 1.584E+01 V
- d) 1.742E+01 V
- e) 1.917E+01 V

4) A given battery has a 12 V emf and an internal resistance of 0.107 Ω. If it is connected to a 0.814 Ω resistor what is the power dissipated by that load?

- a) 1.382E+02 W
- b) 1.520E+02 W
- c) 1.672E+02 W
- d) 1.839E+02 W
- e) 2.023E+02 W

#### c10 B1[edit | edit source]

1) The resistances in the figure shown are R_{1}= 1.6 Ω, R

_{2}= 1.3 Ω, and R

_{2}= 2.22 Ω. V

_{1}and V

_{3}are text 0.55 V and 3.18 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.743 V. What is the absolute value of the current through R

_{1}?

- a) 1.721E-01 A
- b) 1.893E-01 A
- c) 2.082E-01 A
- d) 2.291E-01 A
- e) 2.520E-01 A

2) A given battery has a 11 V emf and an internal resistance of 0.0998 Ω. If it is connected to a 0.417 Ω resistor what is the power dissipated by that load?

- a) 1.419E+02 W
- b) 1.561E+02 W
- c) 1.717E+02 W
- d) 1.889E+02 W
- e) 2.078E+02 W

_{1}=27.9 V, and ε

_{2}=11.1 V are oriented as shownin the circuit. The resistances are R

_{1}=2.82 kΩ and R

_{2}=2.25 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.1 mA and I

_{4}=0.676 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 8.334E+00 V
- b) 9.167E+00 V
- c) 1.008E+01 V
- d) 1.109E+01 V
- e) 1.220E+01 V

_{1}=1.86 Ω, R

_{2}=7.66 Ω, and R

_{3}=12.9 Ω. What is the power dissipated by R

_{2}?

- a) 1.157E+01 W
- b) 1.273E+01 W
- c) 1.400E+01 W
- d) 1.540E+01 W
- e) 1.694E+01 W

#### c10 B2[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.73 Ω, R

_{2}= 1.4 Ω, and R

_{2}= 2.35 Ω. V

_{1}and V

_{3}are text 0.549 V and 1.27 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.584 V. What is the absolute value of the current through R

_{1}?

- a) 1.213E-01 A
- b) 1.334E-01 A
- c) 1.468E-01 A
- d) 1.614E-01 A
- e) 1.776E-01 A

_{1}=1.68 Ω, R

_{2}=7.52 Ω, and R

_{3}=12.8 Ω. What is the power dissipated by R

_{2}?

- a) 7.827E+00 W
- b) 8.610E+00 W
- c) 9.470E+00 W
- d) 1.042E+01 W
- e) 1.146E+01 W

3) A given battery has a 15 V emf and an internal resistance of 0.113 Ω. If it is connected to a 0.645 Ω resistor what is the power dissipated by that load?

- a) 1.898E+02 W
- b) 2.087E+02 W
- c) 2.296E+02 W
- d) 2.526E+02 W
- e) 2.778E+02 W

_{1}=27.9 V, and ε

_{2}=11.1 V are oriented as shownin the circuit. The resistances are R

_{1}=2.82 kΩ and R

_{2}=2.25 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.1 mA and I

_{4}=0.676 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 8.334E+00 V
- b) 9.167E+00 V
- c) 1.008E+01 V
- d) 1.109E+01 V
- e) 1.220E+01 V

### c10 C0[edit | edit source]

1) Three resistors, R_{1} = 0.672 Ω, and R_{2} = R_{2} = 1.52 Ω, are connected in parallel to a 5.34 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 2.898E+01 W
- b) 3.188E+01 W
- c) 3.507E+01 W
- d) 3.858E+01 W
- e) 4.243E+01 W

_{1}=49.8 V, and ε

_{2}=18.1 V are oriented as shownin the circuit. The resistances are R

_{1}=2.78 kΩ and R

_{2}=2.63 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.51 mA and I

_{4}=0.969 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 7.886E+00 V
- b) 8.675E+00 V
- c) 9.542E+00 V
- d) 1.050E+01 V
- e) 1.155E+01 V

3) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 3 20.9 Ω resistors and one 12.1 Ω resistor. What is the voltage drop across the 12.1 Ω resistor?

- a) 1.234E+00 V
- b) 1.358E+00 V
- c) 1.493E+00 V
- d) 1.643E+00 V
- e) 1.807E+00 V

_{1}=13.6 V, and ε

_{2}=6.53 V are oriented as shownin the circuit. The resistances are R

_{1}=2.89 kΩ and R

_{2}=2.12 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=1.11 mA and I

_{4}=0.311 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 7.264E-01 mA
- b) 7.990E-01 mA
- c) 8.789E-01 mA
- d) 9.668E-01 mA
- e) 1.063E+00 mA

#### c10 C1[edit | edit source]

1) Two sources of emf ε_{1}=29.5 V, and ε

_{2}=11.0 V are oriented as shownin the circuit. The resistances are R

_{1}=2.45 kΩ and R

_{2}=1.96 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.03 mA and I

_{4}=0.783 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 2.247E+00 mA
- b) 2.472E+00 mA
- c) 2.719E+00 mA
- d) 2.991E+00 mA
- e) 3.290E+00 mA

2) Three resistors, R_{1} = 1.43 Ω, and R_{2} = R_{2} = 3.25 Ω, are connected in parallel to a 9.03 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 5.184E+01 W
- b) 5.702E+01 W
- c) 6.272E+01 W
- d) 6.900E+01 W
- e) 7.590E+01 W

_{1}=35.5 V, and ε

_{2}=12.3 V are oriented as shownin the circuit. The resistances are R

_{1}=4.49 kΩ and R

_{2}=1.53 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.63 mA and I

_{4}=0.972 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 1.093E+01 V
- b) 1.202E+01 V
- c) 1.322E+01 V
- d) 1.454E+01 V
- e) 1.600E+01 V

4) A battery with a terminal voltage of 8.72 V is connected to a circuit consisting of 2 15.8 Ω resistors and one 9.58 Ω resistor. What is the voltage drop across the 9.58 Ω resistor?

- a) 1.677E+00 V
- b) 1.844E+00 V
- c) 2.029E+00 V
- d) 2.231E+00 V
- e) 2.455E+00 V

#### c10 C2[edit | edit source]

1) Two sources of emf ε_{1}=29.5 V, and ε

_{2}=11.0 V are oriented as shownin the circuit. The resistances are R

_{1}=2.45 kΩ and R

_{2}=1.96 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.03 mA and I

_{4}=0.783 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 2.247E+00 mA
- b) 2.472E+00 mA
- c) 2.719E+00 mA
- d) 2.991E+00 mA
- e) 3.290E+00 mA

_{1}=49.8 V, and ε

_{2}=18.1 V are oriented as shownin the circuit. The resistances are R

_{1}=2.78 kΩ and R

_{2}=2.63 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.51 mA and I

_{4}=0.969 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 7.886E+00 V
- b) 8.675E+00 V
- c) 9.542E+00 V
- d) 1.050E+01 V
- e) 1.155E+01 V

3) Three resistors, R_{1} = 0.548 Ω, and R_{2} = R_{2} = 1.24 Ω, are connected in parallel to a 7.16 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 7.029E+01 W
- b) 7.731E+01 W
- c) 8.505E+01 W
- d) 9.355E+01 W
- e) 1.029E+02 W

4) A battery with a terminal voltage of 9.88 V is connected to a circuit consisting of 3 15.9 Ω resistors and one 10.8 Ω resistor. What is the voltage drop across the 10.8 Ω resistor?

- a) 1.370E+00 V
- b) 1.507E+00 V
- c) 1.658E+00 V
- d) 1.824E+00 V
- e) 2.006E+00 V

### c10 D0[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.04 Ω, R

_{2}= 1.19 Ω, and R

_{2}= 2.5 Ω. V

_{1}and V

_{3}are text 0.507 V and 3.07 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.602 V. What is the absolute value of the current through R

_{1}?

- a) 1.401E-01 A
- b) 1.542E-01 A
- c) 1.696E-01 A
- d) 1.865E-01 A
- e) 2.052E-01 A

2) A battery with a terminal voltage of 10.6 V is connected to a circuit consisting of 2 21.1 Ω resistors and one 12.8 Ω resistor. What is the voltage drop across the 12.8 Ω resistor?

- a) 2.467E+00 V
- b) 2.714E+00 V
- c) 2.985E+00 V
- d) 3.283E+00 V
- e) 3.612E+00 V

_{1}=16.8 V, and ε

_{2}=6.85 V are oriented as shownin the circuit. The resistances are R

_{1}=4.43 kΩ and R

_{2}=1.24 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.68 mA and I

_{4}=0.758 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 3.890E+00 V
- b) 4.279E+00 V
- c) 4.707E+00 V
- d) 5.178E+00 V
- e) 5.695E+00 V

4) A given battery has a 15 V emf and an internal resistance of 0.177 Ω. If it is connected to a 0.824 Ω resistor what is the power dissipated by that load?

- a) 1.682E+02 W
- b) 1.850E+02 W
- c) 2.035E+02 W
- d) 2.239E+02 W
- e) 2.463E+02 W

#### c10 D1[edit | edit source]

1) The resistances in the figure shown are R_{1}= 1.81 Ω, R

_{2}= 1.18 Ω, and R

_{2}= 2.62 Ω. V

_{1}and V

_{3}are text 0.628 V and 2.54 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.748 V. What is the absolute value of the current through R

_{1}?

- a) 1.552E-01 A
- b) 1.707E-01 A
- c) 1.878E-01 A
- d) 2.065E-01 A
- e) 2.272E-01 A

_{1}=26.2 V, and ε

_{2}=11.5 V are oriented as shownin the circuit. The resistances are R

_{1}=2.13 kΩ and R

_{2}=1.72 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.11 mA and I

_{4}=0.746 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 4.275E+00 V
- b) 4.703E+00 V
- c) 5.173E+00 V
- d) 5.691E+00 V
- e) 6.260E+00 V

3) A given battery has a 14 V emf and an internal resistance of 0.0842 Ω. If it is connected to a 0.835 Ω resistor what is the power dissipated by that load?

- a) 1.455E+02 W
- b) 1.601E+02 W
- c) 1.761E+02 W
- d) 1.937E+02 W
- e) 2.131E+02 W

4) A battery with a terminal voltage of 14.9 V is connected to a circuit consisting of 2 16.3 Ω resistors and one 9.8 Ω resistor. What is the voltage drop across the 9.8 Ω resistor?

- a) 2.352E+00 V
- b) 2.587E+00 V
- c) 2.846E+00 V
- d) 3.131E+00 V
- e) 3.444E+00 V

#### c10 D2[edit | edit source]

1) A battery with a terminal voltage of 10.6 V is connected to a circuit consisting of 2 21.1 Ω resistors and one 12.8 Ω resistor. What is the voltage drop across the 12.8 Ω resistor?

- a) 2.467E+00 V
- b) 2.714E+00 V
- c) 2.985E+00 V
- d) 3.283E+00 V
- e) 3.612E+00 V

_{1}= 1.1 Ω, R

_{2}= 1.55 Ω, and R

_{2}= 2.11 Ω. V

_{1}and V

_{3}are text 0.545 V and 3.22 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.744 V. What is the absolute value of the current through R

_{1}?

- a) 1.886E-01 A
- b) 2.075E-01 A
- c) 2.282E-01 A
- d) 2.510E-01 A
- e) 2.761E-01 A

_{1}=16.8 V, and ε

_{2}=7.15 V are oriented as shownin the circuit. The resistances are R

_{1}=3.12 kΩ and R

_{2}=1.51 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=1.95 mA and I

_{4}=0.603 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 4.108E+00 V
- b) 4.519E+00 V
- c) 4.970E+00 V
- d) 5.468E+00 V
- e) 6.014E+00 V

4) A given battery has a 14 V emf and an internal resistance of 0.192 Ω. If it is connected to a 0.766 Ω resistor what is the power dissipated by that load?

- a) 1.229E+02 W
- b) 1.352E+02 W
- c) 1.487E+02 W
- d) 1.636E+02 W
- e) 1.799E+02 W

### c10 E0[edit | edit source]

1) In the circuit shown V=18.4 V, R_{1}=1.64 Ω, R

_{2}=6.56 Ω, and R

_{3}=12.8 Ω. What is the power dissipated by R

_{2}?

- a) 2.470E+01 W
- b) 2.717E+01 W
- c) 2.989E+01 W
- d) 3.288E+01 W
- e) 3.617E+01 W

_{1}=42.2 V, and ε

_{2}=17.8 V are oriented as shownin the circuit. The resistances are R

_{1}=4.2 kΩ and R

_{2}=2.83 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.5 mA and I

_{4}=0.749 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 1.056E+01 V
- b) 1.161E+01 V
- c) 1.277E+01 V
- d) 1.405E+01 V
- e) 1.545E+01 V

3) A given battery has a 14 V emf and an internal resistance of 0.132 Ω. If it is connected to a 0.689 Ω resistor what is the power dissipated by that load?

- a) 1.656E+02 W
- b) 1.821E+02 W
- c) 2.003E+02 W
- d) 2.204E+02 W
- e) 2.424E+02 W

- a) 5.401E+00 s
- b) 5.941E+00 s
- c) 6.535E+00 s
- d) 7.189E+00 s
- e) 7.908E+00 s

#### c10 E1[edit | edit source]

1) A given battery has a 14 V emf and an internal resistance of 0.0842 Ω. If it is connected to a 0.835 Ω resistor what is the power dissipated by that load?

- a) 1.455E+02 W
- b) 1.601E+02 W
- c) 1.761E+02 W
- d) 1.937E+02 W
- e) 2.131E+02 W

- a) 1.385E+01 s
- b) 1.524E+01 s
- c) 1.676E+01 s
- d) 1.844E+01 s
- e) 2.028E+01 s

_{1}=1.18 Ω, R

_{2}=5.28 Ω, and R

_{3}=14.8 Ω. What is the power dissipated by R

_{2}?

- a) 2.172E+01 W
- b) 2.389E+01 W
- c) 2.628E+01 W
- d) 2.891E+01 W
- e) 3.180E+01 W

_{1}=36.7 V, and ε

_{2}=13.6 V are oriented as shownin the circuit. The resistances are R

_{1}=2.86 kΩ and R

_{2}=2.2 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.02 mA and I

_{4}=0.854 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 1.380E+01 V
- b) 1.518E+01 V
- c) 1.670E+01 V
- d) 1.837E+01 V
- e) 2.020E+01 V

#### c10 E2[edit | edit source]

1) A given battery has a 15 V emf and an internal resistance of 0.162 Ω. If it is connected to a 0.561 Ω resistor what is the power dissipated by that load?

- a) 1.814E+02 W
- b) 1.996E+02 W
- c) 2.195E+02 W
- d) 2.415E+02 W
- e) 2.656E+02 W

_{1}=36.7 V, and ε

_{2}=13.6 V are oriented as shownin the circuit. The resistances are R

_{1}=2.86 kΩ and R

_{2}=2.2 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.02 mA and I

_{4}=0.854 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 1.380E+01 V
- b) 1.518E+01 V
- c) 1.670E+01 V
- d) 1.837E+01 V
- e) 2.020E+01 V

- a) 1.218E+01 s
- b) 1.339E+01 s
- c) 1.473E+01 s
- d) 1.621E+01 s
- e) 1.783E+01 s

_{1}=2.27 Ω, R

_{2}=6.79 Ω, and R

_{3}=15.1 Ω. What is the power dissipated by R

_{2}?

- a) 1.446E+01 W
- b) 1.591E+01 W
- c) 1.750E+01 W
- d) 1.925E+01 W
- e) 2.117E+01 W

### c10 F0[edit | edit source]

1) Two sources of emf ε_{1}=38.9 V, and ε

_{2}=15.7 V are oriented as shownin the circuit. The resistances are R

_{1}=2.24 kΩ and R

_{2}=2.23 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.01 mA and I

_{4}=0.86 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 1.955E+00 mA
- b) 2.150E+00 mA
- c) 2.365E+00 mA
- d) 2.601E+00 mA
- e) 2.862E+00 mA

_{1}=2.66 Ω, R

_{2}=7.29 Ω, and R

_{3}=14.5 Ω. What is the power dissipated by R

_{2}?

- a) 7.123E+00 W
- b) 7.835E+00 W
- c) 8.618E+00 W
- d) 9.480E+00 W
- e) 1.043E+01 W

_{1}= 1.1 Ω, R

_{2}= 1.55 Ω, and R

_{2}= 2.11 Ω. V

_{1}and V

_{3}are text 0.545 V and 3.22 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.744 V. What is the absolute value of the current through R

_{1}?

- a) 1.886E-01 A
- b) 2.075E-01 A
- c) 2.282E-01 A
- d) 2.510E-01 A
- e) 2.761E-01 A

4) A battery with a terminal voltage of 13.2 V is connected to a circuit consisting of 3 15.7 Ω resistors and one 10.3 Ω resistor. What is the voltage drop across the 10.3 Ω resistor?

- a) 1.958E+00 V
- b) 2.153E+00 V
- c) 2.369E+00 V
- d) 2.606E+00 V
- e) 2.866E+00 V

#### c10 F1[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.04 Ω, R

_{2}= 1.19 Ω, and R

_{2}= 2.5 Ω. V

_{1}and V

_{3}are text 0.507 V and 3.07 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.602 V. What is the absolute value of the current through R

_{1}?

- a) 1.401E-01 A
- b) 1.542E-01 A
- c) 1.696E-01 A
- d) 1.865E-01 A
- e) 2.052E-01 A

_{1}=39.0 V, and ε

_{2}=15.9 V are oriented as shownin the circuit. The resistances are R

_{1}=3.4 kΩ and R

_{2}=2.12 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.58 mA and I

_{4}=0.978 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 2.150E+00 mA
- b) 2.365E+00 mA
- c) 2.602E+00 mA
- d) 2.862E+00 mA
- e) 3.148E+00 mA

3) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 3 20.9 Ω resistors and one 12.1 Ω resistor. What is the voltage drop across the 12.1 Ω resistor?

- a) 1.234E+00 V
- b) 1.358E+00 V
- c) 1.493E+00 V
- d) 1.643E+00 V
- e) 1.807E+00 V

_{1}=1.18 Ω, R

_{2}=5.28 Ω, and R

_{3}=14.8 Ω. What is the power dissipated by R

_{2}?

- a) 2.172E+01 W
- b) 2.389E+01 W
- c) 2.628E+01 W
- d) 2.891E+01 W
- e) 3.180E+01 W

#### c10 F2[edit | edit source]

1) The resistances in the figure shown are R_{1}= 1.81 Ω, R

_{2}= 1.18 Ω, and R

_{2}= 2.62 Ω. V

_{1}and V

_{3}are text 0.628 V and 2.54 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.748 V. What is the absolute value of the current through R

_{1}?

- a) 1.552E-01 A
- b) 1.707E-01 A
- c) 1.878E-01 A
- d) 2.065E-01 A
- e) 2.272E-01 A

_{1}=49.6 V, and ε

_{2}=19.3 V are oriented as shownin the circuit. The resistances are R

_{1}=4.87 kΩ and R

_{2}=2.81 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.37 mA and I

_{4}=1.01 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 3.055E+00 mA
- b) 3.360E+00 mA
- c) 3.696E+00 mA
- d) 4.066E+00 mA
- e) 4.472E+00 mA

3) A battery with a terminal voltage of 8.66 V is connected to a circuit consisting of 3 19.6 Ω resistors and one 10.6 Ω resistor. What is the voltage drop across the 10.6 Ω resistor?

- a) 1.202E+00 V
- b) 1.323E+00 V
- c) 1.455E+00 V
- d) 1.600E+00 V
- e) 1.761E+00 V

_{1}=1.68 Ω, R

_{2}=7.84 Ω, and R

_{3}=12.3 Ω. What is the power dissipated by R

_{2}?

- a) 2.240E+01 W
- b) 2.464E+01 W
- c) 2.710E+01 W
- d) 2.981E+01 W
- e) 3.279E+01 W

### c10 G0[edit | edit source]

1) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 130 V. If the combined external and internal resistance is 109 &Omega and the capacitance is 59 mF, how long will it take for the capacitor's voltage to reach 69.9 V?- a) 3.728E+00 s
- b) 4.101E+00 s
- c) 4.511E+00 s
- d) 4.962E+00 s
- e) 5.458E+00 s

_{1}=57.0 V, and ε

_{2}=18.1 V are oriented as shownin the circuit. The resistances are R

_{1}=4.95 kΩ and R

_{2}=2.09 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.23 mA and I

_{4}=1.04 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 1.921E+01 V
- b) 2.114E+01 V
- c) 2.325E+01 V
- d) 2.557E+01 V
- e) 2.813E+01 V

_{1}= 2.49 Ω, R

_{2}= 1.72 Ω, and R

_{2}= 3.58 Ω. V

_{1}and V

_{3}are text 0.417 V and 1.83 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.53 V. What is the absolute value of the current through R

_{1}?

- a) 8.220E-02 A
- b) 9.042E-02 A
- c) 9.946E-02 A
- d) 1.094E-01 A
- e) 1.203E-01 A

4) A given battery has a 10 V emf and an internal resistance of 0.119 Ω. If it is connected to a 0.445 Ω resistor what is the power dissipated by that load?

- a) 1.272E+02 W
- b) 1.399E+02 W
- c) 1.539E+02 W
- d) 1.693E+02 W
- e) 1.862E+02 W

#### c10 G1[edit | edit source]

1) A given battery has a 11 V emf and an internal resistance of 0.0998 Ω. If it is connected to a 0.417 Ω resistor what is the power dissipated by that load?

- a) 1.419E+02 W
- b) 1.561E+02 W
- c) 1.717E+02 W
- d) 1.889E+02 W
- e) 2.078E+02 W

_{1}=30.6 V, and ε

_{2}=12.0 V are oriented as shownin the circuit. The resistances are R

_{1}=3.46 kΩ and R

_{2}=2.77 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=1.97 mA and I

_{4}=0.643 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 4.986E+00 V
- b) 5.484E+00 V
- c) 6.033E+00 V
- d) 6.636E+00 V
- e) 7.299E+00 V

_{1}= 2.38 Ω, R

_{2}= 1.87 Ω, and R

_{2}= 2.32 Ω. V

_{1}and V

_{3}are text 0.605 V and 3.8 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.67 V. What is the absolute value of the current through R

_{1}?

- a) 8.147E-02 A
- b) 8.962E-02 A
- c) 9.858E-02 A
- d) 1.084E-01 A
- e) 1.193E-01 A

- a) 1.385E+01 s
- b) 1.524E+01 s
- c) 1.676E+01 s
- d) 1.844E+01 s
- e) 2.028E+01 s

#### c10 G2[edit | edit source]

1) The resistances in the figure shown are R_{1}= 1.54 Ω, R

_{2}= 0.927 Ω, and R

_{2}= 2.46 Ω. V

_{1}and V

_{3}are text 0.632 V and 2.12 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.586 V. What is the absolute value of the current through R

_{1}?

- a) 1.770E-01 A
- b) 1.947E-01 A
- c) 2.141E-01 A
- d) 2.355E-01 A
- e) 2.591E-01 A

- a) 1.905E+01 s
- b) 2.095E+01 s
- c) 2.304E+01 s
- d) 2.535E+01 s
- e) 2.788E+01 s

_{1}=26.2 V, and ε

_{2}=11.5 V are oriented as shownin the circuit. The resistances are R

_{1}=2.13 kΩ and R

_{2}=1.72 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.11 mA and I

_{4}=0.746 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 4.275E+00 V
- b) 4.703E+00 V
- c) 5.173E+00 V
- d) 5.691E+00 V
- e) 6.260E+00 V

4) A given battery has a 14 V emf and an internal resistance of 0.0842 Ω. If it is connected to a 0.835 Ω resistor what is the power dissipated by that load?

- a) 1.455E+02 W
- b) 1.601E+02 W
- c) 1.761E+02 W
- d) 1.937E+02 W
- e) 2.131E+02 W

### c10 H0[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.34 Ω, R

_{2}= 1.34 Ω, and R

_{2}= 2.94 Ω. V

_{1}and V

_{3}are text 0.609 V and 1.68 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.541 V. What is the absolute value of the current through R

_{1}?

- a) 1.464E-01 A
- b) 1.610E-01 A
- c) 1.772E-01 A
- d) 1.949E-01 A
- e) 2.144E-01 A

2) Three resistors, R_{1} = 1.39 Ω, and R_{2} = R_{2} = 3.06 Ω, are connected in parallel to a 6.21 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 2.293E+01 W
- b) 2.522E+01 W
- c) 2.774E+01 W
- d) 3.052E+01 W
- e) 3.357E+01 W

_{1}=38.9 V, and ε

_{2}=16.9 V are oriented as shownin the circuit. The resistances are R

_{1}=3.3 kΩ and R

_{2}=2.51 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.34 mA and I

_{4}=0.955 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 7.031E+00 V
- b) 7.734E+00 V
- c) 8.507E+00 V
- d) 9.358E+00 V
- e) 1.029E+01 V

4) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 2 15.9 Ω resistors and one 10.4 Ω resistor. What is the voltage drop across the 10.4 Ω resistor?

- a) 1.709E+00 V
- b) 1.880E+00 V
- c) 2.068E+00 V
- d) 2.275E+00 V
- e) 2.503E+00 V

#### c10 H1[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.24 Ω, R

_{2}= 1.03 Ω, and R

_{2}= 2.39 Ω. V

_{1}and V

_{3}are text 0.595 V and 2.58 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.707 V. What is the absolute value of the current through R

_{1}?

- a) 1.834E-01 A
- b) 2.018E-01 A
- c) 2.220E-01 A
- d) 2.441E-01 A
- e) 2.686E-01 A

_{1}=38.8 V, and ε

_{2}=14.9 V are oriented as shownin the circuit. The resistances are R

_{1}=5.83 kΩ and R

_{2}=1.77 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.57 mA and I

_{4}=1.19 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 1.013E+01 V
- b) 1.115E+01 V
- c) 1.226E+01 V
- d) 1.349E+01 V
- e) 1.484E+01 V

3) Three resistors, R_{1} = 1.39 Ω, and R_{2} = R_{2} = 3.06 Ω, are connected in parallel to a 6.21 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 2.293E+01 W
- b) 2.522E+01 W
- c) 2.774E+01 W
- d) 3.052E+01 W
- e) 3.357E+01 W

4) A battery with a terminal voltage of 9.88 V is connected to a circuit consisting of 3 15.9 Ω resistors and one 10.8 Ω resistor. What is the voltage drop across the 10.8 Ω resistor?

- a) 1.370E+00 V
- b) 1.507E+00 V
- c) 1.658E+00 V
- d) 1.824E+00 V
- e) 2.006E+00 V

#### c10 H2[edit | edit source]

1) Two sources of emf ε_{1}=57.0 V, and ε

_{2}=18.1 V are oriented as shownin the circuit. The resistances are R

_{1}=4.95 kΩ and R

_{2}=2.09 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.23 mA and I

_{4}=1.04 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 1.921E+01 V
- b) 2.114E+01 V
- c) 2.325E+01 V
- d) 2.557E+01 V
- e) 2.813E+01 V

_{1}= 2.67 Ω, R

_{2}= 1.78 Ω, and R

_{2}= 3.63 Ω. V

_{1}and V

_{3}are text 0.448 V and 2.29 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.656 V. What is the absolute value of the current through R

_{1}?

- a) 9.287E-02 A
- b) 1.022E-01 A
- c) 1.124E-01 A
- d) 1.236E-01 A
- e) 1.360E-01 A

3) Three resistors, R_{1} = 1.41 Ω, and R_{2} = R_{2} = 3.17 Ω, are connected in parallel to a 5.89 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 1.681E+01 W
- b) 1.849E+01 W
- c) 2.033E+01 W
- d) 2.237E+01 W
- e) 2.460E+01 W

4) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 2 15.9 Ω resistors and one 10.4 Ω resistor. What is the voltage drop across the 10.4 Ω resistor?

- a) 1.709E+00 V
- b) 1.880E+00 V
- c) 2.068E+00 V
- d) 2.275E+00 V
- e) 2.503E+00 V

### c10 I0[edit | edit source]

1) Two sources of emf ε_{1}=16.8 V, and ε

_{2}=7.15 V are oriented as shownin the circuit. The resistances are R

_{1}=3.12 kΩ and R

_{2}=1.51 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=1.95 mA and I

_{4}=0.603 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 4.108E+00 V
- b) 4.519E+00 V
- c) 4.970E+00 V
- d) 5.468E+00 V
- e) 6.014E+00 V

- a) 9.718E+00 s
- b) 1.069E+01 s
- c) 1.176E+01 s
- d) 1.293E+01 s
- e) 1.423E+01 s

3) A battery with a terminal voltage of 10.6 V is connected to a circuit consisting of 2 21.1 Ω resistors and one 12.8 Ω resistor. What is the voltage drop across the 12.8 Ω resistor?

- a) 2.467E+00 V
- b) 2.714E+00 V
- c) 2.985E+00 V
- d) 3.283E+00 V
- e) 3.612E+00 V

_{1}=39.4 V, and ε

_{2}=12.2 V are oriented as shownin the circuit. The resistances are R

_{1}=3.84 kΩ and R

_{2}=2.01 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.71 mA and I

_{4}=0.669 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 8.825E+00 V
- b) 9.708E+00 V
- c) 1.068E+01 V
- d) 1.175E+01 V
- e) 1.292E+01 V

#### c10 I1[edit | edit source]

1) Two sources of emf ε_{1}=21.0 V, and ε

_{2}=8.72 V are oriented as shownin the circuit. The resistances are R

_{1}=3.12 kΩ and R

_{2}=1.15 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.41 mA and I

_{4}=0.816 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 5.267E+00 V
- b) 5.794E+00 V
- c) 6.373E+00 V
- d) 7.011E+00 V
- e) 7.712E+00 V

2) A battery with a terminal voltage of 12.4 V is connected to a circuit consisting of 3 21.6 Ω resistors and one 12.1 Ω resistor. What is the voltage drop across the 12.1 Ω resistor?

- a) 1.333E+00 V
- b) 1.466E+00 V
- c) 1.612E+00 V
- d) 1.774E+00 V
- e) 1.951E+00 V

_{1}=58.5 V, and ε

_{2}=17.3 V are oriented as shownin the circuit. The resistances are R

_{1}=3.06 kΩ and R

_{2}=1.88 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=5.25 mA and I

_{4}=1.25 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 1.981E+01 V
- b) 2.179E+01 V
- c) 2.397E+01 V
- d) 2.637E+01 V
- e) 2.901E+01 V

- a) 5.401E+00 s
- b) 5.941E+00 s
- c) 6.535E+00 s
- d) 7.189E+00 s
- e) 7.908E+00 s

#### c10 I2[edit | edit source]

1) Two sources of emf ε_{1}=21.0 V, and ε

_{2}=8.72 V are oriented as shownin the circuit. The resistances are R

_{1}=3.12 kΩ and R

_{2}=1.15 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.41 mA and I

_{4}=0.816 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 5.267E+00 V
- b) 5.794E+00 V
- c) 6.373E+00 V
- d) 7.011E+00 V
- e) 7.712E+00 V

2) A battery with a terminal voltage of 10.6 V is connected to a circuit consisting of 2 21.1 Ω resistors and one 12.8 Ω resistor. What is the voltage drop across the 12.8 Ω resistor?

- a) 2.467E+00 V
- b) 2.714E+00 V
- c) 2.985E+00 V
- d) 3.283E+00 V
- e) 3.612E+00 V

- a) 1.905E+01 s
- b) 2.095E+01 s
- c) 2.304E+01 s
- d) 2.535E+01 s
- e) 2.788E+01 s

_{1}=42.2 V, and ε

_{2}=17.8 V are oriented as shownin the circuit. The resistances are R

_{1}=4.2 kΩ and R

_{2}=2.83 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.5 mA and I

_{4}=0.749 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 1.056E+01 V
- b) 1.161E+01 V
- c) 1.277E+01 V
- d) 1.405E+01 V
- e) 1.545E+01 V

### c10 J0[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.38 Ω, R

_{2}= 1.87 Ω, and R

_{2}= 2.32 Ω. V

_{1}and V

_{3}are text 0.605 V and 3.8 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.67 V. What is the absolute value of the current through R

_{1}?

- a) 8.147E-02 A
- b) 8.962E-02 A
- c) 9.858E-02 A
- d) 1.084E-01 A
- e) 1.193E-01 A

2) Three resistors, R_{1} = 0.61 Ω, and R_{2} = R_{2} = 1.35 Ω, are connected in parallel to a 7.04 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 7.386E+01 W
- b) 8.125E+01 W
- c) 8.937E+01 W
- d) 9.831E+01 W
- e) 1.081E+02 W

3) A battery with a terminal voltage of 9.88 V is connected to a circuit consisting of 3 15.9 Ω resistors and one 10.8 Ω resistor. What is the voltage drop across the 10.8 Ω resistor?

- a) 1.370E+00 V
- b) 1.507E+00 V
- c) 1.658E+00 V
- d) 1.824E+00 V
- e) 2.006E+00 V

- a) 1.905E+01 s
- b) 2.095E+01 s
- c) 2.304E+01 s
- d) 2.535E+01 s
- e) 2.788E+01 s

#### c10 J1[edit | edit source]

1) Three resistors, R_{1} = 0.87 Ω, and R_{2} = R_{2} = 2.0 Ω, are connected in parallel to a 8.57 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 6.977E+01 W
- b) 7.674E+01 W
- c) 8.442E+01 W
- d) 9.286E+01 W
- e) 1.021E+02 W

_{1}= 2.41 Ω, R

_{2}= 1.74 Ω, and R

_{2}= 3.35 Ω. V

_{1}and V

_{3}are text 0.508 V and 1.36 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.595 V. What is the absolute value of the current through R

_{1}?

- a) 1.203E-01 A
- b) 1.324E-01 A
- c) 1.456E-01 A
- d) 1.602E-01 A
- e) 1.762E-01 A

3) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 2 20.3 Ω resistors and one 13.1 Ω resistor. What is the voltage drop across the 13.1 Ω resistor?

- a) 2.843E+00 V
- b) 3.127E+00 V
- c) 3.440E+00 V
- d) 3.784E+00 V
- e) 4.162E+00 V

- a) 1.296E+01 s
- b) 1.425E+01 s
- c) 1.568E+01 s
- d) 1.725E+01 s
- e) 1.897E+01 s

#### c10 J2[edit | edit source]

1) The resistances in the figure shown are R_{1}= 1.18 Ω, R

_{2}= 0.878 Ω, and R

_{2}= 2.11 Ω. V

_{1}and V

_{3}are text 0.637 V and 3.51 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.547 V. What is the absolute value of the current through R

_{1}?

- a) 1.701E-01 A
- b) 1.871E-01 A
- c) 2.058E-01 A
- d) 2.264E-01 A
- e) 2.490E-01 A

2) Three resistors, R_{1} = 1.25 Ω, and R_{2} = R_{2} = 2.82 Ω, are connected in parallel to a 8.6 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 4.890E+01 W
- b) 5.379E+01 W
- c) 5.917E+01 W
- d) 6.508E+01 W
- e) 7.159E+01 W

3) A battery with a terminal voltage of 8.66 V is connected to a circuit consisting of 3 19.6 Ω resistors and one 10.6 Ω resistor. What is the voltage drop across the 10.6 Ω resistor?

- a) 1.202E+00 V
- b) 1.323E+00 V
- c) 1.455E+00 V
- d) 1.600E+00 V
- e) 1.761E+00 V

- a) 3.728E+00 s
- b) 4.101E+00 s
- c) 4.511E+00 s
- d) 4.962E+00 s
- e) 5.458E+00 s

### c10 K0[edit | edit source]

1) In the circuit shown V=10.9 V, R_{1}=1.68 Ω, R

_{2}=7.52 Ω, and R

_{3}=12.8 Ω. What is the power dissipated by R

_{2}?

- a) 7.827E+00 W
- b) 8.610E+00 W
- c) 9.470E+00 W
- d) 1.042E+01 W
- e) 1.146E+01 W

_{1}=24.4 V, and ε

_{2}=6.73 V are oriented as shownin the circuit. The resistances are R

_{1}=5.7 kΩ and R

_{2}=1.95 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.36 mA and I

_{4}=0.418 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 5.418E+00 V
- b) 5.960E+00 V
- c) 6.556E+00 V
- d) 7.212E+00 V
- e) 7.933E+00 V

_{1}= 2.24 Ω, R

_{2}= 1.03 Ω, and R

_{2}= 2.39 Ω. V

_{1}and V

_{3}are text 0.595 V and 2.58 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.707 V. What is the absolute value of the current through R

_{1}?

- a) 1.834E-01 A
- b) 2.018E-01 A
- c) 2.220E-01 A
- d) 2.441E-01 A
- e) 2.686E-01 A

_{1}=21.0 V, and ε

_{2}=8.72 V are oriented as shownin the circuit. The resistances are R

_{1}=3.12 kΩ and R

_{2}=1.15 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.41 mA and I

_{4}=0.816 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 5.267E+00 V
- b) 5.794E+00 V
- c) 6.373E+00 V
- d) 7.011E+00 V
- e) 7.712E+00 V

#### c10 K1[edit | edit source]

1) Two sources of emf ε_{1}=54.9 V, and ε

_{2}=19.8 V are oriented as shownin the circuit. The resistances are R

_{1}=3.93 kΩ and R

_{2}=1.31 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=9.18 mA and I

_{4}=1.83 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 1.779E+01 V
- b) 1.957E+01 V
- c) 2.153E+01 V
- d) 2.368E+01 V
- e) 2.605E+01 V

_{1}=2.84 Ω, R

_{2}=7.06 Ω, and R

_{3}=13.1 Ω. What is the power dissipated by R

_{2}?

- a) 1.418E+01 W
- b) 1.560E+01 W
- c) 1.716E+01 W
- d) 1.887E+01 W
- e) 2.076E+01 W

_{1}= 1.1 Ω, R

_{2}= 1.55 Ω, and R

_{2}= 2.11 Ω. V

_{1}and V

_{3}are text 0.545 V and 3.22 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.744 V. What is the absolute value of the current through R

_{1}?

- a) 1.886E-01 A
- b) 2.075E-01 A
- c) 2.282E-01 A
- d) 2.510E-01 A
- e) 2.761E-01 A

_{1}=38.9 V, and ε

_{2}=14.4 V are oriented as shownin the circuit. The resistances are R

_{1}=4.33 kΩ and R

_{2}=1.65 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=5.59 mA and I

_{4}=1.07 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 9.142E+00 V
- b) 1.006E+01 V
- c) 1.106E+01 V
- d) 1.217E+01 V
- e) 1.338E+01 V

#### c10 K2[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.41 Ω, R

_{2}= 1.74 Ω, and R

_{2}= 3.35 Ω. V

_{1}and V

_{3}are text 0.508 V and 1.36 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.595 V. What is the absolute value of the current through R

_{1}?

- a) 1.203E-01 A
- b) 1.324E-01 A
- c) 1.456E-01 A
- d) 1.602E-01 A
- e) 1.762E-01 A

_{1}=2.66 Ω, R

_{2}=7.29 Ω, and R

_{3}=14.5 Ω. What is the power dissipated by R

_{2}?

- a) 7.123E+00 W
- b) 7.835E+00 W
- c) 8.618E+00 W
- d) 9.480E+00 W
- e) 1.043E+01 W

_{1}=16.8 V, and ε

_{2}=6.85 V are oriented as shownin the circuit. The resistances are R

_{1}=4.43 kΩ and R

_{2}=1.24 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.68 mA and I

_{4}=0.758 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 3.890E+00 V
- b) 4.279E+00 V
- c) 4.707E+00 V
- d) 5.178E+00 V
- e) 5.695E+00 V

_{1}=54.9 V, and ε

_{2}=19.8 V are oriented as shownin the circuit. The resistances are R

_{1}=3.93 kΩ and R

_{2}=1.31 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=9.18 mA and I

_{4}=1.83 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 1.779E+01 V
- b) 1.957E+01 V
- c) 2.153E+01 V
- d) 2.368E+01 V
- e) 2.605E+01 V

### c10 L0[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.38 Ω, R

_{2}= 1.87 Ω, and R

_{2}= 2.32 Ω. V

_{1}and V

_{3}are text 0.605 V and 3.8 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.67 V. What is the absolute value of the current through R

_{1}?

- a) 8.147E-02 A
- b) 8.962E-02 A
- c) 9.858E-02 A
- d) 1.084E-01 A
- e) 1.193E-01 A

_{1}=2.55 Ω, R

_{2}=5.12 Ω, and R

_{3}=12.7 Ω. What is the power dissipated by R

_{2}?

- a) 1.096E+01 W
- b) 1.206E+01 W
- c) 1.326E+01 W
- d) 1.459E+01 W
- e) 1.605E+01 W

- a) 9.718E+00 s
- b) 1.069E+01 s
- c) 1.176E+01 s
- d) 1.293E+01 s
- e) 1.423E+01 s

4) A battery with a terminal voltage of 7.82 V is connected to a circuit consisting of 2 19.3 Ω resistors and one 12.2 Ω resistor. What is the voltage drop across the 12.2 Ω resistor?

- a) 1.552E+00 V
- b) 1.707E+00 V
- c) 1.878E+00 V
- d) 2.066E+00 V
- e) 2.272E+00 V

#### c10 L1[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.42 Ω, R

_{2}= 1.09 Ω, and R

_{2}= 3.89 Ω. V

_{1}and V

_{3}are text 0.677 V and 1.86 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.745 V. What is the absolute value of the current through R

_{1}?

- a) 2.089E-01 A
- b) 2.298E-01 A
- c) 2.528E-01 A
- d) 2.781E-01 A
- e) 3.059E-01 A

2) A battery with a terminal voltage of 8.41 V is connected to a circuit consisting of 3 16.1 Ω resistors and one 10.9 Ω resistor. What is the voltage drop across the 10.9 Ω resistor?

- a) 1.058E+00 V
- b) 1.163E+00 V
- c) 1.280E+00 V
- d) 1.408E+00 V
- e) 1.548E+00 V

_{1}=1.45 Ω, R

_{2}=7.85 Ω, and R

_{3}=15.8 Ω. What is the power dissipated by R

_{2}?

- a) 2.730E+01 W
- b) 3.003E+01 W
- c) 3.304E+01 W
- d) 3.634E+01 W
- e) 3.998E+01 W

- a) 2.177E+01 s
- b) 2.394E+01 s
- c) 2.634E+01 s
- d) 2.897E+01 s
- e) 3.187E+01 s

#### c10 L2[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.04 Ω, R

_{2}= 1.19 Ω, and R

_{2}= 2.5 Ω. V

_{1}and V

_{3}are text 0.507 V and 3.07 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.602 V. What is the absolute value of the current through R

_{1}?

- a) 1.401E-01 A
- b) 1.542E-01 A
- c) 1.696E-01 A
- d) 1.865E-01 A
- e) 2.052E-01 A

- a) 7.688E+00 s
- b) 8.457E+00 s
- c) 9.303E+00 s
- d) 1.023E+01 s
- e) 1.126E+01 s

3) A battery with a terminal voltage of 8.14 V is connected to a circuit consisting of 2 21.5 Ω resistors and one 13.1 Ω resistor. What is the voltage drop across the 13.1 Ω resistor?

- a) 1.298E+00 V
- b) 1.428E+00 V
- c) 1.571E+00 V
- d) 1.728E+00 V
- e) 1.901E+00 V

_{1}=2.66 Ω, R

_{2}=7.29 Ω, and R

_{3}=14.5 Ω. What is the power dissipated by R

_{2}?

- a) 7.123E+00 W
- b) 7.835E+00 W
- c) 8.618E+00 W
- d) 9.480E+00 W
- e) 1.043E+01 W

### c10 M0[edit | edit source]

1) A battery with a terminal voltage of 7.82 V is connected to a circuit consisting of 2 19.3 Ω resistors and one 12.2 Ω resistor. What is the voltage drop across the 12.2 Ω resistor?

- a) 1.552E+00 V
- b) 1.707E+00 V
- c) 1.878E+00 V
- d) 2.066E+00 V
- e) 2.272E+00 V

_{1}= 1.81 Ω, R

_{2}= 1.18 Ω, and R

_{2}= 2.62 Ω. V

_{1}and V

_{3}are text 0.628 V and 2.54 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.748 V. What is the absolute value of the current through R

_{1}?

- a) 1.552E-01 A
- b) 1.707E-01 A
- c) 1.878E-01 A
- d) 2.065E-01 A
- e) 2.272E-01 A

_{1}=2.34 Ω, R

_{2}=7.1 Ω, and R

_{3}=15.3 Ω. What is the power dissipated by R

_{2}?

- a) 1.784E+01 W
- b) 1.963E+01 W
- c) 2.159E+01 W
- d) 2.375E+01 W
- e) 2.612E+01 W

_{1}=18.6 V, and ε

_{2}=5.63 V are oriented as shownin the circuit. The resistances are R

_{1}=3.9 kΩ and R

_{2}=1.1 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.41 mA and I

_{4}=0.614 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 4.342E+00 V
- b) 4.776E+00 V
- c) 5.254E+00 V
- d) 5.779E+00 V
- e) 6.357E+00 V

#### c10 M1[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.54 Ω, R

_{2}= 1.15 Ω, and R

_{2}= 2.9 Ω. V

_{1}and V

_{3}are text 0.446 V and 3.39 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.744 V. What is the absolute value of the current through R

_{1}?

- a) 1.285E-01 A
- b) 1.414E-01 A
- c) 1.555E-01 A
- d) 1.711E-01 A
- e) 1.882E-01 A

2) A battery with a terminal voltage of 14.9 V is connected to a circuit consisting of 2 16.3 Ω resistors and one 9.8 Ω resistor. What is the voltage drop across the 9.8 Ω resistor?

- a) 2.352E+00 V
- b) 2.587E+00 V
- c) 2.846E+00 V
- d) 3.131E+00 V
- e) 3.444E+00 V

_{1}=40.9 V, and ε

_{2}=16.1 V are oriented as shownin the circuit. The resistances are R

_{1}=5.55 kΩ and R

_{2}=1.55 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=6.11 mA and I

_{4}=1.06 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 8.754E+00 V
- b) 9.630E+00 V
- c) 1.059E+01 V
- d) 1.165E+01 V
- e) 1.282E+01 V

_{1}=2.75 Ω, R

_{2}=7.19 Ω, and R

_{3}=14.6 Ω. What is the power dissipated by R

_{2}?

- a) 7.982E+00 W
- b) 8.780E+00 W
- c) 9.658E+00 W
- d) 1.062E+01 W
- e) 1.169E+01 W

#### c10 M2[edit | edit source]

1) A battery with a terminal voltage of 14.9 V is connected to a circuit consisting of 2 16.3 Ω resistors and one 9.8 Ω resistor. What is the voltage drop across the 9.8 Ω resistor?

- a) 2.352E+00 V
- b) 2.587E+00 V
- c) 2.846E+00 V
- d) 3.131E+00 V
- e) 3.444E+00 V

_{1}=27.9 V, and ε

_{2}=11.1 V are oriented as shownin the circuit. The resistances are R

_{1}=2.82 kΩ and R

_{2}=2.25 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.1 mA and I

_{4}=0.676 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 8.334E+00 V
- b) 9.167E+00 V
- c) 1.008E+01 V
- d) 1.109E+01 V
- e) 1.220E+01 V

_{1}= 2.67 Ω, R

_{2}= 1.78 Ω, and R

_{2}= 3.63 Ω. V

_{1}and V

_{3}are text 0.448 V and 2.29 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.656 V. What is the absolute value of the current through R

_{1}?

- a) 9.287E-02 A
- b) 1.022E-01 A
- c) 1.124E-01 A
- d) 1.236E-01 A
- e) 1.360E-01 A

_{1}=2.59 Ω, R

_{2}=5.47 Ω, and R

_{3}=15.8 Ω. What is the power dissipated by R

_{2}?

- a) 2.191E+01 W
- b) 2.410E+01 W
- c) 2.651E+01 W
- d) 2.916E+01 W
- e) 3.208E+01 W

### c10 N0[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.41 Ω, R

_{2}= 1.74 Ω, and R

_{2}= 3.35 Ω. V

_{1}and V

_{3}are text 0.508 V and 1.36 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.595 V. What is the absolute value of the current through R

_{1}?

- a) 1.203E-01 A
- b) 1.324E-01 A
- c) 1.456E-01 A
- d) 1.602E-01 A
- e) 1.762E-01 A

2) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 3 15.7 Ω resistors and one 10.2 Ω resistor. What is the voltage drop across the 10.2 Ω resistor?

- a) 2.074E+00 V
- b) 2.282E+00 V
- c) 2.510E+00 V
- d) 2.761E+00 V
- e) 3.037E+00 V

- a) 1.385E+01 s
- b) 1.524E+01 s
- c) 1.676E+01 s
- d) 1.844E+01 s
- e) 2.028E+01 s

_{1}=43.0 V, and ε

_{2}=13.8 V are oriented as shownin the circuit. The resistances are R

_{1}=3.97 kΩ and R

_{2}=1.12 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=6.25 mA and I

_{4}=1.82 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 3.661E+00 mA
- b) 4.027E+00 mA
- c) 4.430E+00 mA
- d) 4.873E+00 mA
- e) 5.360E+00 mA

#### c10 N1[edit | edit source]

1) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 129 V. If the combined external and internal resistance is 169 &Omega and the capacitance is 76 mF, how long will it take for the capacitor's voltage to reach 109.0 V?- a) 2.177E+01 s
- b) 2.394E+01 s
- c) 2.634E+01 s
- d) 2.897E+01 s
- e) 3.187E+01 s

_{1}=43.7 V, and ε

_{2}=13.1 V are oriented as shownin the circuit. The resistances are R

_{1}=5.21 kΩ and R

_{2}=1.72 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.86 mA and I

_{4}=0.9 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 2.691E+00 mA
- b) 2.960E+00 mA
- c) 3.256E+00 mA
- d) 3.582E+00 mA
- e) 3.940E+00 mA

3) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 2 15.9 Ω resistors and one 10.4 Ω resistor. What is the voltage drop across the 10.4 Ω resistor?

- a) 1.709E+00 V
- b) 1.880E+00 V
- c) 2.068E+00 V
- d) 2.275E+00 V
- e) 2.503E+00 V

_{1}= 2.42 Ω, R

_{2}= 1.09 Ω, and R

_{2}= 3.89 Ω. V

_{1}and V

_{3}are text 0.677 V and 1.86 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.745 V. What is the absolute value of the current through R

_{1}?

- a) 2.089E-01 A
- b) 2.298E-01 A
- c) 2.528E-01 A
- d) 2.781E-01 A
- e) 3.059E-01 A

#### c10 N2[edit | edit source]

1) A battery with a terminal voltage of 8.66 V is connected to a circuit consisting of 3 19.6 Ω resistors and one 10.6 Ω resistor. What is the voltage drop across the 10.6 Ω resistor?

- a) 1.202E+00 V
- b) 1.323E+00 V
- c) 1.455E+00 V
- d) 1.600E+00 V
- e) 1.761E+00 V

_{1}= 1.81 Ω, R

_{2}= 1.18 Ω, and R

_{2}= 2.62 Ω. V

_{1}and V

_{3}are text 0.628 V and 2.54 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.748 V. What is the absolute value of the current through R

_{1}?

- a) 1.552E-01 A
- b) 1.707E-01 A
- c) 1.878E-01 A
- d) 2.065E-01 A
- e) 2.272E-01 A

- a) 1.296E+01 s
- b) 1.425E+01 s
- c) 1.568E+01 s
- d) 1.725E+01 s
- e) 1.897E+01 s

_{1}=36.3 V, and ε

_{2}=12.9 V are oriented as shownin the circuit. The resistances are R

_{1}=4.28 kΩ and R

_{2}=1.58 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.16 mA and I

_{4}=1.2 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 2.224E+00 mA
- b) 2.446E+00 mA
- c) 2.691E+00 mA
- d) 2.960E+00 mA
- e) 3.256E+00 mA

### c10 O0[edit | edit source]

1) Two sources of emf ε_{1}=39.4 V, and ε

_{2}=12.2 V are oriented as shownin the circuit. The resistances are R

_{1}=3.84 kΩ and R

_{2}=2.01 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.71 mA and I

_{4}=0.669 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 8.825E+00 V
- b) 9.708E+00 V
- c) 1.068E+01 V
- d) 1.175E+01 V
- e) 1.292E+01 V

2) Three resistors, R_{1} = 1.74 Ω, and R_{2} = R_{2} = 3.92 Ω, are connected in parallel to a 8.5 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 2.836E+01 W
- b) 3.120E+01 W
- c) 3.432E+01 W
- d) 3.775E+01 W
- e) 4.152E+01 W

_{1}=44.4 V, and ε

_{2}=16.8 V are oriented as shownin the circuit. The resistances are R

_{1}=4.58 kΩ and R

_{2}=1.2 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=8.43 mA and I

_{4}=1.46 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 6.970E+00 mA
- b) 7.667E+00 mA
- c) 8.434E+00 mA
- d) 9.277E+00 mA
- e) 1.020E+01 mA

_{1}= 2.73 Ω, R

_{2}= 1.4 Ω, and R

_{2}= 2.35 Ω. V

_{1}and V

_{3}are text 0.549 V and 1.27 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.584 V. What is the absolute value of the current through R

_{1}?

- a) 1.213E-01 A
- b) 1.334E-01 A
- c) 1.468E-01 A
- d) 1.614E-01 A
- e) 1.776E-01 A

#### c10 O1[edit | edit source]

1) Two sources of emf ε_{1}=29.5 V, and ε

_{2}=11.0 V are oriented as shownin the circuit. The resistances are R

_{1}=2.45 kΩ and R

_{2}=1.96 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.03 mA and I

_{4}=0.783 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 2.247E+00 mA
- b) 2.472E+00 mA
- c) 2.719E+00 mA
- d) 2.991E+00 mA
- e) 3.290E+00 mA

_{1}=39.4 V, and ε

_{2}=12.2 V are oriented as shownin the circuit. The resistances are R

_{1}=3.84 kΩ and R

_{2}=2.01 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.71 mA and I

_{4}=0.669 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 8.825E+00 V
- b) 9.708E+00 V
- c) 1.068E+01 V
- d) 1.175E+01 V
- e) 1.292E+01 V

_{1}= 1.1 Ω, R

_{2}= 1.55 Ω, and R

_{2}= 2.11 Ω. V

_{1}and V

_{3}are text 0.545 V and 3.22 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.744 V. What is the absolute value of the current through R

_{1}?

- a) 1.886E-01 A
- b) 2.075E-01 A
- c) 2.282E-01 A
- d) 2.510E-01 A
- e) 2.761E-01 A

4) Three resistors, R_{1} = 0.855 Ω, and R_{2} = R_{2} = 1.91 Ω, are connected in parallel to a 6.97 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 5.682E+01 W
- b) 6.250E+01 W
- c) 6.875E+01 W
- d) 7.563E+01 W
- e) 8.319E+01 W

#### c10 O2[edit | edit source]

1) Three resistors, R_{1} = 0.686 Ω, and R_{2} = R_{2} = 1.58 Ω, are connected in parallel to a 8.97 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 1.173E+02 W
- b) 1.290E+02 W
- c) 1.419E+02 W
- d) 1.561E+02 W
- e) 1.717E+02 W

_{1}=39.0 V, and ε

_{2}=15.9 V are oriented as shownin the circuit. The resistances are R

_{1}=3.4 kΩ and R

_{2}=2.12 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.58 mA and I

_{4}=0.978 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 2.150E+00 mA
- b) 2.365E+00 mA
- c) 2.602E+00 mA
- d) 2.862E+00 mA
- e) 3.148E+00 mA

_{1}=17.3 V, and ε

_{2}=6.46 V are oriented as shownin the circuit. The resistances are R

_{1}=2.54 kΩ and R

_{2}=2.79 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=1.1 mA and I

_{4}=0.281 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 6.488E+00 V
- b) 7.137E+00 V
- c) 7.850E+00 V
- d) 8.635E+00 V
- e) 9.499E+00 V

_{1}= 2.73 Ω, R

_{2}= 1.4 Ω, and R

_{2}= 2.35 Ω. V

_{1}and V

_{3}are text 0.549 V and 1.27 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.584 V. What is the absolute value of the current through R

_{1}?

- a) 1.213E-01 A
- b) 1.334E-01 A
- c) 1.468E-01 A
- d) 1.614E-01 A
- e) 1.776E-01 A

### c10 P0[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.73 Ω, R

_{2}= 1.4 Ω, and R

_{2}= 2.35 Ω. V

_{1}and V

_{3}are text 0.549 V and 1.27 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.584 V. What is the absolute value of the current through R

_{1}?

- a) 1.213E-01 A
- b) 1.334E-01 A
- c) 1.468E-01 A
- d) 1.614E-01 A
- e) 1.776E-01 A

2) A given battery has a 15 V emf and an internal resistance of 0.162 Ω. If it is connected to a 0.561 Ω resistor what is the power dissipated by that load?

- a) 1.814E+02 W
- b) 1.996E+02 W
- c) 2.195E+02 W
- d) 2.415E+02 W
- e) 2.656E+02 W

- a) 9.024E+00 s
- b) 9.927E+00 s
- c) 1.092E+01 s
- d) 1.201E+01 s
- e) 1.321E+01 s

_{1}=35.5 V, and ε

_{2}=12.3 V are oriented as shownin the circuit. The resistances are R

_{1}=4.49 kΩ and R

_{2}=1.53 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.63 mA and I

_{4}=0.972 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 1.093E+01 V
- b) 1.202E+01 V
- c) 1.322E+01 V
- d) 1.454E+01 V
- e) 1.600E+01 V

#### c10 P1[edit | edit source]

1) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 129 V. If the combined external and internal resistance is 169 &Omega and the capacitance is 76 mF, how long will it take for the capacitor's voltage to reach 109.0 V?- a) 2.177E+01 s
- b) 2.394E+01 s
- c) 2.634E+01 s
- d) 2.897E+01 s
- e) 3.187E+01 s

_{1}=57.0 V, and ε

_{2}=18.1 V are oriented as shownin the circuit. The resistances are R

_{1}=4.95 kΩ and R

_{2}=2.09 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.23 mA and I

_{4}=1.04 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 1.921E+01 V
- b) 2.114E+01 V
- c) 2.325E+01 V
- d) 2.557E+01 V
- e) 2.813E+01 V

3) A given battery has a 12 V emf and an internal resistance of 0.0984 Ω. If it is connected to a 0.485 Ω resistor what is the power dissipated by that load?

- a) 2.052E+02 W
- b) 2.257E+02 W
- c) 2.483E+02 W
- d) 2.731E+02 W
- e) 3.004E+02 W

_{1}= 2.41 Ω, R

_{2}= 1.74 Ω, and R

_{2}= 3.35 Ω. V

_{1}and V

_{3}are text 0.508 V and 1.36 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.595 V. What is the absolute value of the current through R

_{1}?

- a) 1.203E-01 A
- b) 1.324E-01 A
- c) 1.456E-01 A
- d) 1.602E-01 A
- e) 1.762E-01 A

#### c10 P2[edit | edit source]

1) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 466 V. If the combined external and internal resistance is 123 &Omega and the capacitance is 76 mF, how long will it take for the capacitor's voltage to reach 331.0 V?- a) 9.571E+00 s
- b) 1.053E+01 s
- c) 1.158E+01 s
- d) 1.274E+01 s
- e) 1.401E+01 s

_{1}= 1.33 Ω, R

_{2}= 1.72 Ω, and R

_{2}= 3.69 Ω. V

_{1}and V

_{3}are text 0.606 V and 3.31 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.608 V. What is the absolute value of the current through R

_{1}?

- a) 1.137E-01 A
- b) 1.251E-01 A
- c) 1.376E-01 A
- d) 1.514E-01 A
- e) 1.665E-01 A

3) A given battery has a 13 V emf and an internal resistance of 0.106 Ω. If it is connected to a 0.752 Ω resistor what is the power dissipated by that load?

- a) 1.569E+02 W
- b) 1.726E+02 W
- c) 1.899E+02 W
- d) 2.089E+02 W
- e) 2.298E+02 W

_{1}=38.8 V, and ε

_{2}=14.9 V are oriented as shownin the circuit. The resistances are R

_{1}=5.83 kΩ and R

_{2}=1.77 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.57 mA and I

_{4}=1.19 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 1.013E+01 V
- b) 1.115E+01 V
- c) 1.226E+01 V
- d) 1.349E+01 V
- e) 1.484E+01 V

### c10 Q0[edit | edit source]

1) Three resistors, R_{1} = 1.2 Ω, and R_{2} = R_{2} = 2.75 Ω, are connected in parallel to a 6.42 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 2.581E+01 W
- b) 2.839E+01 W
- c) 3.122E+01 W
- d) 3.435E+01 W
- e) 3.778E+01 W

_{1}=58.5 V, and ε

_{2}=17.3 V are oriented as shownin the circuit. The resistances are R

_{1}=3.06 kΩ and R

_{2}=1.88 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=5.25 mA and I

_{4}=1.25 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 1.981E+01 V
- b) 2.179E+01 V
- c) 2.397E+01 V
- d) 2.637E+01 V
- e) 2.901E+01 V

3) A battery with a terminal voltage of 10.6 V is connected to a circuit consisting of 2 21.1 Ω resistors and one 12.8 Ω resistor. What is the voltage drop across the 12.8 Ω resistor?

- a) 2.467E+00 V
- b) 2.714E+00 V
- c) 2.985E+00 V
- d) 3.283E+00 V
- e) 3.612E+00 V

_{1}=26.8 V, and ε

_{2}=10.1 V are oriented as shownin the circuit. The resistances are R

_{1}=2.2 kΩ and R

_{2}=2.55 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.29 mA and I

_{4}=0.464 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 3.436E+00 V
- b) 3.779E+00 V
- c) 4.157E+00 V
- d) 4.573E+00 V
- e) 5.030E+00 V

#### c10 Q1[edit | edit source]

1) Two sources of emf ε_{1}=28.6 V, and ε

_{2}=11.1 V are oriented as shownin the circuit. The resistances are R

_{1}=3.73 kΩ and R

_{2}=1.95 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.27 mA and I

_{4}=0.774 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 6.641E+00 V
- b) 7.305E+00 V
- c) 8.035E+00 V
- d) 8.839E+00 V
- e) 9.723E+00 V

2) A battery with a terminal voltage of 14.6 V is connected to a circuit consisting of 2 21.7 Ω resistors and one 14.4 Ω resistor. What is the voltage drop across the 14.4 Ω resistor?

- a) 3.637E+00 V
- b) 4.001E+00 V
- c) 4.401E+00 V
- d) 4.841E+00 V
- e) 5.325E+00 V

_{1}=54.9 V, and ε

_{2}=19.8 V are oriented as shownin the circuit. The resistances are R

_{1}=3.93 kΩ and R

_{2}=1.31 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=9.18 mA and I

_{4}=1.83 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 1.779E+01 V
- b) 1.957E+01 V
- c) 2.153E+01 V
- d) 2.368E+01 V
- e) 2.605E+01 V

4) Three resistors, R_{1} = 1.74 Ω, and R_{2} = R_{2} = 3.92 Ω, are connected in parallel to a 8.5 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 2.836E+01 W
- b) 3.120E+01 W
- c) 3.432E+01 W
- d) 3.775E+01 W
- e) 4.152E+01 W

#### c10 Q2[edit | edit source]

1) A battery with a terminal voltage of 12.4 V is connected to a circuit consisting of 3 21.6 Ω resistors and one 12.1 Ω resistor. What is the voltage drop across the 12.1 Ω resistor?

- a) 1.333E+00 V
- b) 1.466E+00 V
- c) 1.612E+00 V
- d) 1.774E+00 V
- e) 1.951E+00 V

_{1}=24.4 V, and ε

_{2}=6.73 V are oriented as shownin the circuit. The resistances are R

_{1}=5.7 kΩ and R

_{2}=1.95 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.36 mA and I

_{4}=0.418 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 5.418E+00 V
- b) 5.960E+00 V
- c) 6.556E+00 V
- d) 7.212E+00 V
- e) 7.933E+00 V

3) Three resistors, R_{1} = 1.31 Ω, and R_{2} = R_{2} = 2.91 Ω, are connected in parallel to a 6.03 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 2.294E+01 W
- b) 2.523E+01 W
- c) 2.776E+01 W
- d) 3.053E+01 W
- e) 3.359E+01 W

_{1}=26.2 V, and ε

_{2}=8.29 V are oriented as shownin the circuit. The resistances are R

_{1}=3.43 kΩ and R

_{2}=1.16 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.09 mA and I

_{4}=1.06 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 6.720E+00 V
- b) 7.392E+00 V
- c) 8.131E+00 V
- d) 8.944E+00 V
- e) 9.838E+00 V

### c10 R0[edit | edit source]

1) The resistances in the figure shown are R_{1}= 1.18 Ω, R

_{2}= 0.878 Ω, and R

_{2}= 2.11 Ω. V

_{1}and V

_{3}are text 0.637 V and 3.51 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.547 V. What is the absolute value of the current through R

_{1}?

- a) 1.701E-01 A
- b) 1.871E-01 A
- c) 2.058E-01 A
- d) 2.264E-01 A
- e) 2.490E-01 A

2) Three resistors, R_{1} = 0.686 Ω, and R_{2} = R_{2} = 1.58 Ω, are connected in parallel to a 8.97 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 1.173E+02 W
- b) 1.290E+02 W
- c) 1.419E+02 W
- d) 1.561E+02 W
- e) 1.717E+02 W

_{1}=46.1 V, and ε

_{2}=16.2 V are oriented as shownin the circuit. The resistances are R

_{1}=5.17 kΩ and R

_{2}=2.06 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.97 mA and I

_{4}=1.07 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 1.309E+01 V
- b) 1.440E+01 V
- c) 1.584E+01 V
- d) 1.742E+01 V
- e) 1.917E+01 V

4) A given battery has a 14 V emf and an internal resistance of 0.192 Ω. If it is connected to a 0.766 Ω resistor what is the power dissipated by that load?

- a) 1.229E+02 W
- b) 1.352E+02 W
- c) 1.487E+02 W
- d) 1.636E+02 W
- e) 1.799E+02 W

#### c10 R1[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.41 Ω, R

_{2}= 1.74 Ω, and R

_{2}= 3.35 Ω. V

_{1}and V

_{3}are text 0.508 V and 1.36 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.595 V. What is the absolute value of the current through R

_{1}?

- a) 1.203E-01 A
- b) 1.324E-01 A
- c) 1.456E-01 A
- d) 1.602E-01 A
- e) 1.762E-01 A

2) A given battery has a 13 V emf and an internal resistance of 0.161 Ω. If it is connected to a 0.814 Ω resistor what is the power dissipated by that load?

- a) 1.087E+02 W
- b) 1.196E+02 W
- c) 1.316E+02 W
- d) 1.447E+02 W
- e) 1.592E+02 W

3) Three resistors, R_{1} = 0.686 Ω, and R_{2} = R_{2} = 1.58 Ω, are connected in parallel to a 8.97 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 1.173E+02 W
- b) 1.290E+02 W
- c) 1.419E+02 W
- d) 1.561E+02 W
- e) 1.717E+02 W

_{1}=58.5 V, and ε

_{2}=17.3 V are oriented as shownin the circuit. The resistances are R

_{1}=3.06 kΩ and R

_{2}=1.88 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=5.25 mA and I

_{4}=1.25 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 1.981E+01 V
- b) 2.179E+01 V
- c) 2.397E+01 V
- d) 2.637E+01 V
- e) 2.901E+01 V

#### c10 R2[edit | edit source]

1) Two sources of emf ε_{1}=36.7 V, and ε

_{2}=12.1 V are oriented as shownin the circuit. The resistances are R

_{1}=2.52 kΩ and R

_{2}=1.22 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.14 mA and I

_{4}=1.19 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 7.805E+00 V
- b) 8.586E+00 V
- c) 9.444E+00 V
- d) 1.039E+01 V
- e) 1.143E+01 V

2) Three resistors, R_{1} = 1.82 Ω, and R_{2} = R_{2} = 4.14 Ω, are connected in parallel to a 5.65 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 1.754E+01 W
- b) 1.929E+01 W
- c) 2.122E+01 W
- d) 2.335E+01 W
- e) 2.568E+01 W

_{1}= 2.04 Ω, R

_{2}= 1.19 Ω, and R

_{2}= 2.5 Ω. V

_{1}and V

_{3}are text 0.507 V and 3.07 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.602 V. What is the absolute value of the current through R

_{1}?

- a) 1.401E-01 A
- b) 1.542E-01 A
- c) 1.696E-01 A
- d) 1.865E-01 A
- e) 2.052E-01 A

4) A given battery has a 12 V emf and an internal resistance of 0.0984 Ω. If it is connected to a 0.485 Ω resistor what is the power dissipated by that load?

- a) 2.052E+02 W
- b) 2.257E+02 W
- c) 2.483E+02 W
- d) 2.731E+02 W
- e) 3.004E+02 W

### c10 S0[edit | edit source]

1) Two sources of emf ε_{1}=39.2 V, and ε

_{2}=12.6 V are oriented as shownin the circuit. The resistances are R

_{1}=3.86 kΩ and R

_{2}=1.89 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.05 mA and I

_{4}=0.701 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 8.687E+00 V
- b) 9.555E+00 V
- c) 1.051E+01 V
- d) 1.156E+01 V
- e) 1.272E+01 V

2) Three resistors, R_{1} = 1.2 Ω, and R_{2} = R_{2} = 2.75 Ω, are connected in parallel to a 6.42 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 2.581E+01 W
- b) 2.839E+01 W
- c) 3.122E+01 W
- d) 3.435E+01 W
- e) 3.778E+01 W

_{1}=39.0 V, and ε

_{2}=15.9 V are oriented as shownin the circuit. The resistances are R

_{1}=3.4 kΩ and R

_{2}=2.12 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.58 mA and I

_{4}=0.978 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 2.150E+00 mA
- b) 2.365E+00 mA
- c) 2.602E+00 mA
- d) 2.862E+00 mA
- e) 3.148E+00 mA

4) A battery with a terminal voltage of 14.9 V is connected to a circuit consisting of 2 16.3 Ω resistors and one 9.8 Ω resistor. What is the voltage drop across the 9.8 Ω resistor?

- a) 2.352E+00 V
- b) 2.587E+00 V
- c) 2.846E+00 V
- d) 3.131E+00 V
- e) 3.444E+00 V

#### c10 S1[edit | edit source]

1) Two sources of emf ε_{1}=36.3 V, and ε

_{2}=12.9 V are oriented as shownin the circuit. The resistances are R

_{1}=4.28 kΩ and R

_{2}=1.58 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.16 mA and I

_{4}=1.2 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 2.224E+00 mA
- b) 2.446E+00 mA
- c) 2.691E+00 mA
- d) 2.960E+00 mA
- e) 3.256E+00 mA

2) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 3 20.9 Ω resistors and one 12.1 Ω resistor. What is the voltage drop across the 12.1 Ω resistor?

- a) 1.234E+00 V
- b) 1.358E+00 V
- c) 1.493E+00 V
- d) 1.643E+00 V
- e) 1.807E+00 V

_{1}=16.8 V, and ε

_{2}=7.15 V are oriented as shownin the circuit. The resistances are R

_{1}=3.12 kΩ and R

_{2}=1.51 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=1.95 mA and I

_{4}=0.603 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 4.108E+00 V
- b) 4.519E+00 V
- c) 4.970E+00 V
- d) 5.468E+00 V
- e) 6.014E+00 V

4) Three resistors, R_{1} = 0.87 Ω, and R_{2} = R_{2} = 2.0 Ω, are connected in parallel to a 8.57 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 6.977E+01 W
- b) 7.674E+01 W
- c) 8.442E+01 W
- d) 9.286E+01 W
- e) 1.021E+02 W

#### c10 S2[edit | edit source]

1) A battery with a terminal voltage of 8.72 V is connected to a circuit consisting of 2 15.8 Ω resistors and one 9.58 Ω resistor. What is the voltage drop across the 9.58 Ω resistor?

- a) 1.677E+00 V
- b) 1.844E+00 V
- c) 2.029E+00 V
- d) 2.231E+00 V
- e) 2.455E+00 V

_{1}=24.8 V, and ε

_{2}=10.3 V are oriented as shownin the circuit. The resistances are R

_{1}=2.19 kΩ and R

_{2}=1.6 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.49 mA and I

_{4}=0.83 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 1.660E+00 mA
- b) 1.826E+00 mA
- c) 2.009E+00 mA
- d) 2.209E+00 mA
- e) 2.430E+00 mA

_{1}=35.5 V, and ε

_{2}=12.3 V are oriented as shownin the circuit. The resistances are R

_{1}=4.49 kΩ and R

_{2}=1.53 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.63 mA and I

_{4}=0.972 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 1.093E+01 V
- b) 1.202E+01 V
- c) 1.322E+01 V
- d) 1.454E+01 V
- e) 1.600E+01 V

4) Three resistors, R_{1} = 1.43 Ω, and R_{2} = R_{2} = 3.25 Ω, are connected in parallel to a 9.03 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 5.184E+01 W
- b) 5.702E+01 W
- c) 6.272E+01 W
- d) 6.900E+01 W
- e) 7.590E+01 W

### c10 T0[edit | edit source]

1) In the circuit shown V=17.8 V, R_{1}=2.27 Ω, R

_{2}=6.79 Ω, and R

_{3}=15.1 Ω. What is the power dissipated by R

_{2}?

- a) 1.446E+01 W
- b) 1.591E+01 W
- c) 1.750E+01 W
- d) 1.925E+01 W
- e) 2.117E+01 W

2) A battery with a terminal voltage of 7.82 V is connected to a circuit consisting of 2 19.3 Ω resistors and one 12.2 Ω resistor. What is the voltage drop across the 12.2 Ω resistor?

- a) 1.552E+00 V
- b) 1.707E+00 V
- c) 1.878E+00 V
- d) 2.066E+00 V
- e) 2.272E+00 V

_{1}= 2.73 Ω, R

_{2}= 1.4 Ω, and R

_{2}= 2.35 Ω. V

_{1}and V

_{3}are text 0.549 V and 1.27 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.584 V. What is the absolute value of the current through R

_{1}?

- a) 1.213E-01 A
- b) 1.334E-01 A
- c) 1.468E-01 A
- d) 1.614E-01 A
- e) 1.776E-01 A

4) A given battery has a 14 V emf and an internal resistance of 0.192 Ω. If it is connected to a 0.766 Ω resistor what is the power dissipated by that load?

- a) 1.229E+02 W
- b) 1.352E+02 W
- c) 1.487E+02 W
- d) 1.636E+02 W
- e) 1.799E+02 W

#### c10 T1[edit | edit source]

1) A given battery has a 13 V emf and an internal resistance of 0.113 Ω. If it is connected to a 0.686 Ω resistor what is the power dissipated by that load?

- a) 1.501E+02 W
- b) 1.651E+02 W
- c) 1.816E+02 W
- d) 1.998E+02 W
- e) 2.197E+02 W

_{1}=1.6 Ω, R

_{2}=7.89 Ω, and R

_{3}=15.3 Ω. What is the power dissipated by R

_{2}?

- a) 1.713E+01 W
- b) 1.885E+01 W
- c) 2.073E+01 W
- d) 2.280E+01 W
- e) 2.508E+01 W

_{1}= 1.1 Ω, R

_{2}= 1.55 Ω, and R

_{2}= 2.11 Ω. V

_{1}and V

_{3}are text 0.545 V and 3.22 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.744 V. What is the absolute value of the current through R

_{1}?

- a) 1.886E-01 A
- b) 2.075E-01 A
- c) 2.282E-01 A
- d) 2.510E-01 A
- e) 2.761E-01 A

4) A battery with a terminal voltage of 13.2 V is connected to a circuit consisting of 3 15.7 Ω resistors and one 10.3 Ω resistor. What is the voltage drop across the 10.3 Ω resistor?

- a) 1.958E+00 V
- b) 2.153E+00 V
- c) 2.369E+00 V
- d) 2.606E+00 V
- e) 2.866E+00 V

#### c10 T2[edit | edit source]

1) In the circuit shown V=19.6 V, R_{1}=1.45 Ω, R

_{2}=7.85 Ω, and R

_{3}=15.8 Ω. What is the power dissipated by R

_{2}?

- a) 2.730E+01 W
- b) 3.003E+01 W
- c) 3.304E+01 W
- d) 3.634E+01 W
- e) 3.998E+01 W

_{1}= 1.57 Ω, R

_{2}= 1.25 Ω, and R

_{2}= 3.38 Ω. V

_{1}and V

_{3}are text 0.585 V and 2.91 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.55 V. What is the absolute value of the current through R

_{1}?

- a) 1.427E-01 A
- b) 1.569E-01 A
- c) 1.726E-01 A
- d) 1.899E-01 A
- e) 2.089E-01 A

3) A battery with a terminal voltage of 14.6 V is connected to a circuit consisting of 2 21.7 Ω resistors and one 14.4 Ω resistor. What is the voltage drop across the 14.4 Ω resistor?

- a) 3.637E+00 V
- b) 4.001E+00 V
- c) 4.401E+00 V
- d) 4.841E+00 V
- e) 5.325E+00 V

4) A given battery has a 11 V emf and an internal resistance of 0.0998 Ω. If it is connected to a 0.417 Ω resistor what is the power dissipated by that load?

- a) 1.419E+02 W
- b) 1.561E+02 W
- c) 1.717E+02 W
- d) 1.889E+02 W
- e) 2.078E+02 W

### c10 U0[edit | edit source]

1) Two sources of emf ε_{1}=14.3 V, and ε

_{2}=5.6 V are oriented as shownin the circuit. The resistances are R

_{1}=5.31 kΩ and R

_{2}=2.39 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=1.12 mA and I

_{4}=0.284 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 3.416E+00 V
- b) 3.757E+00 V
- c) 4.133E+00 V
- d) 4.546E+00 V
- e) 5.001E+00 V

- a) 5.401E+00 s
- b) 5.941E+00 s
- c) 6.535E+00 s
- d) 7.189E+00 s
- e) 7.908E+00 s

_{1}= 1.81 Ω, R

_{2}= 1.18 Ω, and R

_{2}= 2.62 Ω. V

_{1}and V

_{3}are text 0.628 V and 2.54 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.748 V. What is the absolute value of the current through R

_{1}?

- a) 1.552E-01 A
- b) 1.707E-01 A
- c) 1.878E-01 A
- d) 2.065E-01 A
- e) 2.272E-01 A

4) Three resistors, R_{1} = 0.61 Ω, and R_{2} = R_{2} = 1.35 Ω, are connected in parallel to a 7.04 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 7.386E+01 W
- b) 8.125E+01 W
- c) 8.937E+01 W
- d) 9.831E+01 W
- e) 1.081E+02 W

#### c10 U1[edit | edit source]

1) Three resistors, R_{1} = 1.25 Ω, and R_{2} = R_{2} = 2.82 Ω, are connected in parallel to a 8.6 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 4.890E+01 W
- b) 5.379E+01 W
- c) 5.917E+01 W
- d) 6.508E+01 W
- e) 7.159E+01 W

_{1}=18.6 V, and ε

_{2}=5.63 V are oriented as shownin the circuit. The resistances are R

_{1}=3.9 kΩ and R

_{2}=1.1 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.41 mA and I

_{4}=0.614 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 4.342E+00 V
- b) 4.776E+00 V
- c) 5.254E+00 V
- d) 5.779E+00 V
- e) 6.357E+00 V

- a) 1.905E+01 s
- b) 2.095E+01 s
- c) 2.304E+01 s
- d) 2.535E+01 s
- e) 2.788E+01 s

_{1}= 1.57 Ω, R

_{2}= 1.25 Ω, and R

_{2}= 3.38 Ω. V

_{1}and V

_{3}are text 0.585 V and 2.91 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.55 V. What is the absolute value of the current through R

_{1}?

- a) 1.427E-01 A
- b) 1.569E-01 A
- c) 1.726E-01 A
- d) 1.899E-01 A
- e) 2.089E-01 A

#### c10 U2[edit | edit source]

1) Two sources of emf ε_{1}=21.6 V, and ε

_{2}=8.59 V are oriented as shownin the circuit. The resistances are R

_{1}=4.97 kΩ and R

_{2}=1.69 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.2 mA and I

_{4}=0.749 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 6.064E+00 V
- b) 6.670E+00 V
- c) 7.337E+00 V
- d) 8.071E+00 V
- e) 8.878E+00 V

_{1}= 2.42 Ω, R

_{2}= 1.09 Ω, and R

_{2}= 3.89 Ω. V

_{1}and V

_{3}are text 0.677 V and 1.86 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.745 V. What is the absolute value of the current through R

_{1}?

- a) 2.089E-01 A
- b) 2.298E-01 A
- c) 2.528E-01 A
- d) 2.781E-01 A
- e) 3.059E-01 A

- a) 3.224E+01 s
- b) 3.547E+01 s
- c) 3.902E+01 s
- d) 4.292E+01 s
- e) 4.721E+01 s

4) Three resistors, R_{1} = 0.624 Ω, and R_{2} = R_{2} = 1.37 Ω, are connected in parallel to a 7.46 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 7.371E+01 W
- b) 8.108E+01 W
- c) 8.919E+01 W
- d) 9.810E+01 W
- e) 1.079E+02 W

### c10 V0[edit | edit source]

1) A given battery has a 11 V emf and an internal resistance of 0.0998 Ω. If it is connected to a 0.417 Ω resistor what is the power dissipated by that load?

- a) 1.419E+02 W
- b) 1.561E+02 W
- c) 1.717E+02 W
- d) 1.889E+02 W
- e) 2.078E+02 W

_{1}=2.77 Ω, R

_{2}=6.07 Ω, and R

_{3}=14.5 Ω. What is the power dissipated by R

_{2}?

- a) 1.190E+01 W
- b) 1.309E+01 W
- c) 1.440E+01 W
- d) 1.584E+01 W
- e) 1.742E+01 W

_{1}= 1.54 Ω, R

_{2}= 0.927 Ω, and R

_{2}= 2.46 Ω. V

_{1}and V

_{3}are text 0.632 V and 2.12 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.586 V. What is the absolute value of the current through R

_{1}?

- a) 1.770E-01 A
- b) 1.947E-01 A
- c) 2.141E-01 A
- d) 2.355E-01 A
- e) 2.591E-01 A

- a) 1.296E+01 s
- b) 1.425E+01 s
- c) 1.568E+01 s
- d) 1.725E+01 s
- e) 1.897E+01 s

#### c10 V1[edit | edit source]

1) A given battery has a 14 V emf and an internal resistance of 0.132 Ω. If it is connected to a 0.689 Ω resistor what is the power dissipated by that load?

- a) 1.656E+02 W
- b) 1.821E+02 W
- c) 2.003E+02 W
- d) 2.204E+02 W
- e) 2.424E+02 W

_{1}= 2.42 Ω, R

_{2}= 1.09 Ω, and R

_{2}= 3.89 Ω. V

_{1}and V

_{3}are text 0.677 V and 1.86 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.745 V. What is the absolute value of the current through R

_{1}?

- a) 2.089E-01 A
- b) 2.298E-01 A
- c) 2.528E-01 A
- d) 2.781E-01 A
- e) 3.059E-01 A

_{1}=2.27 Ω, R

_{2}=6.79 Ω, and R

_{3}=15.1 Ω. What is the power dissipated by R

_{2}?

- a) 1.446E+01 W
- b) 1.591E+01 W
- c) 1.750E+01 W
- d) 1.925E+01 W
- e) 2.117E+01 W

- a) 9.240E+00 s
- b) 1.016E+01 s
- c) 1.118E+01 s
- d) 1.230E+01 s
- e) 1.353E+01 s

#### c10 V2[edit | edit source]

1) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 543 V. If the combined external and internal resistance is 201 &Omega and the capacitance is 82 mF, how long will it take for the capacitor's voltage to reach 281.0 V?- a) 9.024E+00 s
- b) 9.927E+00 s
- c) 1.092E+01 s
- d) 1.201E+01 s
- e) 1.321E+01 s

_{1}=1.26 Ω, R

_{2}=5.65 Ω, and R

_{3}=14.8 Ω. What is the power dissipated by R

_{2}?

- a) 8.240E+00 W
- b) 9.064E+00 W
- c) 9.970E+00 W
- d) 1.097E+01 W
- e) 1.206E+01 W

3) A given battery has a 13 V emf and an internal resistance of 0.159 Ω. If it is connected to a 0.617 Ω resistor what is the power dissipated by that load?

- a) 1.301E+02 W
- b) 1.431E+02 W
- c) 1.574E+02 W
- d) 1.732E+02 W
- e) 1.905E+02 W

_{1}= 2.24 Ω, R

_{2}= 1.03 Ω, and R

_{2}= 2.39 Ω. V

_{1}and V

_{3}are text 0.595 V and 2.58 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.707 V. What is the absolute value of the current through R

_{1}?

- a) 1.834E-01 A
- b) 2.018E-01 A
- c) 2.220E-01 A
- d) 2.441E-01 A
- e) 2.686E-01 A

### c10 W0[edit | edit source]

1) Three resistors, R_{1} = 1.52 Ω, and R_{2} = R_{2} = 3.38 Ω, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 1.842E+01 W
- b) 2.026E+01 W
- c) 2.228E+01 W
- d) 2.451E+01 W
- e) 2.696E+01 W

2) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 2 20.3 Ω resistors and one 13.1 Ω resistor. What is the voltage drop across the 13.1 Ω resistor?

- a) 2.843E+00 V
- b) 3.127E+00 V
- c) 3.440E+00 V
- d) 3.784E+00 V
- e) 4.162E+00 V

_{1}=18.2 V, and ε

_{2}=6.59 V are oriented as shownin the circuit. The resistances are R

_{1}=5.47 kΩ and R

_{2}=2.81 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=1.64 mA and I

_{4}=0.341 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 1.299E+00 mA
- b) 1.429E+00 mA
- c) 1.572E+00 mA
- d) 1.729E+00 mA
- e) 1.902E+00 mA

_{1}= 2.74 Ω, R

_{2}= 1.63 Ω, and R

_{2}= 2.75 Ω. V

_{1}and V

_{3}are text 0.485 V and 2.01 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.555 V. What is the absolute value of the current through R

_{1}?

- a) 1.114E-01 A
- b) 1.225E-01 A
- c) 1.348E-01 A
- d) 1.483E-01 A
- e) 1.631E-01 A

#### c10 W1[edit | edit source]

1) A battery with a terminal voltage of 10.7 V is connected to a circuit consisting of 2 24.5 Ω resistors and one 15.2 Ω resistor. What is the voltage drop across the 15.2 Ω resistor?

- a) 1.730E+00 V
- b) 1.903E+00 V
- c) 2.094E+00 V
- d) 2.303E+00 V
- e) 2.533E+00 V

_{1}= 1.57 Ω, R

_{2}= 1.25 Ω, and R

_{2}= 3.38 Ω. V

_{1}and V

_{3}are text 0.585 V and 2.91 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.55 V. What is the absolute value of the current through R

_{1}?

- a) 1.427E-01 A
- b) 1.569E-01 A
- c) 1.726E-01 A
- d) 1.899E-01 A
- e) 2.089E-01 A

3) Three resistors, R_{1} = 1.25 Ω, and R_{2} = R_{2} = 2.82 Ω, are connected in parallel to a 8.6 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 4.890E+01 W
- b) 5.379E+01 W
- c) 5.917E+01 W
- d) 6.508E+01 W
- e) 7.159E+01 W

_{1}=24.9 V, and ε

_{2}=10.1 V are oriented as shownin the circuit. The resistances are R

_{1}=2.32 kΩ and R

_{2}=2.31 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.74 mA and I

_{4}=0.444 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 1.725E+00 mA
- b) 1.898E+00 mA
- c) 2.087E+00 mA
- d) 2.296E+00 mA
- e) 2.526E+00 mA

#### c10 W2[edit | edit source]

1) Three resistors, R_{1} = 0.672 Ω, and R_{2} = R_{2} = 1.52 Ω, are connected in parallel to a 5.34 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 2.898E+01 W
- b) 3.188E+01 W
- c) 3.507E+01 W
- d) 3.858E+01 W
- e) 4.243E+01 W

_{1}= 1.1 Ω, R

_{2}= 1.55 Ω, and R

_{2}= 2.11 Ω. V

_{1}and V

_{3}are text 0.545 V and 3.22 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.744 V. What is the absolute value of the current through R

_{1}?

- a) 1.886E-01 A
- b) 2.075E-01 A
- c) 2.282E-01 A
- d) 2.510E-01 A
- e) 2.761E-01 A

_{1}=29.3 V, and ε

_{2}=11.0 V are oriented as shownin the circuit. The resistances are R

_{1}=5.65 kΩ and R

_{2}=2.68 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.81 mA and I

_{4}=0.525 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 1.717E+00 mA
- b) 1.888E+00 mA
- c) 2.077E+00 mA
- d) 2.285E+00 mA
- e) 2.514E+00 mA

4) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 2 20.3 Ω resistors and one 13.1 Ω resistor. What is the voltage drop across the 13.1 Ω resistor?

- a) 2.843E+00 V
- b) 3.127E+00 V
- c) 3.440E+00 V
- d) 3.784E+00 V
- e) 4.162E+00 V

### c10 X0[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.34 Ω, R

_{2}= 1.34 Ω, and R

_{2}= 2.94 Ω. V

_{1}and V

_{3}are text 0.609 V and 1.68 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.541 V. What is the absolute value of the current through R

_{1}?

- a) 1.464E-01 A
- b) 1.610E-01 A
- c) 1.772E-01 A
- d) 1.949E-01 A
- e) 2.144E-01 A

_{1}=44.4 V, and ε

_{2}=16.8 V are oriented as shownin the circuit. The resistances are R

_{1}=4.58 kΩ and R

_{2}=1.2 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=8.43 mA and I

_{4}=1.46 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 6.970E+00 mA
- b) 7.667E+00 mA
- c) 8.434E+00 mA
- d) 9.277E+00 mA
- e) 1.020E+01 mA

3) Three resistors, R_{1} = 0.686 Ω, and R_{2} = R_{2} = 1.58 Ω, are connected in parallel to a 8.97 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 1.173E+02 W
- b) 1.290E+02 W
- c) 1.419E+02 W
- d) 1.561E+02 W
- e) 1.717E+02 W

_{1}=38.9 V, and ε

_{2}=14.4 V are oriented as shownin the circuit. The resistances are R

_{1}=4.33 kΩ and R

_{2}=1.65 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=5.59 mA and I

_{4}=1.07 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 9.142E+00 V
- b) 1.006E+01 V
- c) 1.106E+01 V
- d) 1.217E+01 V
- e) 1.338E+01 V

#### c10 X1[edit | edit source]

1) Three resistors, R_{1} = 1.82 Ω, and R_{2} = R_{2} = 4.14 Ω, are connected in parallel to a 5.65 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 1.754E+01 W
- b) 1.929E+01 W
- c) 2.122E+01 W
- d) 2.335E+01 W
- e) 2.568E+01 W

_{1}=29.5 V, and ε

_{2}=11.0 V are oriented as shownin the circuit. The resistances are R

_{1}=2.45 kΩ and R

_{2}=1.96 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.03 mA and I

_{4}=0.783 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 2.247E+00 mA
- b) 2.472E+00 mA
- c) 2.719E+00 mA
- d) 2.991E+00 mA
- e) 3.290E+00 mA

_{1}= 2.73 Ω, R

_{2}= 1.4 Ω, and R

_{2}= 2.35 Ω. V

_{1}and V

_{3}are text 0.549 V and 1.27 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.584 V. What is the absolute value of the current through R

_{1}?

- a) 1.213E-01 A
- b) 1.334E-01 A
- c) 1.468E-01 A
- d) 1.614E-01 A
- e) 1.776E-01 A

_{1}=27.1 V, and ε

_{2}=8.04 V are oriented as shownin the circuit. The resistances are R

_{1}=2.94 kΩ and R

_{2}=1.61 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.87 mA and I

_{4}=0.57 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 8.482E+00 V
- b) 9.330E+00 V
- c) 1.026E+01 V
- d) 1.129E+01 V
- e) 1.242E+01 V

#### c10 X2[edit | edit source]

1) Two sources of emf ε_{1}=49.6 V, and ε

_{2}=19.3 V are oriented as shownin the circuit. The resistances are R

_{1}=4.87 kΩ and R

_{2}=2.81 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.37 mA and I

_{4}=1.01 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 3.055E+00 mA
- b) 3.360E+00 mA
- c) 3.696E+00 mA
- d) 4.066E+00 mA
- e) 4.472E+00 mA

2) Three resistors, R_{1} = 1.23 Ω, and R_{2} = R_{2} = 2.73 Ω, are connected in parallel to a 5.41 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- a) 1.788E+01 W
- b) 1.967E+01 W
- c) 2.163E+01 W
- d) 2.380E+01 W
- e) 2.617E+01 W

_{1}=16.8 V, and ε

_{2}=7.15 V are oriented as shownin the circuit. The resistances are R

_{1}=3.12 kΩ and R

_{2}=1.51 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=1.95 mA and I

_{4}=0.603 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 4.108E+00 V
- b) 4.519E+00 V
- c) 4.970E+00 V
- d) 5.468E+00 V
- e) 6.014E+00 V

_{1}= 1.81 Ω, R

_{2}= 1.18 Ω, and R

_{2}= 2.62 Ω. V

_{1}and V

_{3}are text 0.628 V and 2.54 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.748 V. What is the absolute value of the current through R

_{1}?

- a) 1.552E-01 A
- b) 1.707E-01 A
- c) 1.878E-01 A
- d) 2.065E-01 A
- e) 2.272E-01 A

### c10 Y0[edit | edit source]

1) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 569 V. If the combined external and internal resistance is 137 &Omega and the capacitance is 76 mF, how long will it take for the capacitor's voltage to reach 419.0 V?- a) 1.043E+01 s
- b) 1.147E+01 s
- c) 1.262E+01 s
- d) 1.388E+01 s
- e) 1.527E+01 s

_{1}=2.66 Ω, R

_{2}=7.29 Ω, and R

_{3}=14.5 Ω. What is the power dissipated by R

_{2}?

- a) 7.123E+00 W
- b) 7.835E+00 W
- c) 8.618E+00 W
- d) 9.480E+00 W
- e) 1.043E+01 W

3) A battery with a terminal voltage of 8.01 V is connected to a circuit consisting of 3 22.1 Ω resistors and one 14.5 Ω resistor. What is the voltage drop across the 14.5 Ω resistor?

- a) 9.818E-01 V
- b) 1.080E+00 V
- c) 1.188E+00 V
- d) 1.307E+00 V
- e) 1.437E+00 V

_{1}=18.2 V, and ε

_{2}=6.59 V are oriented as shownin the circuit. The resistances are R

_{1}=5.47 kΩ and R

_{2}=2.81 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=1.64 mA and I

_{4}=0.341 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 1.299E+00 mA
- b) 1.429E+00 mA
- c) 1.572E+00 mA
- d) 1.729E+00 mA
- e) 1.902E+00 mA

#### c10 Y1[edit | edit source]

1) Two sources of emf ε_{1}=38.9 V, and ε

_{2}=15.7 V are oriented as shownin the circuit. The resistances are R

_{1}=2.24 kΩ and R

_{2}=2.23 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.01 mA and I

_{4}=0.86 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 1.955E+00 mA
- b) 2.150E+00 mA
- c) 2.365E+00 mA
- d) 2.601E+00 mA
- e) 2.862E+00 mA

- a) 9.718E+00 s
- b) 1.069E+01 s
- c) 1.176E+01 s
- d) 1.293E+01 s
- e) 1.423E+01 s

_{1}=1.86 Ω, R

_{2}=7.66 Ω, and R

_{3}=12.9 Ω. What is the power dissipated by R

_{2}?

- a) 1.157E+01 W
- b) 1.273E+01 W
- c) 1.400E+01 W
- d) 1.540E+01 W
- e) 1.694E+01 W

4) A battery with a terminal voltage of 8.14 V is connected to a circuit consisting of 2 21.5 Ω resistors and one 13.1 Ω resistor. What is the voltage drop across the 13.1 Ω resistor?

- a) 1.298E+00 V
- b) 1.428E+00 V
- c) 1.571E+00 V
- d) 1.728E+00 V
- e) 1.901E+00 V

#### c10 Y2[edit | edit source]

1) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 3 15.7 Ω resistors and one 10.2 Ω resistor. What is the voltage drop across the 10.2 Ω resistor?

- a) 2.074E+00 V
- b) 2.282E+00 V
- c) 2.510E+00 V
- d) 2.761E+00 V
- e) 3.037E+00 V

_{1}=39.0 V, and ε

_{2}=15.9 V are oriented as shownin the circuit. The resistances are R

_{1}=3.4 kΩ and R

_{2}=2.12 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.58 mA and I

_{4}=0.978 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 2.150E+00 mA
- b) 2.365E+00 mA
- c) 2.602E+00 mA
- d) 2.862E+00 mA
- e) 3.148E+00 mA

_{1}=1.6 Ω, R

_{2}=7.89 Ω, and R

_{3}=15.3 Ω. What is the power dissipated by R

_{2}?

- a) 1.713E+01 W
- b) 1.885E+01 W
- c) 2.073E+01 W
- d) 2.280E+01 W
- e) 2.508E+01 W

- a) 1.905E+01 s
- b) 2.095E+01 s
- c) 2.304E+01 s
- d) 2.535E+01 s
- e) 2.788E+01 s

### c10 Z0[edit | edit source]

1) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 319 V. If the combined external and internal resistance is 231 &Omega and the capacitance is 64 mF, how long will it take for the capacitor's voltage to reach 175.0 V?- a) 9.718E+00 s
- b) 1.069E+01 s
- c) 1.176E+01 s
- d) 1.293E+01 s
- e) 1.423E+01 s

_{1}= 1.81 Ω, R

_{2}= 1.18 Ω, and R

_{2}= 2.62 Ω. V

_{1}and V

_{3}are text 0.628 V and 2.54 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.748 V. What is the absolute value of the current through R

_{1}?

- a) 1.552E-01 A
- b) 1.707E-01 A
- c) 1.878E-01 A
- d) 2.065E-01 A
- e) 2.272E-01 A

_{1}=35.5 V, and ε

_{2}=12.3 V are oriented as shownin the circuit. The resistances are R

_{1}=4.49 kΩ and R

_{2}=1.53 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.63 mA and I

_{4}=0.972 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 1.093E+01 V
- b) 1.202E+01 V
- c) 1.322E+01 V
- d) 1.454E+01 V
- e) 1.600E+01 V

_{1}=36.7 V, and ε

_{2}=12.1 V are oriented as shownin the circuit. The resistances are R

_{1}=2.52 kΩ and R

_{2}=1.22 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.14 mA and I

_{4}=1.19 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 7.805E+00 V
- b) 8.586E+00 V
- c) 9.444E+00 V
- d) 1.039E+01 V
- e) 1.143E+01 V

#### c10 Z1[edit | edit source]

1) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 466 V. If the combined external and internal resistance is 123 &Omega and the capacitance is 76 mF, how long will it take for the capacitor's voltage to reach 331.0 V?- a) 9.571E+00 s
- b) 1.053E+01 s
- c) 1.158E+01 s
- d) 1.274E+01 s
- e) 1.401E+01 s

_{1}= 1.57 Ω, R

_{2}= 1.25 Ω, and R

_{2}= 3.38 Ω. V

_{1}and V

_{3}are text 0.585 V and 2.91 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.55 V. What is the absolute value of the current through R

_{1}?

- a) 1.427E-01 A
- b) 1.569E-01 A
- c) 1.726E-01 A
- d) 1.899E-01 A
- e) 2.089E-01 A

_{1}=57.0 V, and ε

_{2}=18.1 V are oriented as shownin the circuit. The resistances are R

_{1}=4.95 kΩ and R

_{2}=2.09 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.23 mA and I

_{4}=1.04 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 1.921E+01 V
- b) 2.114E+01 V
- c) 2.325E+01 V
- d) 2.557E+01 V
- e) 2.813E+01 V

_{1}=18.6 V, and ε

_{2}=5.63 V are oriented as shownin the circuit. The resistances are R

_{1}=3.9 kΩ and R

_{2}=1.1 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.41 mA and I

_{4}=0.614 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 4.342E+00 V
- b) 4.776E+00 V
- c) 5.254E+00 V
- d) 5.779E+00 V
- e) 6.357E+00 V

#### c10 Z2[edit | edit source]

1) Two sources of emf ε_{1}=54.9 V, and ε

_{2}=19.8 V are oriented as shownin the circuit. The resistances are R

_{1}=3.93 kΩ and R

_{2}=1.31 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=9.18 mA and I

_{4}=1.83 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 1.779E+01 V
- b) 1.957E+01 V
- c) 2.153E+01 V
- d) 2.368E+01 V
- e) 2.605E+01 V

_{1}=21.0 V, and ε

_{2}=8.72 V are oriented as shownin the circuit. The resistances are R

_{1}=3.12 kΩ and R

_{2}=1.15 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.41 mA and I

_{4}=0.816 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- a) 5.267E+00 V
- b) 5.794E+00 V
- c) 6.373E+00 V
- d) 7.011E+00 V
- e) 7.712E+00 V

- a) 1.385E+01 s
- b) 1.524E+01 s
- c) 1.676E+01 s
- d) 1.844E+01 s
- e) 2.028E+01 s

_{1}= 2.41 Ω, R

_{2}= 1.74 Ω, and R

_{2}= 3.35 Ω. V

_{1}and V

_{3}are text 0.508 V and 1.36 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.595 V. What is the absolute value of the current through R

_{1}?

- a) 1.203E-01 A
- b) 1.324E-01 A
- c) 1.456E-01 A
- d) 1.602E-01 A
- e) 1.762E-01 A

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### Key: A0[edit | edit source]

1) Two sources of emf ε_{1}=40.9 V, and ε

_{2}=16.1 V are oriented as shownin the circuit. The resistances are R

_{1}=5.55 kΩ and R

_{2}=1.55 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=6.11 mA and I

_{4}=1.06 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- -a) 8.754E+00 V
- -b) 9.630E+00 V
- -c) 1.059E+01 V
- -d) 1.165E+01 V
- +e) 1.282E+01 V

_{1}=1.6 Ω, R

_{2}=7.89 Ω, and R

_{3}=15.3 Ω. What is the power dissipated by R

_{2}?

- +a) 1.713E+01 W
- -b) 1.885E+01 W
- -c) 2.073E+01 W
- -d) 2.280E+01 W
- -e) 2.508E+01 W

_{1}= 1.6 Ω, R

_{2}= 1.3 Ω, and R

_{2}= 2.22 Ω. V

_{1}and V

_{3}are text 0.55 V and 3.18 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.743 V. What is the absolute value of the current through R

_{1}?

- +a) 1.721E-01 A
- -b) 1.893E-01 A
- -c) 2.082E-01 A
- -d) 2.291E-01 A
- -e) 2.520E-01 A

_{1}=43.0 V, and ε

_{2}=13.8 V are oriented as shownin the circuit. The resistances are R

_{1}=3.97 kΩ and R

_{2}=1.12 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=6.25 mA and I

_{4}=1.82 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- -a) 3.661E+00 mA
- -b) 4.027E+00 mA
- +c) 4.430E+00 mA
- -d) 4.873E+00 mA
- -e) 5.360E+00 mA

Click these links for the keys:

#### Key: A1[edit | edit source]

1) Two sources of emf ε_{1}=18.2 V, and ε

_{2}=6.59 V are oriented as shownin the circuit. The resistances are R

_{1}=5.47 kΩ and R

_{2}=2.81 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=1.64 mA and I

_{4}=0.341 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- +a) 1.299E+00 mA
- -b) 1.429E+00 mA
- -c) 1.572E+00 mA
- -d) 1.729E+00 mA
- -e) 1.902E+00 mA

_{1}= 1.33 Ω, R

_{2}= 1.72 Ω, and R

_{2}= 3.69 Ω. V

_{1}and V

_{3}are text 0.606 V and 3.31 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.608 V. What is the absolute value of the current through R

_{1}?

- -a) 1.137E-01 A
- -b) 1.251E-01 A
- -c) 1.376E-01 A
- +d) 1.514E-01 A
- -e) 1.665E-01 A

_{1}=2.84 Ω, R

_{2}=7.06 Ω, and R

_{3}=13.1 Ω. What is the power dissipated by R

_{2}?

- +a) 1.418E+01 W
- -b) 1.560E+01 W
- -c) 1.716E+01 W
- -d) 1.887E+01 W
- -e) 2.076E+01 W

_{1}=36.7 V, and ε

_{2}=13.6 V are oriented as shownin the circuit. The resistances are R

_{1}=2.86 kΩ and R

_{2}=2.2 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.02 mA and I

_{4}=0.854 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- +a) 1.380E+01 V
- -b) 1.518E+01 V
- -c) 1.670E+01 V
- -d) 1.837E+01 V
- -e) 2.020E+01 V

Click these links for the keys:

#### Key: A2[edit | edit source]

1) The resistances in the figure shown are R_{1}= 1.81 Ω, R

_{2}= 1.18 Ω, and R

_{2}= 2.62 Ω. V

_{1}and V

_{3}are text 0.628 V and 2.54 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.748 V. What is the absolute value of the current through R

_{1}?

- -a) 1.552E-01 A
- -b) 1.707E-01 A
- -c) 1.878E-01 A
- -d) 2.065E-01 A
- +e) 2.272E-01 A

_{1}=40.7 V, and ε

_{2}=12.3 V are oriented as shownin the circuit. The resistances are R

_{1}=3.5 kΩ and R

_{2}=1.94 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.42 mA and I

_{4}=0.932 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- +a) 1.440E+01 V
- -b) 1.584E+01 V
- -c) 1.742E+01 V
- -d) 1.916E+01 V
- -e) 2.108E+01 V

_{1}=24.8 V, and ε

_{2}=10.3 V are oriented as shownin the circuit. The resistances are R

_{1}=2.19 kΩ and R

_{2}=1.6 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.49 mA and I

_{4}=0.83 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- +a) 1.660E+00 mA
- -b) 1.826E+00 mA
- -c) 2.009E+00 mA
- -d) 2.209E+00 mA
- -e) 2.430E+00 mA

_{1}=2.77 Ω, R

_{2}=6.07 Ω, and R

_{3}=14.5 Ω. What is the power dissipated by R

_{2}?

- -a) 1.190E+01 W
- -b) 1.309E+01 W
- +c) 1.440E+01 W
- -d) 1.584E+01 W
- -e) 1.742E+01 W

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### Key: B0[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.73 Ω, R

_{2}= 1.4 Ω, and R

_{2}= 2.35 Ω. V

_{1}and V

_{3}are text 0.549 V and 1.27 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.584 V. What is the absolute value of the current through R

_{1}?

- -a) 1.213E-01 A
- -b) 1.334E-01 A
- -c) 1.468E-01 A
- +d) 1.614E-01 A
- -e) 1.776E-01 A

_{1}=1.64 Ω, R

_{2}=6.56 Ω, and R

_{3}=12.8 Ω. What is the power dissipated by R

_{2}?

- -a) 2.470E+01 W
- +b) 2.717E+01 W
- -c) 2.989E+01 W
- -d) 3.288E+01 W
- -e) 3.617E+01 W

_{1}=46.1 V, and ε

_{2}=16.2 V are oriented as shownin the circuit. The resistances are R

_{1}=5.17 kΩ and R

_{2}=2.06 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.97 mA and I

_{4}=1.07 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- -a) 1.309E+01 V
- -b) 1.440E+01 V
- +c) 1.584E+01 V
- -d) 1.742E+01 V
- -e) 1.917E+01 V

4) A given battery has a 12 V emf and an internal resistance of 0.107 Ω. If it is connected to a 0.814 Ω resistor what is the power dissipated by that load?

- +a) 1.382E+02 W
- -b) 1.520E+02 W
- -c) 1.672E+02 W
- -d) 1.839E+02 W
- -e) 2.023E+02 W

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#### Key: B1[edit | edit source]

1) The resistances in the figure shown are R_{1}= 1.6 Ω, R

_{2}= 1.3 Ω, and R

_{2}= 2.22 Ω. V

_{1}and V

_{3}are text 0.55 V and 3.18 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.743 V. What is the absolute value of the current through R

_{1}?

- +a) 1.721E-01 A
- -b) 1.893E-01 A
- -c) 2.082E-01 A
- -d) 2.291E-01 A
- -e) 2.520E-01 A

2) A given battery has a 11 V emf and an internal resistance of 0.0998 Ω. If it is connected to a 0.417 Ω resistor what is the power dissipated by that load?

- -a) 1.419E+02 W
- -b) 1.561E+02 W
- -c) 1.717E+02 W
- +d) 1.889E+02 W
- -e) 2.078E+02 W

_{1}=27.9 V, and ε

_{2}=11.1 V are oriented as shownin the circuit. The resistances are R

_{1}=2.82 kΩ and R

_{2}=2.25 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.1 mA and I

_{4}=0.676 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- -a) 8.334E+00 V
- -b) 9.167E+00 V
- +c) 1.008E+01 V
- -d) 1.109E+01 V
- -e) 1.220E+01 V

_{1}=1.86 Ω, R

_{2}=7.66 Ω, and R

_{3}=12.9 Ω. What is the power dissipated by R

_{2}?

- -a) 1.157E+01 W
- -b) 1.273E+01 W
- -c) 1.400E+01 W
- -d) 1.540E+01 W
- +e) 1.694E+01 W

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#### Key: B2[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.73 Ω, R

_{2}= 1.4 Ω, and R

_{2}= 2.35 Ω. V

_{1}and V

_{3}are text 0.549 V and 1.27 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.584 V. What is the absolute value of the current through R

_{1}?

- -a) 1.213E-01 A
- -b) 1.334E-01 A
- -c) 1.468E-01 A
- +d) 1.614E-01 A
- -e) 1.776E-01 A

_{1}=1.68 Ω, R

_{2}=7.52 Ω, and R

_{3}=12.8 Ω. What is the power dissipated by R

_{2}?

- -a) 7.827E+00 W
- +b) 8.610E+00 W
- -c) 9.470E+00 W
- -d) 1.042E+01 W
- -e) 1.146E+01 W

3) A given battery has a 15 V emf and an internal resistance of 0.113 Ω. If it is connected to a 0.645 Ω resistor what is the power dissipated by that load?

- -a) 1.898E+02 W
- -b) 2.087E+02 W
- -c) 2.296E+02 W
- +d) 2.526E+02 W
- -e) 2.778E+02 W

_{1}=27.9 V, and ε

_{2}=11.1 V are oriented as shownin the circuit. The resistances are R

_{1}=2.82 kΩ and R

_{2}=2.25 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.1 mA and I

_{4}=0.676 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- -a) 8.334E+00 V
- -b) 9.167E+00 V
- +c) 1.008E+01 V
- -d) 1.109E+01 V
- -e) 1.220E+01 V

Click these links for the keys:

### Key: C0[edit | edit source]

1) Three resistors, R_{1} = 0.672 Ω, and R_{2} = R_{2} = 1.52 Ω, are connected in parallel to a 5.34 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- -a) 2.898E+01 W
- -b) 3.188E+01 W
- -c) 3.507E+01 W
- -d) 3.858E+01 W
- +e) 4.243E+01 W

_{1}=49.8 V, and ε

_{2}=18.1 V are oriented as shownin the circuit. The resistances are R

_{1}=2.78 kΩ and R

_{2}=2.63 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.51 mA and I

_{4}=0.969 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 7.886E+00 V
- -b) 8.675E+00 V
- -c) 9.542E+00 V
- -d) 1.050E+01 V
- +e) 1.155E+01 V

3) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 3 20.9 Ω resistors and one 12.1 Ω resistor. What is the voltage drop across the 12.1 Ω resistor?

- +a) 1.234E+00 V
- -b) 1.358E+00 V
- -c) 1.493E+00 V
- -d) 1.643E+00 V
- -e) 1.807E+00 V

_{1}=13.6 V, and ε

_{2}=6.53 V are oriented as shownin the circuit. The resistances are R

_{1}=2.89 kΩ and R

_{2}=2.12 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=1.11 mA and I

_{4}=0.311 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- -a) 7.264E-01 mA
- +b) 7.990E-01 mA
- -c) 8.789E-01 mA
- -d) 9.668E-01 mA
- -e) 1.063E+00 mA

Click these links for the keys:

#### Key: C1[edit | edit source]

1) Two sources of emf ε_{1}=29.5 V, and ε

_{2}=11.0 V are oriented as shownin the circuit. The resistances are R

_{1}=2.45 kΩ and R

_{2}=1.96 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.03 mA and I

_{4}=0.783 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- +a) 2.247E+00 mA
- -b) 2.472E+00 mA
- -c) 2.719E+00 mA
- -d) 2.991E+00 mA
- -e) 3.290E+00 mA

2) Three resistors, R_{1} = 1.43 Ω, and R_{2} = R_{2} = 3.25 Ω, are connected in parallel to a 9.03 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- -a) 5.184E+01 W
- +b) 5.702E+01 W
- -c) 6.272E+01 W
- -d) 6.900E+01 W
- -e) 7.590E+01 W

_{1}=35.5 V, and ε

_{2}=12.3 V are oriented as shownin the circuit. The resistances are R

_{1}=4.49 kΩ and R

_{2}=1.53 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.63 mA and I

_{4}=0.972 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 1.093E+01 V
- +b) 1.202E+01 V
- -c) 1.322E+01 V
- -d) 1.454E+01 V
- -e) 1.600E+01 V

4) A battery with a terminal voltage of 8.72 V is connected to a circuit consisting of 2 15.8 Ω resistors and one 9.58 Ω resistor. What is the voltage drop across the 9.58 Ω resistor?

- -a) 1.677E+00 V
- -b) 1.844E+00 V
- +c) 2.029E+00 V
- -d) 2.231E+00 V
- -e) 2.455E+00 V

Click these links for the keys:

#### Key: C2[edit | edit source]

1) Two sources of emf ε_{1}=29.5 V, and ε

_{2}=11.0 V are oriented as shownin the circuit. The resistances are R

_{1}=2.45 kΩ and R

_{2}=1.96 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.03 mA and I

_{4}=0.783 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- +a) 2.247E+00 mA
- -b) 2.472E+00 mA
- -c) 2.719E+00 mA
- -d) 2.991E+00 mA
- -e) 3.290E+00 mA

_{1}=49.8 V, and ε

_{2}=18.1 V are oriented as shownin the circuit. The resistances are R

_{1}=2.78 kΩ and R

_{2}=2.63 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.51 mA and I

_{4}=0.969 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 7.886E+00 V
- -b) 8.675E+00 V
- -c) 9.542E+00 V
- -d) 1.050E+01 V
- +e) 1.155E+01 V

3) Three resistors, R_{1} = 0.548 Ω, and R_{2} = R_{2} = 1.24 Ω, are connected in parallel to a 7.16 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- -a) 7.029E+01 W
- -b) 7.731E+01 W
- -c) 8.505E+01 W
- +d) 9.355E+01 W
- -e) 1.029E+02 W

4) A battery with a terminal voltage of 9.88 V is connected to a circuit consisting of 3 15.9 Ω resistors and one 10.8 Ω resistor. What is the voltage drop across the 10.8 Ω resistor?

- -a) 1.370E+00 V
- -b) 1.507E+00 V
- -c) 1.658E+00 V
- +d) 1.824E+00 V
- -e) 2.006E+00 V

Click these links for the keys:

### Key: D0[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.04 Ω, R

_{2}= 1.19 Ω, and R

_{2}= 2.5 Ω. V

_{1}and V

_{3}are text 0.507 V and 3.07 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.602 V. What is the absolute value of the current through R

_{1}?

- +a) 1.401E-01 A
- -b) 1.542E-01 A
- -c) 1.696E-01 A
- -d) 1.865E-01 A
- -e) 2.052E-01 A

2) A battery with a terminal voltage of 10.6 V is connected to a circuit consisting of 2 21.1 Ω resistors and one 12.8 Ω resistor. What is the voltage drop across the 12.8 Ω resistor?

- +a) 2.467E+00 V
- -b) 2.714E+00 V
- -c) 2.985E+00 V
- -d) 3.283E+00 V
- -e) 3.612E+00 V

_{1}=16.8 V, and ε

_{2}=6.85 V are oriented as shownin the circuit. The resistances are R

_{1}=4.43 kΩ and R

_{2}=1.24 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.68 mA and I

_{4}=0.758 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 3.890E+00 V
- -b) 4.279E+00 V
- -c) 4.707E+00 V
- +d) 5.178E+00 V
- -e) 5.695E+00 V

4) A given battery has a 15 V emf and an internal resistance of 0.177 Ω. If it is connected to a 0.824 Ω resistor what is the power dissipated by that load?

- -a) 1.682E+02 W
- +b) 1.850E+02 W
- -c) 2.035E+02 W
- -d) 2.239E+02 W
- -e) 2.463E+02 W

Click these links for the keys:

#### Key: D1[edit | edit source]

1) The resistances in the figure shown are R_{1}= 1.81 Ω, R

_{2}= 1.18 Ω, and R

_{2}= 2.62 Ω. V

_{1}and V

_{3}are text 0.628 V and 2.54 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.748 V. What is the absolute value of the current through R

_{1}?

- -a) 1.552E-01 A
- -b) 1.707E-01 A
- -c) 1.878E-01 A
- -d) 2.065E-01 A
- +e) 2.272E-01 A

_{1}=26.2 V, and ε

_{2}=11.5 V are oriented as shownin the circuit. The resistances are R

_{1}=2.13 kΩ and R

_{2}=1.72 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.11 mA and I

_{4}=0.746 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 4.275E+00 V
- -b) 4.703E+00 V
- +c) 5.173E+00 V
- -d) 5.691E+00 V
- -e) 6.260E+00 V

3) A given battery has a 14 V emf and an internal resistance of 0.0842 Ω. If it is connected to a 0.835 Ω resistor what is the power dissipated by that load?

- -a) 1.455E+02 W
- -b) 1.601E+02 W
- -c) 1.761E+02 W
- +d) 1.937E+02 W
- -e) 2.131E+02 W

4) A battery with a terminal voltage of 14.9 V is connected to a circuit consisting of 2 16.3 Ω resistors and one 9.8 Ω resistor. What is the voltage drop across the 9.8 Ω resistor?

- -a) 2.352E+00 V
- -b) 2.587E+00 V
- -c) 2.846E+00 V
- -d) 3.131E+00 V
- +e) 3.444E+00 V

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#### Key: D2[edit | edit source]

1) A battery with a terminal voltage of 10.6 V is connected to a circuit consisting of 2 21.1 Ω resistors and one 12.8 Ω resistor. What is the voltage drop across the 12.8 Ω resistor?

- +a) 2.467E+00 V
- -b) 2.714E+00 V
- -c) 2.985E+00 V
- -d) 3.283E+00 V
- -e) 3.612E+00 V

_{1}= 1.1 Ω, R

_{2}= 1.55 Ω, and R

_{2}= 2.11 Ω. V

_{1}and V

_{3}are text 0.545 V and 3.22 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.744 V. What is the absolute value of the current through R

_{1}?

- -a) 1.886E-01 A
- +b) 2.075E-01 A
- -c) 2.282E-01 A
- -d) 2.510E-01 A
- -e) 2.761E-01 A

_{1}=16.8 V, and ε

_{2}=7.15 V are oriented as shownin the circuit. The resistances are R

_{1}=3.12 kΩ and R

_{2}=1.51 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=1.95 mA and I

_{4}=0.603 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 4.108E+00 V
- +b) 4.519E+00 V
- -c) 4.970E+00 V
- -d) 5.468E+00 V
- -e) 6.014E+00 V

- -a) 1.229E+02 W
- -b) 1.352E+02 W
- -c) 1.487E+02 W
- +d) 1.636E+02 W
- -e) 1.799E+02 W

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### Key: E0[edit | edit source]

1) In the circuit shown V=18.4 V, R_{1}=1.64 Ω, R

_{2}=6.56 Ω, and R

_{3}=12.8 Ω. What is the power dissipated by R

_{2}?

- -a) 2.470E+01 W
- +b) 2.717E+01 W
- -c) 2.989E+01 W
- -d) 3.288E+01 W
- -e) 3.617E+01 W

_{1}=42.2 V, and ε

_{2}=17.8 V are oriented as shownin the circuit. The resistances are R

_{1}=4.2 kΩ and R

_{2}=2.83 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.5 mA and I

_{4}=0.749 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- -a) 1.056E+01 V
- -b) 1.161E+01 V
- -c) 1.277E+01 V
- +d) 1.405E+01 V
- -e) 1.545E+01 V

3) A given battery has a 14 V emf and an internal resistance of 0.132 Ω. If it is connected to a 0.689 Ω resistor what is the power dissipated by that load?

- -a) 1.656E+02 W
- -b) 1.821E+02 W
- +c) 2.003E+02 W
- -d) 2.204E+02 W
- -e) 2.424E+02 W

- -a) 5.401E+00 s
- -b) 5.941E+00 s
- -c) 6.535E+00 s
- -d) 7.189E+00 s
- +e) 7.908E+00 s

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#### Key: E1[edit | edit source]

1) A given battery has a 14 V emf and an internal resistance of 0.0842 Ω. If it is connected to a 0.835 Ω resistor what is the power dissipated by that load?

- -a) 1.455E+02 W
- -b) 1.601E+02 W
- -c) 1.761E+02 W
- +d) 1.937E+02 W
- -e) 2.131E+02 W

- -a) 1.385E+01 s
- +b) 1.524E+01 s
- -c) 1.676E+01 s
- -d) 1.844E+01 s
- -e) 2.028E+01 s

_{1}=1.18 Ω, R

_{2}=5.28 Ω, and R

_{3}=14.8 Ω. What is the power dissipated by R

_{2}?

- -a) 2.172E+01 W
- -b) 2.389E+01 W
- -c) 2.628E+01 W
- +d) 2.891E+01 W
- -e) 3.180E+01 W

_{1}=36.7 V, and ε

_{2}=13.6 V are oriented as shownin the circuit. The resistances are R

_{1}=2.86 kΩ and R

_{2}=2.2 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.02 mA and I

_{4}=0.854 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- +a) 1.380E+01 V
- -b) 1.518E+01 V
- -c) 1.670E+01 V
- -d) 1.837E+01 V
- -e) 2.020E+01 V

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#### Key: E2[edit | edit source]

1) A given battery has a 15 V emf and an internal resistance of 0.162 Ω. If it is connected to a 0.561 Ω resistor what is the power dissipated by that load?

- -a) 1.814E+02 W
- -b) 1.996E+02 W
- -c) 2.195E+02 W
- +d) 2.415E+02 W
- -e) 2.656E+02 W

_{1}=36.7 V, and ε

_{2}=13.6 V are oriented as shownin the circuit. The resistances are R

_{1}=2.86 kΩ and R

_{2}=2.2 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.02 mA and I

_{4}=0.854 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- +a) 1.380E+01 V
- -b) 1.518E+01 V
- -c) 1.670E+01 V
- -d) 1.837E+01 V
- -e) 2.020E+01 V

- -a) 1.218E+01 s
- -b) 1.339E+01 s
- -c) 1.473E+01 s
- +d) 1.621E+01 s
- -e) 1.783E+01 s

_{1}=2.27 Ω, R

_{2}=6.79 Ω, and R

_{3}=15.1 Ω. What is the power dissipated by R

_{2}?

- -a) 1.446E+01 W
- -b) 1.591E+01 W
- -c) 1.750E+01 W
- -d) 1.925E+01 W
- +e) 2.117E+01 W

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### Key: F0[edit | edit source]

1) Two sources of emf ε_{1}=38.9 V, and ε

_{2}=15.7 V are oriented as shownin the circuit. The resistances are R

_{1}=2.24 kΩ and R

_{2}=2.23 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.01 mA and I

_{4}=0.86 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- -a) 1.955E+00 mA
- +b) 2.150E+00 mA
- -c) 2.365E+00 mA
- -d) 2.601E+00 mA
- -e) 2.862E+00 mA

_{1}=2.66 Ω, R

_{2}=7.29 Ω, and R

_{3}=14.5 Ω. What is the power dissipated by R

_{2}?

- -a) 7.123E+00 W
- -b) 7.835E+00 W
- -c) 8.618E+00 W
- -d) 9.480E+00 W
- +e) 1.043E+01 W

_{1}= 1.1 Ω, R

_{2}= 1.55 Ω, and R

_{2}= 2.11 Ω. V

_{1}and V

_{3}are text 0.545 V and 3.22 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.744 V. What is the absolute value of the current through R

_{1}?

- -a) 1.886E-01 A
- +b) 2.075E-01 A
- -c) 2.282E-01 A
- -d) 2.510E-01 A
- -e) 2.761E-01 A

4) A battery with a terminal voltage of 13.2 V is connected to a circuit consisting of 3 15.7 Ω resistors and one 10.3 Ω resistor. What is the voltage drop across the 10.3 Ω resistor?

- -a) 1.958E+00 V
- -b) 2.153E+00 V
- +c) 2.369E+00 V
- -d) 2.606E+00 V
- -e) 2.866E+00 V

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#### Key: F1[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.04 Ω, R

_{2}= 1.19 Ω, and R

_{2}= 2.5 Ω. V

_{1}and V

_{3}are text 0.507 V and 3.07 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.602 V. What is the absolute value of the current through R

_{1}?

- +a) 1.401E-01 A
- -b) 1.542E-01 A
- -c) 1.696E-01 A
- -d) 1.865E-01 A
- -e) 2.052E-01 A

_{1}=39.0 V, and ε

_{2}=15.9 V are oriented as shownin the circuit. The resistances are R

_{1}=3.4 kΩ and R

_{2}=2.12 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.58 mA and I

_{4}=0.978 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- -a) 2.150E+00 mA
- -b) 2.365E+00 mA
- +c) 2.602E+00 mA
- -d) 2.862E+00 mA
- -e) 3.148E+00 mA

- +a) 1.234E+00 V
- -b) 1.358E+00 V
- -c) 1.493E+00 V
- -d) 1.643E+00 V
- -e) 1.807E+00 V

_{1}=1.18 Ω, R

_{2}=5.28 Ω, and R

_{3}=14.8 Ω. What is the power dissipated by R

_{2}?

- -a) 2.172E+01 W
- -b) 2.389E+01 W
- -c) 2.628E+01 W
- +d) 2.891E+01 W
- -e) 3.180E+01 W

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#### Key: F2[edit | edit source]

1) The resistances in the figure shown are R_{1}= 1.81 Ω, R

_{2}= 1.18 Ω, and R

_{2}= 2.62 Ω. V

_{1}and V

_{3}are text 0.628 V and 2.54 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.748 V. What is the absolute value of the current through R

_{1}?

- -a) 1.552E-01 A
- -b) 1.707E-01 A
- -c) 1.878E-01 A
- -d) 2.065E-01 A
- +e) 2.272E-01 A

_{1}=49.6 V, and ε

_{2}=19.3 V are oriented as shownin the circuit. The resistances are R

_{1}=4.87 kΩ and R

_{2}=2.81 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.37 mA and I

_{4}=1.01 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- -a) 3.055E+00 mA
- +b) 3.360E+00 mA
- -c) 3.696E+00 mA
- -d) 4.066E+00 mA
- -e) 4.472E+00 mA

3) A battery with a terminal voltage of 8.66 V is connected to a circuit consisting of 3 19.6 Ω resistors and one 10.6 Ω resistor. What is the voltage drop across the 10.6 Ω resistor?

- -a) 1.202E+00 V
- +b) 1.323E+00 V
- -c) 1.455E+00 V
- -d) 1.600E+00 V
- -e) 1.761E+00 V

_{1}=1.68 Ω, R

_{2}=7.84 Ω, and R

_{3}=12.3 Ω. What is the power dissipated by R

_{2}?

- +a) 2.240E+01 W
- -b) 2.464E+01 W
- -c) 2.710E+01 W
- -d) 2.981E+01 W
- -e) 3.279E+01 W

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### Key: G0[edit | edit source]

1) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 130 V. If the combined external and internal resistance is 109 &Omega and the capacitance is 59 mF, how long will it take for the capacitor's voltage to reach 69.9 V?- -a) 3.728E+00 s
- -b) 4.101E+00 s
- -c) 4.511E+00 s
- +d) 4.962E+00 s
- -e) 5.458E+00 s

_{1}=57.0 V, and ε

_{2}=18.1 V are oriented as shownin the circuit. The resistances are R

_{1}=4.95 kΩ and R

_{2}=2.09 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.23 mA and I

_{4}=1.04 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 1.921E+01 V
- +b) 2.114E+01 V
- -c) 2.325E+01 V
- -d) 2.557E+01 V
- -e) 2.813E+01 V

_{1}= 2.49 Ω, R

_{2}= 1.72 Ω, and R

_{2}= 3.58 Ω. V

_{1}and V

_{3}are text 0.417 V and 1.83 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.53 V. What is the absolute value of the current through R

_{1}?

- -a) 8.220E-02 A
- -b) 9.042E-02 A
- -c) 9.946E-02 A
- +d) 1.094E-01 A
- -e) 1.203E-01 A

4) A given battery has a 10 V emf and an internal resistance of 0.119 Ω. If it is connected to a 0.445 Ω resistor what is the power dissipated by that load?

- -a) 1.272E+02 W
- +b) 1.399E+02 W
- -c) 1.539E+02 W
- -d) 1.693E+02 W
- -e) 1.862E+02 W

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#### Key: G1[edit | edit source]

1) A given battery has a 11 V emf and an internal resistance of 0.0998 Ω. If it is connected to a 0.417 Ω resistor what is the power dissipated by that load?

- -a) 1.419E+02 W
- -b) 1.561E+02 W
- -c) 1.717E+02 W
- +d) 1.889E+02 W
- -e) 2.078E+02 W

_{1}=30.6 V, and ε

_{2}=12.0 V are oriented as shownin the circuit. The resistances are R

_{1}=3.46 kΩ and R

_{2}=2.77 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=1.97 mA and I

_{4}=0.643 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 4.986E+00 V
- -b) 5.484E+00 V
- -c) 6.033E+00 V
- -d) 6.636E+00 V
- +e) 7.299E+00 V

_{1}= 2.38 Ω, R

_{2}= 1.87 Ω, and R

_{2}= 2.32 Ω. V

_{1}and V

_{3}are text 0.605 V and 3.8 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.67 V. What is the absolute value of the current through R

_{1}?

- -a) 8.147E-02 A
- -b) 8.962E-02 A
- -c) 9.858E-02 A
- +d) 1.084E-01 A
- -e) 1.193E-01 A

- -a) 1.385E+01 s
- +b) 1.524E+01 s
- -c) 1.676E+01 s
- -d) 1.844E+01 s
- -e) 2.028E+01 s

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#### Key: G2[edit | edit source]

1) The resistances in the figure shown are R_{1}= 1.54 Ω, R

_{2}= 0.927 Ω, and R

_{2}= 2.46 Ω. V

_{1}and V

_{3}are text 0.632 V and 2.12 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.586 V. What is the absolute value of the current through R

_{1}?

- -a) 1.770E-01 A
- -b) 1.947E-01 A
- +c) 2.141E-01 A
- -d) 2.355E-01 A
- -e) 2.591E-01 A

- +a) 1.905E+01 s
- -b) 2.095E+01 s
- -c) 2.304E+01 s
- -d) 2.535E+01 s
- -e) 2.788E+01 s

_{1}=26.2 V, and ε

_{2}=11.5 V are oriented as shownin the circuit. The resistances are R

_{1}=2.13 kΩ and R

_{2}=1.72 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.11 mA and I

_{4}=0.746 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 4.275E+00 V
- -b) 4.703E+00 V
- +c) 5.173E+00 V
- -d) 5.691E+00 V
- -e) 6.260E+00 V

4) A given battery has a 14 V emf and an internal resistance of 0.0842 Ω. If it is connected to a 0.835 Ω resistor what is the power dissipated by that load?

- -a) 1.455E+02 W
- -b) 1.601E+02 W
- -c) 1.761E+02 W
- +d) 1.937E+02 W
- -e) 2.131E+02 W

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### Key: H0[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.34 Ω, R

_{2}= 1.34 Ω, and R

_{2}= 2.94 Ω. V

_{1}and V

_{3}are text 0.609 V and 1.68 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.541 V. What is the absolute value of the current through R

_{1}?

- -a) 1.464E-01 A
- +b) 1.610E-01 A
- -c) 1.772E-01 A
- -d) 1.949E-01 A
- -e) 2.144E-01 A

2) Three resistors, R_{1} = 1.39 Ω, and R_{2} = R_{2} = 3.06 Ω, are connected in parallel to a 6.21 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- -a) 2.293E+01 W
- -b) 2.522E+01 W
- +c) 2.774E+01 W
- -d) 3.052E+01 W
- -e) 3.357E+01 W

_{1}=38.9 V, and ε

_{2}=16.9 V are oriented as shownin the circuit. The resistances are R

_{1}=3.3 kΩ and R

_{2}=2.51 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.34 mA and I

_{4}=0.955 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 7.031E+00 V
- +b) 7.734E+00 V
- -c) 8.507E+00 V
- -d) 9.358E+00 V
- -e) 1.029E+01 V

4) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 2 15.9 Ω resistors and one 10.4 Ω resistor. What is the voltage drop across the 10.4 Ω resistor?

- -a) 1.709E+00 V
- +b) 1.880E+00 V
- -c) 2.068E+00 V
- -d) 2.275E+00 V
- -e) 2.503E+00 V

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#### Key: H1[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.24 Ω, R

_{2}= 1.03 Ω, and R

_{2}= 2.39 Ω. V

_{1}and V

_{3}are text 0.595 V and 2.58 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.707 V. What is the absolute value of the current through R

_{1}?

- -a) 1.834E-01 A
- +b) 2.018E-01 A
- -c) 2.220E-01 A
- -d) 2.441E-01 A
- -e) 2.686E-01 A

_{1}=38.8 V, and ε

_{2}=14.9 V are oriented as shownin the circuit. The resistances are R

_{1}=5.83 kΩ and R

_{2}=1.77 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.57 mA and I

_{4}=1.19 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 1.013E+01 V
- -b) 1.115E+01 V
- -c) 1.226E+01 V
- +d) 1.349E+01 V
- -e) 1.484E+01 V

3) Three resistors, R_{1} = 1.39 Ω, and R_{2} = R_{2} = 3.06 Ω, are connected in parallel to a 6.21 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- -a) 2.293E+01 W
- -b) 2.522E+01 W
- +c) 2.774E+01 W
- -d) 3.052E+01 W
- -e) 3.357E+01 W

- -a) 1.370E+00 V
- -b) 1.507E+00 V
- -c) 1.658E+00 V
- +d) 1.824E+00 V
- -e) 2.006E+00 V

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#### Key: H2[edit | edit source]

1) Two sources of emf ε_{1}=57.0 V, and ε

_{2}=18.1 V are oriented as shownin the circuit. The resistances are R

_{1}=4.95 kΩ and R

_{2}=2.09 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.23 mA and I

_{4}=1.04 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 1.921E+01 V
- +b) 2.114E+01 V
- -c) 2.325E+01 V
- -d) 2.557E+01 V
- -e) 2.813E+01 V

_{1}= 2.67 Ω, R

_{2}= 1.78 Ω, and R

_{2}= 3.63 Ω. V

_{1}and V

_{3}are text 0.448 V and 2.29 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.656 V. What is the absolute value of the current through R

_{1}?

- -a) 9.287E-02 A
- -b) 1.022E-01 A
- -c) 1.124E-01 A
- +d) 1.236E-01 A
- -e) 1.360E-01 A

3) Three resistors, R_{1} = 1.41 Ω, and R_{2} = R_{2} = 3.17 Ω, are connected in parallel to a 5.89 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- -a) 1.681E+01 W
- -b) 1.849E+01 W
- -c) 2.033E+01 W
- -d) 2.237E+01 W
- +e) 2.460E+01 W

- -a) 1.709E+00 V
- +b) 1.880E+00 V
- -c) 2.068E+00 V
- -d) 2.275E+00 V
- -e) 2.503E+00 V

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### Key: I0[edit | edit source]

1) Two sources of emf ε_{1}=16.8 V, and ε

_{2}=7.15 V are oriented as shownin the circuit. The resistances are R

_{1}=3.12 kΩ and R

_{2}=1.51 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=1.95 mA and I

_{4}=0.603 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 4.108E+00 V
- +b) 4.519E+00 V
- -c) 4.970E+00 V
- -d) 5.468E+00 V
- -e) 6.014E+00 V

- -a) 9.718E+00 s
- -b) 1.069E+01 s
- +c) 1.176E+01 s
- -d) 1.293E+01 s
- -e) 1.423E+01 s

3) A battery with a terminal voltage of 10.6 V is connected to a circuit consisting of 2 21.1 Ω resistors and one 12.8 Ω resistor. What is the voltage drop across the 12.8 Ω resistor?

- +a) 2.467E+00 V
- -b) 2.714E+00 V
- -c) 2.985E+00 V
- -d) 3.283E+00 V
- -e) 3.612E+00 V

_{1}=39.4 V, and ε

_{2}=12.2 V are oriented as shownin the circuit. The resistances are R

_{1}=3.84 kΩ and R

_{2}=2.01 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.71 mA and I

_{4}=0.669 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- -a) 8.825E+00 V
- -b) 9.708E+00 V
- -c) 1.068E+01 V
- -d) 1.175E+01 V
- +e) 1.292E+01 V

Click these links for the keys:

#### Key: I1[edit | edit source]

1) Two sources of emf ε_{1}=21.0 V, and ε

_{2}=8.72 V are oriented as shownin the circuit. The resistances are R

_{1}=3.12 kΩ and R

_{2}=1.15 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.41 mA and I

_{4}=0.816 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- +a) 5.267E+00 V
- -b) 5.794E+00 V
- -c) 6.373E+00 V
- -d) 7.011E+00 V
- -e) 7.712E+00 V

2) A battery with a terminal voltage of 12.4 V is connected to a circuit consisting of 3 21.6 Ω resistors and one 12.1 Ω resistor. What is the voltage drop across the 12.1 Ω resistor?

- -a) 1.333E+00 V
- -b) 1.466E+00 V
- -c) 1.612E+00 V
- -d) 1.774E+00 V
- +e) 1.951E+00 V

_{1}=58.5 V, and ε

_{2}=17.3 V are oriented as shownin the circuit. The resistances are R

_{1}=3.06 kΩ and R

_{2}=1.88 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=5.25 mA and I

_{4}=1.25 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- -a) 1.981E+01 V
- +b) 2.179E+01 V
- -c) 2.397E+01 V
- -d) 2.637E+01 V
- -e) 2.901E+01 V

- -a) 5.401E+00 s
- -b) 5.941E+00 s
- -c) 6.535E+00 s
- -d) 7.189E+00 s
- +e) 7.908E+00 s

Click these links for the keys:

#### Key: I2[edit | edit source]

1) Two sources of emf ε_{1}=21.0 V, and ε

_{2}=8.72 V are oriented as shownin the circuit. The resistances are R

_{1}=3.12 kΩ and R

_{2}=1.15 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.41 mA and I

_{4}=0.816 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- +a) 5.267E+00 V
- -b) 5.794E+00 V
- -c) 6.373E+00 V
- -d) 7.011E+00 V
- -e) 7.712E+00 V

- +a) 2.467E+00 V
- -b) 2.714E+00 V
- -c) 2.985E+00 V
- -d) 3.283E+00 V
- -e) 3.612E+00 V

- +a) 1.905E+01 s
- -b) 2.095E+01 s
- -c) 2.304E+01 s
- -d) 2.535E+01 s
- -e) 2.788E+01 s

_{1}=42.2 V, and ε

_{2}=17.8 V are oriented as shownin the circuit. The resistances are R

_{1}=4.2 kΩ and R

_{2}=2.83 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.5 mA and I

_{4}=0.749 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- -a) 1.056E+01 V
- -b) 1.161E+01 V
- -c) 1.277E+01 V
- +d) 1.405E+01 V
- -e) 1.545E+01 V

Click these links for the keys:

### Key: J0[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.38 Ω, R

_{2}= 1.87 Ω, and R

_{2}= 2.32 Ω. V

_{1}and V

_{3}are text 0.605 V and 3.8 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.67 V. What is the absolute value of the current through R

_{1}?

- -a) 8.147E-02 A
- -b) 8.962E-02 A
- -c) 9.858E-02 A
- +d) 1.084E-01 A
- -e) 1.193E-01 A

2) Three resistors, R_{1} = 0.61 Ω, and R_{2} = R_{2} = 1.35 Ω, are connected in parallel to a 7.04 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- -a) 7.386E+01 W
- +b) 8.125E+01 W
- -c) 8.937E+01 W
- -d) 9.831E+01 W
- -e) 1.081E+02 W

3) A battery with a terminal voltage of 9.88 V is connected to a circuit consisting of 3 15.9 Ω resistors and one 10.8 Ω resistor. What is the voltage drop across the 10.8 Ω resistor?

- -a) 1.370E+00 V
- -b) 1.507E+00 V
- -c) 1.658E+00 V
- +d) 1.824E+00 V
- -e) 2.006E+00 V

- +a) 1.905E+01 s
- -b) 2.095E+01 s
- -c) 2.304E+01 s
- -d) 2.535E+01 s
- -e) 2.788E+01 s

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#### Key: J1[edit | edit source]

1) Three resistors, R_{1} = 0.87 Ω, and R_{2} = R_{2} = 2.0 Ω, are connected in parallel to a 8.57 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- -a) 6.977E+01 W
- -b) 7.674E+01 W
- +c) 8.442E+01 W
- -d) 9.286E+01 W
- -e) 1.021E+02 W

_{1}= 2.41 Ω, R

_{2}= 1.74 Ω, and R

_{2}= 3.35 Ω. V

_{1}and V

_{3}are text 0.508 V and 1.36 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.595 V. What is the absolute value of the current through R

_{1}?

- -a) 1.203E-01 A
- -b) 1.324E-01 A
- +c) 1.456E-01 A
- -d) 1.602E-01 A
- -e) 1.762E-01 A

3) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 2 20.3 Ω resistors and one 13.1 Ω resistor. What is the voltage drop across the 13.1 Ω resistor?

- -a) 2.843E+00 V
- -b) 3.127E+00 V
- +c) 3.440E+00 V
- -d) 3.784E+00 V
- -e) 4.162E+00 V

- -a) 1.296E+01 s
- -b) 1.425E+01 s
- +c) 1.568E+01 s
- -d) 1.725E+01 s
- -e) 1.897E+01 s

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#### Key: J2[edit | edit source]

1) The resistances in the figure shown are R_{1}= 1.18 Ω, R

_{2}= 0.878 Ω, and R

_{2}= 2.11 Ω. V

_{1}and V

_{3}are text 0.637 V and 3.51 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.547 V. What is the absolute value of the current through R

_{1}?

- -a) 1.701E-01 A
- +b) 1.871E-01 A
- -c) 2.058E-01 A
- -d) 2.264E-01 A
- -e) 2.490E-01 A

2) Three resistors, R_{1} = 1.25 Ω, and R_{2} = R_{2} = 2.82 Ω, are connected in parallel to a 8.6 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- -a) 4.890E+01 W
- -b) 5.379E+01 W
- +c) 5.917E+01 W
- -d) 6.508E+01 W
- -e) 7.159E+01 W

- -a) 1.202E+00 V
- +b) 1.323E+00 V
- -c) 1.455E+00 V
- -d) 1.600E+00 V
- -e) 1.761E+00 V

- -a) 3.728E+00 s
- -b) 4.101E+00 s
- -c) 4.511E+00 s
- +d) 4.962E+00 s
- -e) 5.458E+00 s

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### Key: K0[edit | edit source]

1) In the circuit shown V=10.9 V, R_{1}=1.68 Ω, R

_{2}=7.52 Ω, and R

_{3}=12.8 Ω. What is the power dissipated by R

_{2}?

- -a) 7.827E+00 W
- +b) 8.610E+00 W
- -c) 9.470E+00 W
- -d) 1.042E+01 W
- -e) 1.146E+01 W

_{1}=24.4 V, and ε

_{2}=6.73 V are oriented as shownin the circuit. The resistances are R

_{1}=5.7 kΩ and R

_{2}=1.95 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.36 mA and I

_{4}=0.418 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- -a) 5.418E+00 V
- -b) 5.960E+00 V
- -c) 6.556E+00 V
- -d) 7.212E+00 V
- +e) 7.933E+00 V

_{1}= 2.24 Ω, R

_{2}= 1.03 Ω, and R

_{2}= 2.39 Ω. V

_{1}and V

_{3}are text 0.595 V and 2.58 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.707 V. What is the absolute value of the current through R

_{1}?

- -a) 1.834E-01 A
- +b) 2.018E-01 A
- -c) 2.220E-01 A
- -d) 2.441E-01 A
- -e) 2.686E-01 A

_{1}=21.0 V, and ε

_{2}=8.72 V are oriented as shownin the circuit. The resistances are R

_{1}=3.12 kΩ and R

_{2}=1.15 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.41 mA and I

_{4}=0.816 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- +a) 5.267E+00 V
- -b) 5.794E+00 V
- -c) 6.373E+00 V
- -d) 7.011E+00 V
- -e) 7.712E+00 V

Click these links for the keys:

#### Key: K1[edit | edit source]

1) Two sources of emf ε_{1}=54.9 V, and ε

_{2}=19.8 V are oriented as shownin the circuit. The resistances are R

_{1}=3.93 kΩ and R

_{2}=1.31 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=9.18 mA and I

_{4}=1.83 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- +a) 1.779E+01 V
- -b) 1.957E+01 V
- -c) 2.153E+01 V
- -d) 2.368E+01 V
- -e) 2.605E+01 V

_{1}=2.84 Ω, R

_{2}=7.06 Ω, and R

_{3}=13.1 Ω. What is the power dissipated by R

_{2}?

- +a) 1.418E+01 W
- -b) 1.560E+01 W
- -c) 1.716E+01 W
- -d) 1.887E+01 W
- -e) 2.076E+01 W

_{1}= 1.1 Ω, R

_{2}= 1.55 Ω, and R

_{2}= 2.11 Ω. V

_{1}and V

_{3}are text 0.545 V and 3.22 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.744 V. What is the absolute value of the current through R

_{1}?

- -a) 1.886E-01 A
- +b) 2.075E-01 A
- -c) 2.282E-01 A
- -d) 2.510E-01 A
- -e) 2.761E-01 A

_{1}=38.9 V, and ε

_{2}=14.4 V are oriented as shownin the circuit. The resistances are R

_{1}=4.33 kΩ and R

_{2}=1.65 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=5.59 mA and I

_{4}=1.07 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 9.142E+00 V
- -b) 1.006E+01 V
- +c) 1.106E+01 V
- -d) 1.217E+01 V
- -e) 1.338E+01 V

Click these links for the keys:

#### Key: K2[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.41 Ω, R

_{2}= 1.74 Ω, and R

_{2}= 3.35 Ω. V

_{1}and V

_{3}are text 0.508 V and 1.36 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.595 V. What is the absolute value of the current through R

_{1}?

- -a) 1.203E-01 A
- -b) 1.324E-01 A
- +c) 1.456E-01 A
- -d) 1.602E-01 A
- -e) 1.762E-01 A

_{1}=2.66 Ω, R

_{2}=7.29 Ω, and R

_{3}=14.5 Ω. What is the power dissipated by R

_{2}?

- -a) 7.123E+00 W
- -b) 7.835E+00 W
- -c) 8.618E+00 W
- -d) 9.480E+00 W
- +e) 1.043E+01 W

_{1}=16.8 V, and ε

_{2}=6.85 V are oriented as shownin the circuit. The resistances are R

_{1}=4.43 kΩ and R

_{2}=1.24 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.68 mA and I

_{4}=0.758 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 3.890E+00 V
- -b) 4.279E+00 V
- -c) 4.707E+00 V
- +d) 5.178E+00 V
- -e) 5.695E+00 V

_{1}=54.9 V, and ε

_{2}=19.8 V are oriented as shownin the circuit. The resistances are R

_{1}=3.93 kΩ and R

_{2}=1.31 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=9.18 mA and I

_{4}=1.83 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- +a) 1.779E+01 V
- -b) 1.957E+01 V
- -c) 2.153E+01 V
- -d) 2.368E+01 V
- -e) 2.605E+01 V

Click these links for the keys:

### Key: L0[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.38 Ω, R

_{2}= 1.87 Ω, and R

_{2}= 2.32 Ω. V

_{1}and V

_{3}are text 0.605 V and 3.8 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.67 V. What is the absolute value of the current through R

_{1}?

- -a) 8.147E-02 A
- -b) 8.962E-02 A
- -c) 9.858E-02 A
- +d) 1.084E-01 A
- -e) 1.193E-01 A

_{1}=2.55 Ω, R

_{2}=5.12 Ω, and R

_{3}=12.7 Ω. What is the power dissipated by R

_{2}?

- -a) 1.096E+01 W
- -b) 1.206E+01 W
- -c) 1.326E+01 W
- -d) 1.459E+01 W
- +e) 1.605E+01 W

- -a) 9.718E+00 s
- -b) 1.069E+01 s
- +c) 1.176E+01 s
- -d) 1.293E+01 s
- -e) 1.423E+01 s

4) A battery with a terminal voltage of 7.82 V is connected to a circuit consisting of 2 19.3 Ω resistors and one 12.2 Ω resistor. What is the voltage drop across the 12.2 Ω resistor?

- -a) 1.552E+00 V
- -b) 1.707E+00 V
- +c) 1.878E+00 V
- -d) 2.066E+00 V
- -e) 2.272E+00 V

Click these links for the keys:

#### Key: L1[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.42 Ω, R

_{2}= 1.09 Ω, and R

_{2}= 3.89 Ω. V

_{1}and V

_{3}are text 0.677 V and 1.86 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.745 V. What is the absolute value of the current through R

_{1}?

- -a) 2.089E-01 A
- -b) 2.298E-01 A
- +c) 2.528E-01 A
- -d) 2.781E-01 A
- -e) 3.059E-01 A

2) A battery with a terminal voltage of 8.41 V is connected to a circuit consisting of 3 16.1 Ω resistors and one 10.9 Ω resistor. What is the voltage drop across the 10.9 Ω resistor?

- -a) 1.058E+00 V
- -b) 1.163E+00 V
- -c) 1.280E+00 V
- -d) 1.408E+00 V
- +e) 1.548E+00 V

_{1}=1.45 Ω, R

_{2}=7.85 Ω, and R

_{3}=15.8 Ω. What is the power dissipated by R

_{2}?

- -a) 2.730E+01 W
- +b) 3.003E+01 W
- -c) 3.304E+01 W
- -d) 3.634E+01 W
- -e) 3.998E+01 W

- -a) 2.177E+01 s
- +b) 2.394E+01 s
- -c) 2.634E+01 s
- -d) 2.897E+01 s
- -e) 3.187E+01 s

Click these links for the keys:

#### Key: L2[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.04 Ω, R

_{2}= 1.19 Ω, and R

_{2}= 2.5 Ω. V

_{1}and V

_{3}are text 0.507 V and 3.07 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.602 V. What is the absolute value of the current through R

_{1}?

- +a) 1.401E-01 A
- -b) 1.542E-01 A
- -c) 1.696E-01 A
- -d) 1.865E-01 A
- -e) 2.052E-01 A

- -a) 7.688E+00 s
- -b) 8.457E+00 s
- -c) 9.303E+00 s
- +d) 1.023E+01 s
- -e) 1.126E+01 s

3) A battery with a terminal voltage of 8.14 V is connected to a circuit consisting of 2 21.5 Ω resistors and one 13.1 Ω resistor. What is the voltage drop across the 13.1 Ω resistor?

- -a) 1.298E+00 V
- -b) 1.428E+00 V
- -c) 1.571E+00 V
- -d) 1.728E+00 V
- +e) 1.901E+00 V

_{1}=2.66 Ω, R

_{2}=7.29 Ω, and R

_{3}=14.5 Ω. What is the power dissipated by R

_{2}?

- -a) 7.123E+00 W
- -b) 7.835E+00 W
- -c) 8.618E+00 W
- -d) 9.480E+00 W
- +e) 1.043E+01 W

Click these links for the keys:

### Key: M0[edit | edit source]

1) A battery with a terminal voltage of 7.82 V is connected to a circuit consisting of 2 19.3 Ω resistors and one 12.2 Ω resistor. What is the voltage drop across the 12.2 Ω resistor?

- -a) 1.552E+00 V
- -b) 1.707E+00 V
- +c) 1.878E+00 V
- -d) 2.066E+00 V
- -e) 2.272E+00 V

_{1}= 1.81 Ω, R

_{2}= 1.18 Ω, and R

_{2}= 2.62 Ω. V

_{1}and V

_{3}are text 0.628 V and 2.54 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.748 V. What is the absolute value of the current through R

_{1}?

- -a) 1.552E-01 A
- -b) 1.707E-01 A
- -c) 1.878E-01 A
- -d) 2.065E-01 A
- +e) 2.272E-01 A

_{1}=2.34 Ω, R

_{2}=7.1 Ω, and R

_{3}=15.3 Ω. What is the power dissipated by R

_{2}?

- -a) 1.784E+01 W
- +b) 1.963E+01 W
- -c) 2.159E+01 W
- -d) 2.375E+01 W
- -e) 2.612E+01 W

_{1}=18.6 V, and ε

_{2}=5.63 V are oriented as shownin the circuit. The resistances are R

_{1}=3.9 kΩ and R

_{2}=1.1 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.41 mA and I

_{4}=0.614 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- -a) 4.342E+00 V
- -b) 4.776E+00 V
- -c) 5.254E+00 V
- +d) 5.779E+00 V
- -e) 6.357E+00 V

Click these links for the keys:

#### Key: M1[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.54 Ω, R

_{2}= 1.15 Ω, and R

_{2}= 2.9 Ω. V

_{1}and V

_{3}are text 0.446 V and 3.39 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.744 V. What is the absolute value of the current through R

_{1}?

- +a) 1.285E-01 A
- -b) 1.414E-01 A
- -c) 1.555E-01 A
- -d) 1.711E-01 A
- -e) 1.882E-01 A

2) A battery with a terminal voltage of 14.9 V is connected to a circuit consisting of 2 16.3 Ω resistors and one 9.8 Ω resistor. What is the voltage drop across the 9.8 Ω resistor?

- -a) 2.352E+00 V
- -b) 2.587E+00 V
- -c) 2.846E+00 V
- -d) 3.131E+00 V
- +e) 3.444E+00 V

_{1}=40.9 V, and ε

_{2}=16.1 V are oriented as shownin the circuit. The resistances are R

_{1}=5.55 kΩ and R

_{2}=1.55 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=6.11 mA and I

_{4}=1.06 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- -a) 8.754E+00 V
- -b) 9.630E+00 V
- -c) 1.059E+01 V
- -d) 1.165E+01 V
- +e) 1.282E+01 V

_{1}=2.75 Ω, R

_{2}=7.19 Ω, and R

_{3}=14.6 Ω. What is the power dissipated by R

_{2}?

- +a) 7.982E+00 W
- -b) 8.780E+00 W
- -c) 9.658E+00 W
- -d) 1.062E+01 W
- -e) 1.169E+01 W

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#### Key: M2[edit | edit source]

1) A battery with a terminal voltage of 14.9 V is connected to a circuit consisting of 2 16.3 Ω resistors and one 9.8 Ω resistor. What is the voltage drop across the 9.8 Ω resistor?

- -a) 2.352E+00 V
- -b) 2.587E+00 V
- -c) 2.846E+00 V
- -d) 3.131E+00 V
- +e) 3.444E+00 V

_{1}=27.9 V, and ε

_{2}=11.1 V are oriented as shownin the circuit. The resistances are R

_{1}=2.82 kΩ and R

_{2}=2.25 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.1 mA and I

_{4}=0.676 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- -a) 8.334E+00 V
- -b) 9.167E+00 V
- +c) 1.008E+01 V
- -d) 1.109E+01 V
- -e) 1.220E+01 V

_{1}= 2.67 Ω, R

_{2}= 1.78 Ω, and R

_{2}= 3.63 Ω. V

_{1}and V

_{3}are text 0.448 V and 2.29 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.656 V. What is the absolute value of the current through R

_{1}?

- -a) 9.287E-02 A
- -b) 1.022E-01 A
- -c) 1.124E-01 A
- +d) 1.236E-01 A
- -e) 1.360E-01 A

_{1}=2.59 Ω, R

_{2}=5.47 Ω, and R

_{3}=15.8 Ω. What is the power dissipated by R

_{2}?

- -a) 2.191E+01 W
- +b) 2.410E+01 W
- -c) 2.651E+01 W
- -d) 2.916E+01 W
- -e) 3.208E+01 W

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### Key: N0[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.41 Ω, R

_{2}= 1.74 Ω, and R

_{2}= 3.35 Ω. V

_{1}and V

_{3}are text 0.508 V and 1.36 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.595 V. What is the absolute value of the current through R

_{1}?

- -a) 1.203E-01 A
- -b) 1.324E-01 A
- +c) 1.456E-01 A
- -d) 1.602E-01 A
- -e) 1.762E-01 A

2) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 3 15.7 Ω resistors and one 10.2 Ω resistor. What is the voltage drop across the 10.2 Ω resistor?

- -a) 2.074E+00 V
- -b) 2.282E+00 V
- +c) 2.510E+00 V
- -d) 2.761E+00 V
- -e) 3.037E+00 V

- -a) 1.385E+01 s
- +b) 1.524E+01 s
- -c) 1.676E+01 s
- -d) 1.844E+01 s
- -e) 2.028E+01 s

_{1}=43.0 V, and ε

_{2}=13.8 V are oriented as shownin the circuit. The resistances are R

_{1}=3.97 kΩ and R

_{2}=1.12 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=6.25 mA and I

_{4}=1.82 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- -a) 3.661E+00 mA
- -b) 4.027E+00 mA
- +c) 4.430E+00 mA
- -d) 4.873E+00 mA
- -e) 5.360E+00 mA

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#### Key: N1[edit | edit source]

1) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 129 V. If the combined external and internal resistance is 169 &Omega and the capacitance is 76 mF, how long will it take for the capacitor's voltage to reach 109.0 V?- -a) 2.177E+01 s
- +b) 2.394E+01 s
- -c) 2.634E+01 s
- -d) 2.897E+01 s
- -e) 3.187E+01 s

_{1}=43.7 V, and ε

_{2}=13.1 V are oriented as shownin the circuit. The resistances are R

_{1}=5.21 kΩ and R

_{2}=1.72 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.86 mA and I

_{4}=0.9 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- -a) 2.691E+00 mA
- +b) 2.960E+00 mA
- -c) 3.256E+00 mA
- -d) 3.582E+00 mA
- -e) 3.940E+00 mA

3) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 2 15.9 Ω resistors and one 10.4 Ω resistor. What is the voltage drop across the 10.4 Ω resistor?

- -a) 1.709E+00 V
- +b) 1.880E+00 V
- -c) 2.068E+00 V
- -d) 2.275E+00 V
- -e) 2.503E+00 V

_{1}= 2.42 Ω, R

_{2}= 1.09 Ω, and R

_{2}= 3.89 Ω. V

_{1}and V

_{3}are text 0.677 V and 1.86 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.745 V. What is the absolute value of the current through R

_{1}?

- -a) 2.089E-01 A
- -b) 2.298E-01 A
- +c) 2.528E-01 A
- -d) 2.781E-01 A
- -e) 3.059E-01 A

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#### Key: N2[edit | edit source]

1) A battery with a terminal voltage of 8.66 V is connected to a circuit consisting of 3 19.6 Ω resistors and one 10.6 Ω resistor. What is the voltage drop across the 10.6 Ω resistor?

- -a) 1.202E+00 V
- +b) 1.323E+00 V
- -c) 1.455E+00 V
- -d) 1.600E+00 V
- -e) 1.761E+00 V

_{1}= 1.81 Ω, R

_{2}= 1.18 Ω, and R

_{2}= 2.62 Ω. V

_{1}and V

_{3}are text 0.628 V and 2.54 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.748 V. What is the absolute value of the current through R

_{1}?

- -a) 1.552E-01 A
- -b) 1.707E-01 A
- -c) 1.878E-01 A
- -d) 2.065E-01 A
- +e) 2.272E-01 A

- -a) 1.296E+01 s
- -b) 1.425E+01 s
- +c) 1.568E+01 s
- -d) 1.725E+01 s
- -e) 1.897E+01 s

_{1}=36.3 V, and ε

_{2}=12.9 V are oriented as shownin the circuit. The resistances are R

_{1}=4.28 kΩ and R

_{2}=1.58 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.16 mA and I

_{4}=1.2 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- -a) 2.224E+00 mA
- -b) 2.446E+00 mA
- -c) 2.691E+00 mA
- +d) 2.960E+00 mA
- -e) 3.256E+00 mA

Click these links for the keys:

### Key: O0[edit | edit source]

1) Two sources of emf ε_{1}=39.4 V, and ε

_{2}=12.2 V are oriented as shownin the circuit. The resistances are R

_{1}=3.84 kΩ and R

_{2}=2.01 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.71 mA and I

_{4}=0.669 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- -a) 8.825E+00 V
- -b) 9.708E+00 V
- -c) 1.068E+01 V
- -d) 1.175E+01 V
- +e) 1.292E+01 V

2) Three resistors, R_{1} = 1.74 Ω, and R_{2} = R_{2} = 3.92 Ω, are connected in parallel to a 8.5 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- -a) 2.836E+01 W
- -b) 3.120E+01 W
- -c) 3.432E+01 W
- -d) 3.775E+01 W
- +e) 4.152E+01 W

_{1}=44.4 V, and ε

_{2}=16.8 V are oriented as shownin the circuit. The resistances are R

_{1}=4.58 kΩ and R

_{2}=1.2 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=8.43 mA and I

_{4}=1.46 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- +a) 6.970E+00 mA
- -b) 7.667E+00 mA
- -c) 8.434E+00 mA
- -d) 9.277E+00 mA
- -e) 1.020E+01 mA

_{1}= 2.73 Ω, R

_{2}= 1.4 Ω, and R

_{2}= 2.35 Ω. V

_{1}and V

_{3}are text 0.549 V and 1.27 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.584 V. What is the absolute value of the current through R

_{1}?

- -a) 1.213E-01 A
- -b) 1.334E-01 A
- -c) 1.468E-01 A
- +d) 1.614E-01 A
- -e) 1.776E-01 A

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#### Key: O1[edit | edit source]

1) Two sources of emf ε_{1}=29.5 V, and ε

_{2}=11.0 V are oriented as shownin the circuit. The resistances are R

_{1}=2.45 kΩ and R

_{2}=1.96 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.03 mA and I

_{4}=0.783 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- +a) 2.247E+00 mA
- -b) 2.472E+00 mA
- -c) 2.719E+00 mA
- -d) 2.991E+00 mA
- -e) 3.290E+00 mA

_{1}=39.4 V, and ε

_{2}=12.2 V are oriented as shownin the circuit. The resistances are R

_{1}=3.84 kΩ and R

_{2}=2.01 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.71 mA and I

_{4}=0.669 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- -a) 8.825E+00 V
- -b) 9.708E+00 V
- -c) 1.068E+01 V
- -d) 1.175E+01 V
- +e) 1.292E+01 V

_{1}= 1.1 Ω, R

_{2}= 1.55 Ω, and R

_{2}= 2.11 Ω. V

_{1}and V

_{3}are text 0.545 V and 3.22 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.744 V. What is the absolute value of the current through R

_{1}?

- -a) 1.886E-01 A
- +b) 2.075E-01 A
- -c) 2.282E-01 A
- -d) 2.510E-01 A
- -e) 2.761E-01 A

4) Three resistors, R_{1} = 0.855 Ω, and R_{2} = R_{2} = 1.91 Ω, are connected in parallel to a 6.97 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- +a) 5.682E+01 W
- -b) 6.250E+01 W
- -c) 6.875E+01 W
- -d) 7.563E+01 W
- -e) 8.319E+01 W

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#### Key: O2[edit | edit source]

1) Three resistors, R_{1} = 0.686 Ω, and R_{2} = R_{2} = 1.58 Ω, are connected in parallel to a 8.97 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- +a) 1.173E+02 W
- -b) 1.290E+02 W
- -c) 1.419E+02 W
- -d) 1.561E+02 W
- -e) 1.717E+02 W

_{1}=39.0 V, and ε

_{2}=15.9 V are oriented as shownin the circuit. The resistances are R

_{1}=3.4 kΩ and R

_{2}=2.12 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.58 mA and I

_{4}=0.978 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- -a) 2.150E+00 mA
- -b) 2.365E+00 mA
- +c) 2.602E+00 mA
- -d) 2.862E+00 mA
- -e) 3.148E+00 mA

_{1}=17.3 V, and ε

_{2}=6.46 V are oriented as shownin the circuit. The resistances are R

_{1}=2.54 kΩ and R

_{2}=2.79 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=1.1 mA and I

_{4}=0.281 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- -a) 6.488E+00 V
- +b) 7.137E+00 V
- -c) 7.850E+00 V
- -d) 8.635E+00 V
- -e) 9.499E+00 V

_{1}= 2.73 Ω, R

_{2}= 1.4 Ω, and R

_{2}= 2.35 Ω. V

_{1}and V

_{3}are text 0.549 V and 1.27 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.584 V. What is the absolute value of the current through R

_{1}?

- -a) 1.213E-01 A
- -b) 1.334E-01 A
- -c) 1.468E-01 A
- +d) 1.614E-01 A
- -e) 1.776E-01 A

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### Key: P0[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.73 Ω, R

_{2}= 1.4 Ω, and R

_{2}= 2.35 Ω. V

_{1}and V

_{3}are text 0.549 V and 1.27 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.584 V. What is the absolute value of the current through R

_{1}?

- -a) 1.213E-01 A
- -b) 1.334E-01 A
- -c) 1.468E-01 A
- +d) 1.614E-01 A
- -e) 1.776E-01 A

2) A given battery has a 15 V emf and an internal resistance of 0.162 Ω. If it is connected to a 0.561 Ω resistor what is the power dissipated by that load?

- -a) 1.814E+02 W
- -b) 1.996E+02 W
- -c) 2.195E+02 W
- +d) 2.415E+02 W
- -e) 2.656E+02 W

- -a) 9.024E+00 s
- -b) 9.927E+00 s
- -c) 1.092E+01 s
- +d) 1.201E+01 s
- -e) 1.321E+01 s

_{1}=35.5 V, and ε

_{2}=12.3 V are oriented as shownin the circuit. The resistances are R

_{1}=4.49 kΩ and R

_{2}=1.53 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.63 mA and I

_{4}=0.972 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 1.093E+01 V
- +b) 1.202E+01 V
- -c) 1.322E+01 V
- -d) 1.454E+01 V
- -e) 1.600E+01 V

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#### Key: P1[edit | edit source]

1) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 129 V. If the combined external and internal resistance is 169 &Omega and the capacitance is 76 mF, how long will it take for the capacitor's voltage to reach 109.0 V?- -a) 2.177E+01 s
- +b) 2.394E+01 s
- -c) 2.634E+01 s
- -d) 2.897E+01 s
- -e) 3.187E+01 s

_{1}=57.0 V, and ε

_{2}=18.1 V are oriented as shownin the circuit. The resistances are R

_{1}=4.95 kΩ and R

_{2}=2.09 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.23 mA and I

_{4}=1.04 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 1.921E+01 V
- +b) 2.114E+01 V
- -c) 2.325E+01 V
- -d) 2.557E+01 V
- -e) 2.813E+01 V

3) A given battery has a 12 V emf and an internal resistance of 0.0984 Ω. If it is connected to a 0.485 Ω resistor what is the power dissipated by that load?

- +a) 2.052E+02 W
- -b) 2.257E+02 W
- -c) 2.483E+02 W
- -d) 2.731E+02 W
- -e) 3.004E+02 W

_{1}= 2.41 Ω, R

_{2}= 1.74 Ω, and R

_{2}= 3.35 Ω. V

_{1}and V

_{3}are text 0.508 V and 1.36 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.595 V. What is the absolute value of the current through R

_{1}?

- -a) 1.203E-01 A
- -b) 1.324E-01 A
- +c) 1.456E-01 A
- -d) 1.602E-01 A
- -e) 1.762E-01 A

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#### Key: P2[edit | edit source]

1) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 466 V. If the combined external and internal resistance is 123 &Omega and the capacitance is 76 mF, how long will it take for the capacitor's voltage to reach 331.0 V?- -a) 9.571E+00 s
- -b) 1.053E+01 s
- +c) 1.158E+01 s
- -d) 1.274E+01 s
- -e) 1.401E+01 s

_{1}= 1.33 Ω, R

_{2}= 1.72 Ω, and R

_{2}= 3.69 Ω. V

_{1}and V

_{3}are text 0.606 V and 3.31 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.608 V. What is the absolute value of the current through R

_{1}?

- -a) 1.137E-01 A
- -b) 1.251E-01 A
- -c) 1.376E-01 A
- +d) 1.514E-01 A
- -e) 1.665E-01 A

3) A given battery has a 13 V emf and an internal resistance of 0.106 Ω. If it is connected to a 0.752 Ω resistor what is the power dissipated by that load?

- -a) 1.569E+02 W
- +b) 1.726E+02 W
- -c) 1.899E+02 W
- -d) 2.089E+02 W
- -e) 2.298E+02 W

_{1}=38.8 V, and ε

_{2}=14.9 V are oriented as shownin the circuit. The resistances are R

_{1}=5.83 kΩ and R

_{2}=1.77 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.57 mA and I

_{4}=1.19 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 1.013E+01 V
- -b) 1.115E+01 V
- -c) 1.226E+01 V
- +d) 1.349E+01 V
- -e) 1.484E+01 V

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### Key: Q0[edit | edit source]

1) Three resistors, R_{1} = 1.2 Ω, and R_{2} = R_{2} = 2.75 Ω, are connected in parallel to a 6.42 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- -a) 2.581E+01 W
- -b) 2.839E+01 W
- -c) 3.122E+01 W
- +d) 3.435E+01 W
- -e) 3.778E+01 W

_{1}=58.5 V, and ε

_{2}=17.3 V are oriented as shownin the circuit. The resistances are R

_{1}=3.06 kΩ and R

_{2}=1.88 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=5.25 mA and I

_{4}=1.25 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- -a) 1.981E+01 V
- +b) 2.179E+01 V
- -c) 2.397E+01 V
- -d) 2.637E+01 V
- -e) 2.901E+01 V

- +a) 2.467E+00 V
- -b) 2.714E+00 V
- -c) 2.985E+00 V
- -d) 3.283E+00 V
- -e) 3.612E+00 V

_{1}=26.8 V, and ε

_{2}=10.1 V are oriented as shownin the circuit. The resistances are R

_{1}=2.2 kΩ and R

_{2}=2.55 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.29 mA and I

_{4}=0.464 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 3.436E+00 V
- -b) 3.779E+00 V
- -c) 4.157E+00 V
- -d) 4.573E+00 V
- +e) 5.030E+00 V

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#### Key: Q1[edit | edit source]

1) Two sources of emf ε_{1}=28.6 V, and ε

_{2}=11.1 V are oriented as shownin the circuit. The resistances are R

_{1}=3.73 kΩ and R

_{2}=1.95 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.27 mA and I

_{4}=0.774 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 6.641E+00 V
- +b) 7.305E+00 V
- -c) 8.035E+00 V
- -d) 8.839E+00 V
- -e) 9.723E+00 V

2) A battery with a terminal voltage of 14.6 V is connected to a circuit consisting of 2 21.7 Ω resistors and one 14.4 Ω resistor. What is the voltage drop across the 14.4 Ω resistor?

- +a) 3.637E+00 V
- -b) 4.001E+00 V
- -c) 4.401E+00 V
- -d) 4.841E+00 V
- -e) 5.325E+00 V

_{1}=54.9 V, and ε

_{2}=19.8 V are oriented as shownin the circuit. The resistances are R

_{1}=3.93 kΩ and R

_{2}=1.31 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=9.18 mA and I

_{4}=1.83 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- +a) 1.779E+01 V
- -b) 1.957E+01 V
- -c) 2.153E+01 V
- -d) 2.368E+01 V
- -e) 2.605E+01 V

4) Three resistors, R_{1} = 1.74 Ω, and R_{2} = R_{2} = 3.92 Ω, are connected in parallel to a 8.5 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- -a) 2.836E+01 W
- -b) 3.120E+01 W
- -c) 3.432E+01 W
- -d) 3.775E+01 W
- +e) 4.152E+01 W

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#### Key: Q2[edit | edit source]

1) A battery with a terminal voltage of 12.4 V is connected to a circuit consisting of 3 21.6 Ω resistors and one 12.1 Ω resistor. What is the voltage drop across the 12.1 Ω resistor?

- -a) 1.333E+00 V
- -b) 1.466E+00 V
- -c) 1.612E+00 V
- -d) 1.774E+00 V
- +e) 1.951E+00 V

_{1}=24.4 V, and ε

_{2}=6.73 V are oriented as shownin the circuit. The resistances are R

_{1}=5.7 kΩ and R

_{2}=1.95 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.36 mA and I

_{4}=0.418 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- -a) 5.418E+00 V
- -b) 5.960E+00 V
- -c) 6.556E+00 V
- -d) 7.212E+00 V
- +e) 7.933E+00 V

3) Three resistors, R_{1} = 1.31 Ω, and R_{2} = R_{2} = 2.91 Ω, are connected in parallel to a 6.03 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- -a) 2.294E+01 W
- -b) 2.523E+01 W
- +c) 2.776E+01 W
- -d) 3.053E+01 W
- -e) 3.359E+01 W

_{1}=26.2 V, and ε

_{2}=8.29 V are oriented as shownin the circuit. The resistances are R

_{1}=3.43 kΩ and R

_{2}=1.16 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.09 mA and I

_{4}=1.06 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 6.720E+00 V
- -b) 7.392E+00 V
- -c) 8.131E+00 V
- -d) 8.944E+00 V
- +e) 9.838E+00 V

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### Key: R0[edit | edit source]

1) The resistances in the figure shown are R_{1}= 1.18 Ω, R

_{2}= 0.878 Ω, and R

_{2}= 2.11 Ω. V

_{1}and V

_{3}are text 0.637 V and 3.51 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.547 V. What is the absolute value of the current through R

_{1}?

- -a) 1.701E-01 A
- +b) 1.871E-01 A
- -c) 2.058E-01 A
- -d) 2.264E-01 A
- -e) 2.490E-01 A

2) Three resistors, R_{1} = 0.686 Ω, and R_{2} = R_{2} = 1.58 Ω, are connected in parallel to a 8.97 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- +a) 1.173E+02 W
- -b) 1.290E+02 W
- -c) 1.419E+02 W
- -d) 1.561E+02 W
- -e) 1.717E+02 W

_{1}=46.1 V, and ε

_{2}=16.2 V are oriented as shownin the circuit. The resistances are R

_{1}=5.17 kΩ and R

_{2}=2.06 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.97 mA and I

_{4}=1.07 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- -a) 1.309E+01 V
- -b) 1.440E+01 V
- +c) 1.584E+01 V
- -d) 1.742E+01 V
- -e) 1.917E+01 V

- -a) 1.229E+02 W
- -b) 1.352E+02 W
- -c) 1.487E+02 W
- +d) 1.636E+02 W
- -e) 1.799E+02 W

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#### Key: R1[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.41 Ω, R

_{2}= 1.74 Ω, and R

_{2}= 3.35 Ω. V

_{1}and V

_{3}are text 0.508 V and 1.36 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.595 V. What is the absolute value of the current through R

_{1}?

- -a) 1.203E-01 A
- -b) 1.324E-01 A
- +c) 1.456E-01 A
- -d) 1.602E-01 A
- -e) 1.762E-01 A

2) A given battery has a 13 V emf and an internal resistance of 0.161 Ω. If it is connected to a 0.814 Ω resistor what is the power dissipated by that load?

- -a) 1.087E+02 W
- -b) 1.196E+02 W
- -c) 1.316E+02 W
- +d) 1.447E+02 W
- -e) 1.592E+02 W

3) Three resistors, R_{1} = 0.686 Ω, and R_{2} = R_{2} = 1.58 Ω, are connected in parallel to a 8.97 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- +a) 1.173E+02 W
- -b) 1.290E+02 W
- -c) 1.419E+02 W
- -d) 1.561E+02 W
- -e) 1.717E+02 W

_{1}=58.5 V, and ε

_{2}=17.3 V are oriented as shownin the circuit. The resistances are R

_{1}=3.06 kΩ and R

_{2}=1.88 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=5.25 mA and I

_{4}=1.25 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- -a) 1.981E+01 V
- +b) 2.179E+01 V
- -c) 2.397E+01 V
- -d) 2.637E+01 V
- -e) 2.901E+01 V

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#### Key: R2[edit | edit source]

1) Two sources of emf ε_{1}=36.7 V, and ε

_{2}=12.1 V are oriented as shownin the circuit. The resistances are R

_{1}=2.52 kΩ and R

_{2}=1.22 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.14 mA and I

_{4}=1.19 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- -a) 7.805E+00 V
- -b) 8.586E+00 V
- -c) 9.444E+00 V
- -d) 1.039E+01 V
- +e) 1.143E+01 V

2) Three resistors, R_{1} = 1.82 Ω, and R_{2} = R_{2} = 4.14 Ω, are connected in parallel to a 5.65 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- +a) 1.754E+01 W
- -b) 1.929E+01 W
- -c) 2.122E+01 W
- -d) 2.335E+01 W
- -e) 2.568E+01 W

_{1}= 2.04 Ω, R

_{2}= 1.19 Ω, and R

_{2}= 2.5 Ω. V

_{1}and V

_{3}are text 0.507 V and 3.07 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.602 V. What is the absolute value of the current through R

_{1}?

- +a) 1.401E-01 A
- -b) 1.542E-01 A
- -c) 1.696E-01 A
- -d) 1.865E-01 A
- -e) 2.052E-01 A

4) A given battery has a 12 V emf and an internal resistance of 0.0984 Ω. If it is connected to a 0.485 Ω resistor what is the power dissipated by that load?

- +a) 2.052E+02 W
- -b) 2.257E+02 W
- -c) 2.483E+02 W
- -d) 2.731E+02 W
- -e) 3.004E+02 W

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### Key: S0[edit | edit source]

1) Two sources of emf ε_{1}=39.2 V, and ε

_{2}=12.6 V are oriented as shownin the circuit. The resistances are R

_{1}=3.86 kΩ and R

_{2}=1.89 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.05 mA and I

_{4}=0.701 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 8.687E+00 V
- -b) 9.555E+00 V
- -c) 1.051E+01 V
- -d) 1.156E+01 V
- +e) 1.272E+01 V

2) Three resistors, R_{1} = 1.2 Ω, and R_{2} = R_{2} = 2.75 Ω, are connected in parallel to a 6.42 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- -a) 2.581E+01 W
- -b) 2.839E+01 W
- -c) 3.122E+01 W
- +d) 3.435E+01 W
- -e) 3.778E+01 W

_{1}=39.0 V, and ε

_{2}=15.9 V are oriented as shownin the circuit. The resistances are R

_{1}=3.4 kΩ and R

_{2}=2.12 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.58 mA and I

_{4}=0.978 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- -a) 2.150E+00 mA
- -b) 2.365E+00 mA
- +c) 2.602E+00 mA
- -d) 2.862E+00 mA
- -e) 3.148E+00 mA

- -a) 2.352E+00 V
- -b) 2.587E+00 V
- -c) 2.846E+00 V
- -d) 3.131E+00 V
- +e) 3.444E+00 V

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#### Key: S1[edit | edit source]

1) Two sources of emf ε_{1}=36.3 V, and ε

_{2}=12.9 V are oriented as shownin the circuit. The resistances are R

_{1}=4.28 kΩ and R

_{2}=1.58 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.16 mA and I

_{4}=1.2 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- -a) 2.224E+00 mA
- -b) 2.446E+00 mA
- -c) 2.691E+00 mA
- +d) 2.960E+00 mA
- -e) 3.256E+00 mA

2) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 3 20.9 Ω resistors and one 12.1 Ω resistor. What is the voltage drop across the 12.1 Ω resistor?

- +a) 1.234E+00 V
- -b) 1.358E+00 V
- -c) 1.493E+00 V
- -d) 1.643E+00 V
- -e) 1.807E+00 V

_{1}=16.8 V, and ε

_{2}=7.15 V are oriented as shownin the circuit. The resistances are R

_{1}=3.12 kΩ and R

_{2}=1.51 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=1.95 mA and I

_{4}=0.603 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 4.108E+00 V
- +b) 4.519E+00 V
- -c) 4.970E+00 V
- -d) 5.468E+00 V
- -e) 6.014E+00 V

4) Three resistors, R_{1} = 0.87 Ω, and R_{2} = R_{2} = 2.0 Ω, are connected in parallel to a 8.57 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- -a) 6.977E+01 W
- -b) 7.674E+01 W
- +c) 8.442E+01 W
- -d) 9.286E+01 W
- -e) 1.021E+02 W

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#### Key: S2[edit | edit source]

1) A battery with a terminal voltage of 8.72 V is connected to a circuit consisting of 2 15.8 Ω resistors and one 9.58 Ω resistor. What is the voltage drop across the 9.58 Ω resistor?

- -a) 1.677E+00 V
- -b) 1.844E+00 V
- +c) 2.029E+00 V
- -d) 2.231E+00 V
- -e) 2.455E+00 V

_{1}=24.8 V, and ε

_{2}=10.3 V are oriented as shownin the circuit. The resistances are R

_{1}=2.19 kΩ and R

_{2}=1.6 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.49 mA and I

_{4}=0.83 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- +a) 1.660E+00 mA
- -b) 1.826E+00 mA
- -c) 2.009E+00 mA
- -d) 2.209E+00 mA
- -e) 2.430E+00 mA

_{1}=35.5 V, and ε

_{2}=12.3 V are oriented as shownin the circuit. The resistances are R

_{1}=4.49 kΩ and R

_{2}=1.53 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.63 mA and I

_{4}=0.972 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 1.093E+01 V
- +b) 1.202E+01 V
- -c) 1.322E+01 V
- -d) 1.454E+01 V
- -e) 1.600E+01 V

4) Three resistors, R_{1} = 1.43 Ω, and R_{2} = R_{2} = 3.25 Ω, are connected in parallel to a 9.03 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- -a) 5.184E+01 W
- +b) 5.702E+01 W
- -c) 6.272E+01 W
- -d) 6.900E+01 W
- -e) 7.590E+01 W

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### Key: T0[edit | edit source]

1) In the circuit shown V=17.8 V, R_{1}=2.27 Ω, R

_{2}=6.79 Ω, and R

_{3}=15.1 Ω. What is the power dissipated by R

_{2}?

- -a) 1.446E+01 W
- -b) 1.591E+01 W
- -c) 1.750E+01 W
- -d) 1.925E+01 W
- +e) 2.117E+01 W

2) A battery with a terminal voltage of 7.82 V is connected to a circuit consisting of 2 19.3 Ω resistors and one 12.2 Ω resistor. What is the voltage drop across the 12.2 Ω resistor?

- -a) 1.552E+00 V
- -b) 1.707E+00 V
- +c) 1.878E+00 V
- -d) 2.066E+00 V
- -e) 2.272E+00 V

_{1}= 2.73 Ω, R

_{2}= 1.4 Ω, and R

_{2}= 2.35 Ω. V

_{1}and V

_{3}are text 0.549 V and 1.27 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.584 V. What is the absolute value of the current through R

_{1}?

- -a) 1.213E-01 A
- -b) 1.334E-01 A
- -c) 1.468E-01 A
- +d) 1.614E-01 A
- -e) 1.776E-01 A

- -a) 1.229E+02 W
- -b) 1.352E+02 W
- -c) 1.487E+02 W
- +d) 1.636E+02 W
- -e) 1.799E+02 W

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#### Key: T1[edit | edit source]

1) A given battery has a 13 V emf and an internal resistance of 0.113 Ω. If it is connected to a 0.686 Ω resistor what is the power dissipated by that load?

- -a) 1.501E+02 W
- -b) 1.651E+02 W
- +c) 1.816E+02 W
- -d) 1.998E+02 W
- -e) 2.197E+02 W

_{1}=1.6 Ω, R

_{2}=7.89 Ω, and R

_{3}=15.3 Ω. What is the power dissipated by R

_{2}?

- +a) 1.713E+01 W
- -b) 1.885E+01 W
- -c) 2.073E+01 W
- -d) 2.280E+01 W
- -e) 2.508E+01 W

_{1}= 1.1 Ω, R

_{2}= 1.55 Ω, and R

_{2}= 2.11 Ω. V

_{1}and V

_{3}are text 0.545 V and 3.22 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.744 V. What is the absolute value of the current through R

_{1}?

- -a) 1.886E-01 A
- +b) 2.075E-01 A
- -c) 2.282E-01 A
- -d) 2.510E-01 A
- -e) 2.761E-01 A

- -a) 1.958E+00 V
- -b) 2.153E+00 V
- +c) 2.369E+00 V
- -d) 2.606E+00 V
- -e) 2.866E+00 V

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#### Key: T2[edit | edit source]

1) In the circuit shown V=19.6 V, R_{1}=1.45 Ω, R

_{2}=7.85 Ω, and R

_{3}=15.8 Ω. What is the power dissipated by R

_{2}?

- -a) 2.730E+01 W
- +b) 3.003E+01 W
- -c) 3.304E+01 W
- -d) 3.634E+01 W
- -e) 3.998E+01 W

_{1}= 1.57 Ω, R

_{2}= 1.25 Ω, and R

_{2}= 3.38 Ω. V

_{1}and V

_{3}are text 0.585 V and 2.91 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.55 V. What is the absolute value of the current through R

_{1}?

- -a) 1.427E-01 A
- -b) 1.569E-01 A
- +c) 1.726E-01 A
- -d) 1.899E-01 A
- -e) 2.089E-01 A

3) A battery with a terminal voltage of 14.6 V is connected to a circuit consisting of 2 21.7 Ω resistors and one 14.4 Ω resistor. What is the voltage drop across the 14.4 Ω resistor?

- +a) 3.637E+00 V
- -b) 4.001E+00 V
- -c) 4.401E+00 V
- -d) 4.841E+00 V
- -e) 5.325E+00 V

4) A given battery has a 11 V emf and an internal resistance of 0.0998 Ω. If it is connected to a 0.417 Ω resistor what is the power dissipated by that load?

- -a) 1.419E+02 W
- -b) 1.561E+02 W
- -c) 1.717E+02 W
- +d) 1.889E+02 W
- -e) 2.078E+02 W

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### Key: U0[edit | edit source]

1) Two sources of emf ε_{1}=14.3 V, and ε

_{2}=5.6 V are oriented as shownin the circuit. The resistances are R

_{1}=5.31 kΩ and R

_{2}=2.39 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=1.12 mA and I

_{4}=0.284 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- -a) 3.416E+00 V
- -b) 3.757E+00 V
- -c) 4.133E+00 V
- +d) 4.546E+00 V
- -e) 5.001E+00 V

- -a) 5.401E+00 s
- -b) 5.941E+00 s
- -c) 6.535E+00 s
- -d) 7.189E+00 s
- +e) 7.908E+00 s

_{1}= 1.81 Ω, R

_{2}= 1.18 Ω, and R

_{2}= 2.62 Ω. V

_{1}and V

_{3}are text 0.628 V and 2.54 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.748 V. What is the absolute value of the current through R

_{1}?

- -a) 1.552E-01 A
- -b) 1.707E-01 A
- -c) 1.878E-01 A
- -d) 2.065E-01 A
- +e) 2.272E-01 A

4) Three resistors, R_{1} = 0.61 Ω, and R_{2} = R_{2} = 1.35 Ω, are connected in parallel to a 7.04 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- -a) 7.386E+01 W
- +b) 8.125E+01 W
- -c) 8.937E+01 W
- -d) 9.831E+01 W
- -e) 1.081E+02 W

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#### Key: U1[edit | edit source]

1) Three resistors, R_{1} = 1.25 Ω, and R_{2} = R_{2} = 2.82 Ω, are connected in parallel to a 8.6 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- -a) 4.890E+01 W
- -b) 5.379E+01 W
- +c) 5.917E+01 W
- -d) 6.508E+01 W
- -e) 7.159E+01 W

_{1}=18.6 V, and ε

_{2}=5.63 V are oriented as shownin the circuit. The resistances are R

_{1}=3.9 kΩ and R

_{2}=1.1 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.41 mA and I

_{4}=0.614 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- -a) 4.342E+00 V
- -b) 4.776E+00 V
- -c) 5.254E+00 V
- +d) 5.779E+00 V
- -e) 6.357E+00 V

- +a) 1.905E+01 s
- -b) 2.095E+01 s
- -c) 2.304E+01 s
- -d) 2.535E+01 s
- -e) 2.788E+01 s

_{1}= 1.57 Ω, R

_{2}= 1.25 Ω, and R

_{2}= 3.38 Ω. V

_{1}and V

_{3}are text 0.585 V and 2.91 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.55 V. What is the absolute value of the current through R

_{1}?

- -a) 1.427E-01 A
- -b) 1.569E-01 A
- +c) 1.726E-01 A
- -d) 1.899E-01 A
- -e) 2.089E-01 A

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#### Key: U2[edit | edit source]

1) Two sources of emf ε_{1}=21.6 V, and ε

_{2}=8.59 V are oriented as shownin the circuit. The resistances are R

_{1}=4.97 kΩ and R

_{2}=1.69 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.2 mA and I

_{4}=0.749 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- -a) 6.064E+00 V
- -b) 6.670E+00 V
- +c) 7.337E+00 V
- -d) 8.071E+00 V
- -e) 8.878E+00 V

_{1}= 2.42 Ω, R

_{2}= 1.09 Ω, and R

_{2}= 3.89 Ω. V

_{1}and V

_{3}are text 0.677 V and 1.86 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.745 V. What is the absolute value of the current through R

_{1}?

- -a) 2.089E-01 A
- -b) 2.298E-01 A
- +c) 2.528E-01 A
- -d) 2.781E-01 A
- -e) 3.059E-01 A

- -a) 3.224E+01 s
- +b) 3.547E+01 s
- -c) 3.902E+01 s
- -d) 4.292E+01 s
- -e) 4.721E+01 s

4) Three resistors, R_{1} = 0.624 Ω, and R_{2} = R_{2} = 1.37 Ω, are connected in parallel to a 7.46 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- -a) 7.371E+01 W
- -b) 8.108E+01 W
- +c) 8.919E+01 W
- -d) 9.810E+01 W
- -e) 1.079E+02 W

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### Key: V0[edit | edit source]

- -a) 1.419E+02 W
- -b) 1.561E+02 W
- -c) 1.717E+02 W
- +d) 1.889E+02 W
- -e) 2.078E+02 W

_{1}=2.77 Ω, R

_{2}=6.07 Ω, and R

_{3}=14.5 Ω. What is the power dissipated by R

_{2}?

- -a) 1.190E+01 W
- -b) 1.309E+01 W
- +c) 1.440E+01 W
- -d) 1.584E+01 W
- -e) 1.742E+01 W

_{1}= 1.54 Ω, R

_{2}= 0.927 Ω, and R

_{2}= 2.46 Ω. V

_{1}and V

_{3}are text 0.632 V and 2.12 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.586 V. What is the absolute value of the current through R

_{1}?

- -a) 1.770E-01 A
- -b) 1.947E-01 A
- +c) 2.141E-01 A
- -d) 2.355E-01 A
- -e) 2.591E-01 A

- -a) 1.296E+01 s
- -b) 1.425E+01 s
- +c) 1.568E+01 s
- -d) 1.725E+01 s
- -e) 1.897E+01 s

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#### Key: V1[edit | edit source]

1) A given battery has a 14 V emf and an internal resistance of 0.132 Ω. If it is connected to a 0.689 Ω resistor what is the power dissipated by that load?

- -a) 1.656E+02 W
- -b) 1.821E+02 W
- +c) 2.003E+02 W
- -d) 2.204E+02 W
- -e) 2.424E+02 W

_{1}= 2.42 Ω, R

_{2}= 1.09 Ω, and R

_{2}= 3.89 Ω. V

_{1}and V

_{3}are text 0.677 V and 1.86 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.745 V. What is the absolute value of the current through R

_{1}?

- -a) 2.089E-01 A
- -b) 2.298E-01 A
- +c) 2.528E-01 A
- -d) 2.781E-01 A
- -e) 3.059E-01 A

_{1}=2.27 Ω, R

_{2}=6.79 Ω, and R

_{3}=15.1 Ω. What is the power dissipated by R

_{2}?

- -a) 1.446E+01 W
- -b) 1.591E+01 W
- -c) 1.750E+01 W
- -d) 1.925E+01 W
- +e) 2.117E+01 W

- +a) 9.240E+00 s
- -b) 1.016E+01 s
- -c) 1.118E+01 s
- -d) 1.230E+01 s
- -e) 1.353E+01 s

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#### Key: V2[edit | edit source]

1) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 543 V. If the combined external and internal resistance is 201 &Omega and the capacitance is 82 mF, how long will it take for the capacitor's voltage to reach 281.0 V?- -a) 9.024E+00 s
- -b) 9.927E+00 s
- -c) 1.092E+01 s
- +d) 1.201E+01 s
- -e) 1.321E+01 s

_{1}=1.26 Ω, R

_{2}=5.65 Ω, and R

_{3}=14.8 Ω. What is the power dissipated by R

_{2}?

- -a) 8.240E+00 W
- -b) 9.064E+00 W
- -c) 9.970E+00 W
- -d) 1.097E+01 W
- +e) 1.206E+01 W

3) A given battery has a 13 V emf and an internal resistance of 0.159 Ω. If it is connected to a 0.617 Ω resistor what is the power dissipated by that load?

- -a) 1.301E+02 W
- -b) 1.431E+02 W
- -c) 1.574E+02 W
- +d) 1.732E+02 W
- -e) 1.905E+02 W

_{1}= 2.24 Ω, R

_{2}= 1.03 Ω, and R

_{2}= 2.39 Ω. V

_{1}and V

_{3}are text 0.595 V and 2.58 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.707 V. What is the absolute value of the current through R

_{1}?

- -a) 1.834E-01 A
- +b) 2.018E-01 A
- -c) 2.220E-01 A
- -d) 2.441E-01 A
- -e) 2.686E-01 A

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### Key: W0[edit | edit source]

1) Three resistors, R_{1} = 1.52 Ω, and R_{2} = R_{2} = 3.38 Ω, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- -a) 1.842E+01 W
- -b) 2.026E+01 W
- +c) 2.228E+01 W
- -d) 2.451E+01 W
- -e) 2.696E+01 W

2) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 2 20.3 Ω resistors and one 13.1 Ω resistor. What is the voltage drop across the 13.1 Ω resistor?

- -a) 2.843E+00 V
- -b) 3.127E+00 V
- +c) 3.440E+00 V
- -d) 3.784E+00 V
- -e) 4.162E+00 V

_{1}=18.2 V, and ε

_{2}=6.59 V are oriented as shownin the circuit. The resistances are R

_{1}=5.47 kΩ and R

_{2}=2.81 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=1.64 mA and I

_{4}=0.341 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- +a) 1.299E+00 mA
- -b) 1.429E+00 mA
- -c) 1.572E+00 mA
- -d) 1.729E+00 mA
- -e) 1.902E+00 mA

_{1}= 2.74 Ω, R

_{2}= 1.63 Ω, and R

_{2}= 2.75 Ω. V

_{1}and V

_{3}are text 0.485 V and 2.01 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.555 V. What is the absolute value of the current through R

_{1}?

- -a) 1.114E-01 A
- +b) 1.225E-01 A
- -c) 1.348E-01 A
- -d) 1.483E-01 A
- -e) 1.631E-01 A

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#### Key: W1[edit | edit source]

1) A battery with a terminal voltage of 10.7 V is connected to a circuit consisting of 2 24.5 Ω resistors and one 15.2 Ω resistor. What is the voltage drop across the 15.2 Ω resistor?

- -a) 1.730E+00 V
- -b) 1.903E+00 V
- -c) 2.094E+00 V
- -d) 2.303E+00 V
- +e) 2.533E+00 V

_{1}= 1.57 Ω, R

_{2}= 1.25 Ω, and R

_{2}= 3.38 Ω. V

_{1}and V

_{3}are text 0.585 V and 2.91 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.55 V. What is the absolute value of the current through R

_{1}?

- -a) 1.427E-01 A
- -b) 1.569E-01 A
- +c) 1.726E-01 A
- -d) 1.899E-01 A
- -e) 2.089E-01 A

3) Three resistors, R_{1} = 1.25 Ω, and R_{2} = R_{2} = 2.82 Ω, are connected in parallel to a 8.6 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- -a) 4.890E+01 W
- -b) 5.379E+01 W
- +c) 5.917E+01 W
- -d) 6.508E+01 W
- -e) 7.159E+01 W

_{1}=24.9 V, and ε

_{2}=10.1 V are oriented as shownin the circuit. The resistances are R

_{1}=2.32 kΩ and R

_{2}=2.31 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.74 mA and I

_{4}=0.444 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- -a) 1.725E+00 mA
- -b) 1.898E+00 mA
- -c) 2.087E+00 mA
- +d) 2.296E+00 mA
- -e) 2.526E+00 mA

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#### Key: W2[edit | edit source]

_{1} = 0.672 Ω, and R_{2} = R_{2} = 1.52 Ω, are connected in parallel to a 5.34 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- -a) 2.898E+01 W
- -b) 3.188E+01 W
- -c) 3.507E+01 W
- -d) 3.858E+01 W
- +e) 4.243E+01 W

_{1}= 1.1 Ω, R

_{2}= 1.55 Ω, and R

_{2}= 2.11 Ω. V

_{1}and V

_{3}are text 0.545 V and 3.22 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.744 V. What is the absolute value of the current through R

_{1}?

- -a) 1.886E-01 A
- +b) 2.075E-01 A
- -c) 2.282E-01 A
- -d) 2.510E-01 A
- -e) 2.761E-01 A

_{1}=29.3 V, and ε

_{2}=11.0 V are oriented as shownin the circuit. The resistances are R

_{1}=5.65 kΩ and R

_{2}=2.68 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.81 mA and I

_{4}=0.525 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- -a) 1.717E+00 mA
- -b) 1.888E+00 mA
- -c) 2.077E+00 mA
- +d) 2.285E+00 mA
- -e) 2.514E+00 mA

4) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 2 20.3 Ω resistors and one 13.1 Ω resistor. What is the voltage drop across the 13.1 Ω resistor?

- -a) 2.843E+00 V
- -b) 3.127E+00 V
- +c) 3.440E+00 V
- -d) 3.784E+00 V
- -e) 4.162E+00 V

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### Key: X0[edit | edit source]

1) The resistances in the figure shown are R_{1}= 2.34 Ω, R

_{2}= 1.34 Ω, and R

_{2}= 2.94 Ω. V

_{1}and V

_{3}are text 0.609 V and 1.68 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.541 V. What is the absolute value of the current through R

_{1}?

- -a) 1.464E-01 A
- +b) 1.610E-01 A
- -c) 1.772E-01 A
- -d) 1.949E-01 A
- -e) 2.144E-01 A

_{1}=44.4 V, and ε

_{2}=16.8 V are oriented as shownin the circuit. The resistances are R

_{1}=4.58 kΩ and R

_{2}=1.2 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=8.43 mA and I

_{4}=1.46 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- +a) 6.970E+00 mA
- -b) 7.667E+00 mA
- -c) 8.434E+00 mA
- -d) 9.277E+00 mA
- -e) 1.020E+01 mA

_{1} = 0.686 Ω, and R_{2} = R_{2} = 1.58 Ω, are connected in parallel to a 8.97 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- +a) 1.173E+02 W
- -b) 1.290E+02 W
- -c) 1.419E+02 W
- -d) 1.561E+02 W
- -e) 1.717E+02 W

_{1}=38.9 V, and ε

_{2}=14.4 V are oriented as shownin the circuit. The resistances are R

_{1}=4.33 kΩ and R

_{2}=1.65 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=5.59 mA and I

_{4}=1.07 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 9.142E+00 V
- -b) 1.006E+01 V
- +c) 1.106E+01 V
- -d) 1.217E+01 V
- -e) 1.338E+01 V

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#### Key: X1[edit | edit source]

1) Three resistors, R_{1} = 1.82 Ω, and R_{2} = R_{2} = 4.14 Ω, are connected in parallel to a 5.65 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- +a) 1.754E+01 W
- -b) 1.929E+01 W
- -c) 2.122E+01 W
- -d) 2.335E+01 W
- -e) 2.568E+01 W

_{1}=29.5 V, and ε

_{2}=11.0 V are oriented as shownin the circuit. The resistances are R

_{1}=2.45 kΩ and R

_{2}=1.96 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.03 mA and I

_{4}=0.783 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- +a) 2.247E+00 mA
- -b) 2.472E+00 mA
- -c) 2.719E+00 mA
- -d) 2.991E+00 mA
- -e) 3.290E+00 mA

_{1}= 2.73 Ω, R

_{2}= 1.4 Ω, and R

_{2}= 2.35 Ω. V

_{1}and V

_{3}are text 0.549 V and 1.27 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.584 V. What is the absolute value of the current through R

_{1}?

- -a) 1.213E-01 A
- -b) 1.334E-01 A
- -c) 1.468E-01 A
- +d) 1.614E-01 A
- -e) 1.776E-01 A

_{1}=27.1 V, and ε

_{2}=8.04 V are oriented as shownin the circuit. The resistances are R

_{1}=2.94 kΩ and R

_{2}=1.61 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=2.87 mA and I

_{4}=0.57 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 8.482E+00 V
- +b) 9.330E+00 V
- -c) 1.026E+01 V
- -d) 1.129E+01 V
- -e) 1.242E+01 V

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#### Key: X2[edit | edit source]

1) Two sources of emf ε_{1}=49.6 V, and ε

_{2}=19.3 V are oriented as shownin the circuit. The resistances are R

_{1}=4.87 kΩ and R

_{2}=2.81 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.37 mA and I

_{4}=1.01 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- -a) 3.055E+00 mA
- +b) 3.360E+00 mA
- -c) 3.696E+00 mA
- -d) 4.066E+00 mA
- -e) 4.472E+00 mA

2) Three resistors, R_{1} = 1.23 Ω, and R_{2} = R_{2} = 2.73 Ω, are connected in parallel to a 5.41 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- -a) 1.788E+01 W
- -b) 1.967E+01 W
- -c) 2.163E+01 W
- +d) 2.380E+01 W
- -e) 2.617E+01 W

_{1}=16.8 V, and ε

_{2}=7.15 V are oriented as shownin the circuit. The resistances are R

_{1}=3.12 kΩ and R

_{2}=1.51 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=1.95 mA and I

_{4}=0.603 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 4.108E+00 V
- +b) 4.519E+00 V
- -c) 4.970E+00 V
- -d) 5.468E+00 V
- -e) 6.014E+00 V

_{1}= 1.81 Ω, R

_{2}= 1.18 Ω, and R

_{2}= 2.62 Ω. V

_{1}and V

_{3}are text 0.628 V and 2.54 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.748 V. What is the absolute value of the current through R

_{1}?

- -a) 1.552E-01 A
- -b) 1.707E-01 A
- -c) 1.878E-01 A
- -d) 2.065E-01 A
- +e) 2.272E-01 A

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### Key: Y0[edit | edit source]

1) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 569 V. If the combined external and internal resistance is 137 &Omega and the capacitance is 76 mF, how long will it take for the capacitor's voltage to reach 419.0 V?- -a) 1.043E+01 s
- -b) 1.147E+01 s
- -c) 1.262E+01 s
- +d) 1.388E+01 s
- -e) 1.527E+01 s

_{1}=2.66 Ω, R

_{2}=7.29 Ω, and R

_{3}=14.5 Ω. What is the power dissipated by R

_{2}?

- -a) 7.123E+00 W
- -b) 7.835E+00 W
- -c) 8.618E+00 W
- -d) 9.480E+00 W
- +e) 1.043E+01 W

3) A battery with a terminal voltage of 8.01 V is connected to a circuit consisting of 3 22.1 Ω resistors and one 14.5 Ω resistor. What is the voltage drop across the 14.5 Ω resistor?

- -a) 9.818E-01 V
- -b) 1.080E+00 V
- -c) 1.188E+00 V
- -d) 1.307E+00 V
- +e) 1.437E+00 V

_{1}=18.2 V, and ε

_{2}=6.59 V are oriented as shownin the circuit. The resistances are R

_{1}=5.47 kΩ and R

_{2}=2.81 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=1.64 mA and I

_{4}=0.341 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- +a) 1.299E+00 mA
- -b) 1.429E+00 mA
- -c) 1.572E+00 mA
- -d) 1.729E+00 mA
- -e) 1.902E+00 mA

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#### Key: Y1[edit | edit source]

1) Two sources of emf ε_{1}=38.9 V, and ε

_{2}=15.7 V are oriented as shownin the circuit. The resistances are R

_{1}=2.24 kΩ and R

_{2}=2.23 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.01 mA and I

_{4}=0.86 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- -a) 1.955E+00 mA
- +b) 2.150E+00 mA
- -c) 2.365E+00 mA
- -d) 2.601E+00 mA
- -e) 2.862E+00 mA

- -a) 9.718E+00 s
- -b) 1.069E+01 s
- +c) 1.176E+01 s
- -d) 1.293E+01 s
- -e) 1.423E+01 s

_{1}=1.86 Ω, R

_{2}=7.66 Ω, and R

_{3}=12.9 Ω. What is the power dissipated by R

_{2}?

- -a) 1.157E+01 W
- -b) 1.273E+01 W
- -c) 1.400E+01 W
- -d) 1.540E+01 W
- +e) 1.694E+01 W

4) A battery with a terminal voltage of 8.14 V is connected to a circuit consisting of 2 21.5 Ω resistors and one 13.1 Ω resistor. What is the voltage drop across the 13.1 Ω resistor?

- -a) 1.298E+00 V
- -b) 1.428E+00 V
- -c) 1.571E+00 V
- -d) 1.728E+00 V
- +e) 1.901E+00 V

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#### Key: Y2[edit | edit source]

1) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 3 15.7 Ω resistors and one 10.2 Ω resistor. What is the voltage drop across the 10.2 Ω resistor?

- -a) 2.074E+00 V
- -b) 2.282E+00 V
- +c) 2.510E+00 V
- -d) 2.761E+00 V
- -e) 3.037E+00 V

_{1}=39.0 V, and ε

_{2}=15.9 V are oriented as shownin the circuit. The resistances are R

_{1}=3.4 kΩ and R

_{2}=2.12 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.58 mA and I

_{4}=0.978 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- -a) 2.150E+00 mA
- -b) 2.365E+00 mA
- +c) 2.602E+00 mA
- -d) 2.862E+00 mA
- -e) 3.148E+00 mA

_{1}=1.6 Ω, R

_{2}=7.89 Ω, and R

_{3}=15.3 Ω. What is the power dissipated by R

_{2}?

- +a) 1.713E+01 W
- -b) 1.885E+01 W
- -c) 2.073E+01 W
- -d) 2.280E+01 W
- -e) 2.508E+01 W

- +a) 1.905E+01 s
- -b) 2.095E+01 s
- -c) 2.304E+01 s
- -d) 2.535E+01 s
- -e) 2.788E+01 s

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### Key: Z0[edit | edit source]

1) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 319 V. If the combined external and internal resistance is 231 &Omega and the capacitance is 64 mF, how long will it take for the capacitor's voltage to reach 175.0 V?- -a) 9.718E+00 s
- -b) 1.069E+01 s
- +c) 1.176E+01 s
- -d) 1.293E+01 s
- -e) 1.423E+01 s

_{1}= 1.81 Ω, R

_{2}= 1.18 Ω, and R

_{2}= 2.62 Ω. V

_{1}and V

_{3}are text 0.628 V and 2.54 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.748 V. What is the absolute value of the current through R

_{1}?

- -a) 1.552E-01 A
- -b) 1.707E-01 A
- -c) 1.878E-01 A
- -d) 2.065E-01 A
- +e) 2.272E-01 A

_{1}=35.5 V, and ε

_{2}=12.3 V are oriented as shownin the circuit. The resistances are R

_{1}=4.49 kΩ and R

_{2}=1.53 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.63 mA and I

_{4}=0.972 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 1.093E+01 V
- +b) 1.202E+01 V
- -c) 1.322E+01 V
- -d) 1.454E+01 V
- -e) 1.600E+01 V

_{1}=36.7 V, and ε

_{2}=12.1 V are oriented as shownin the circuit. The resistances are R

_{1}=2.52 kΩ and R

_{2}=1.22 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.14 mA and I

_{4}=1.19 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- -a) 7.805E+00 V
- -b) 8.586E+00 V
- -c) 9.444E+00 V
- -d) 1.039E+01 V
- +e) 1.143E+01 V

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#### Key: Z1[edit | edit source]

1) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 466 V. If the combined external and internal resistance is 123 &Omega and the capacitance is 76 mF, how long will it take for the capacitor's voltage to reach 331.0 V?- -a) 9.571E+00 s
- -b) 1.053E+01 s
- +c) 1.158E+01 s
- -d) 1.274E+01 s
- -e) 1.401E+01 s

_{1}= 1.57 Ω, R

_{2}= 1.25 Ω, and R

_{2}= 3.38 Ω. V

_{1}and V

_{3}are text 0.585 V and 2.91 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.55 V. What is the absolute value of the current through R

_{1}?

- -a) 1.427E-01 A
- -b) 1.569E-01 A
- +c) 1.726E-01 A
- -d) 1.899E-01 A
- -e) 2.089E-01 A

_{1}=57.0 V, and ε

_{2}=18.1 V are oriented as shownin the circuit. The resistances are R

_{1}=4.95 kΩ and R

_{2}=2.09 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.23 mA and I

_{4}=1.04 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- -a) 1.921E+01 V
- +b) 2.114E+01 V
- -c) 2.325E+01 V
- -d) 2.557E+01 V
- -e) 2.813E+01 V

_{1}=18.6 V, and ε

_{2}=5.63 V are oriented as shownin the circuit. The resistances are R

_{1}=3.9 kΩ and R

_{2}=1.1 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=3.41 mA and I

_{4}=0.614 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- -a) 4.342E+00 V
- -b) 4.776E+00 V
- -c) 5.254E+00 V
- +d) 5.779E+00 V
- -e) 6.357E+00 V

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#### Key: Z2[edit | edit source]

1) Two sources of emf ε_{1}=54.9 V, and ε

_{2}=19.8 V are oriented as shownin the circuit. The resistances are R

_{1}=3.93 kΩ and R

_{2}=1.31 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=9.18 mA and I

_{4}=1.83 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- +a) 1.779E+01 V
- -b) 1.957E+01 V
- -c) 2.153E+01 V
- -d) 2.368E+01 V
- -e) 2.605E+01 V

_{1}=21.0 V, and ε

_{2}=8.72 V are oriented as shownin the circuit. The resistances are R

_{1}=3.12 kΩ and R

_{2}=1.15 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=4.41 mA and I

_{4}=0.816 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- +a) 5.267E+00 V
- -b) 5.794E+00 V
- -c) 6.373E+00 V
- -d) 7.011E+00 V
- -e) 7.712E+00 V

- -a) 1.385E+01 s
- +b) 1.524E+01 s
- -c) 1.676E+01 s
- -d) 1.844E+01 s
- -e) 2.028E+01 s

_{1}= 2.41 Ω, R

_{2}= 1.74 Ω, and R

_{2}= 3.35 Ω. V

_{1}and V

_{3}are text 0.508 V and 1.36 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.595 V. What is the absolute value of the current through R

_{1}?

- -a) 1.203E-01 A
- -b) 1.324E-01 A
- +c) 1.456E-01 A
- -d) 1.602E-01 A
- -e) 1.762E-01 A

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