# 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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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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- of 10 blank lines to separate exams from keys
- of 10 blank lines to separate exams from keys
- of 10 blank lines to separate exams from keys

### Key: A0[edit]

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

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#### Key: A1[edit]

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

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#### Key: A2[edit]

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]

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]

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]

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]

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

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#### Key: C1[edit]

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]

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]

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

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#### Key: D1[edit]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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

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#### Key: I1[edit]

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]

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]

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

Click these links for the keys:

#### Key: J1[edit]

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

Click these links for the keys:

#### Key: J2[edit]

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

Click these links for the keys:

### Key: K0[edit]

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]

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]

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]

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]

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]

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]

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]

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

Click these links for the keys:

#### Key: M2[edit]

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

Click these links for the keys:

### Key: N0[edit]

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

Click these links for the keys:

#### Key: N1[edit]

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]

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]

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

Click these links for the keys:

#### Key: O1[edit]

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]

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

Click these links for the keys:

### Key: P0[edit]

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

Click these links for the keys:

#### Key: P1[edit]

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

Click these links for the keys:

#### Key: P2[edit]

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

Click these links for the keys:

### Key: Q0[edit]

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

Click these links for the keys:

#### Key: Q1[edit]

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]

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

Click these links for the keys:

### Key: R0[edit]

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

Click these links for the keys:

#### Key: R1[edit]

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]

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]

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

Click these links for the keys:

#### Key: S1[edit]

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]

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

Click these links for the keys:

### Key: T0[edit]

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]

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

Click these links for the keys:

#### Key: T2[edit]

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]

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]

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

Click these links for the keys:

#### Key: U2[edit]

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]

- -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]

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]

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]

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]

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]

_{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]

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]

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]

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]

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]

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]

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]

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]

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]

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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