# Quizbank/Electricity and Magnetism (calculus based)/c15

calcPhyEMq/c15 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.*

### c15 A0[edit]

1) An ac generator produces an emf of amplitude 24 V at a frequency of 120 Hz. What is the maximum amplitude of the current if the generator is connected to a 96 mF inductor?

- a) 3.014E-01 A
- b) 3.316E-01 A
- c) 3.647E-01 A
- d) 4.012E-01 A
- e) 4.413E-01 A

2) A step-down transformer steps 16 kV down to 210 V. The high-voltage input is provided by a 200 Ω power line that carries 7 A of currentWhat is the output current (at the 210 V side ?)

- a) 4.007E+02 A
- b) 4.408E+02 A
- c) 4.848E+02 A
- d) 5.333E+02 A
- e) 5.867E+02 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 810 Hz and an amplitude of 0.64 V;. If R =6 Ω, L= 8.70E-03H , and C=8.20E-04 F, what is the impedance?

- a) 4.444E+01 Ω
- b) 4.889E+01 Ω
- c) 5.378E+01 Ω
- d) 5.916E+01 Ω
- e) 6.507E+01 Ω

4) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.64 V. The resistance, inductance, and capacitance are R =2 Ω, L= 4.00E-03H , and C=8.30E-04 F, respectively. What is the amplitude of the current?

- a) 3.200E-01 A
- b) 3.520E-01 A
- c) 3.872E-01 A
- d) 4.259E-01 A
- e) 4.685E-01 A

#### c15 A1[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 470 Hz and an amplitude of 0.67 V;. If R =4 Ω, L= 2.40E-03H , and C=5.10E-04 F, what is the impedance?

- a) 6.254E+00 Ω
- b) 6.879E+00 Ω
- c) 7.567E+00 Ω
- d) 8.324E+00 Ω
- e) 9.156E+00 Ω

2) A step-down transformer steps 15 kV down to 240 V. The high-voltage input is provided by a 120 Ω power line that carries 3 A of currentWhat is the output current (at the 240 V side ?)

- a) 1.550E+02 A
- b) 1.705E+02 A
- c) 1.875E+02 A
- d) 2.063E+02 A
- e) 2.269E+02 A

3) An ac generator produces an emf of amplitude 3 V at a frequency of 130 Hz. What is the maximum amplitude of the current if the generator is connected to a 75 mF inductor?

- a) 3.679E-02 A
- b) 4.047E-02 A
- c) 4.452E-02 A
- d) 4.897E-02 A
- e) 5.387E-02 A

4) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.16 V. The resistance, inductance, and capacitance are R =8 Ω, L= 5.40E-03H , and C=5.40E-04 F, respectively. What is the amplitude of the current?

- a) 2.000E-02 A
- b) 2.200E-02 A
- c) 2.420E-02 A
- d) 2.662E-02 A
- e) 2.928E-02 A

#### c15 A2[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 900 Hz and an amplitude of 0.43 V;. If R =7 Ω, L= 5.60E-03H , and C=6.30E-04 F, what is the impedance?

- a) 2.658E+01 Ω
- b) 2.923E+01 Ω
- c) 3.216E+01 Ω
- d) 3.537E+01 Ω
- e) 3.891E+01 Ω

2) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.77 V. The resistance, inductance, and capacitance are R =3 Ω, L= 6.70E-03H , and C=7.10E-04 F, respectively. What is the amplitude of the current?

- a) 2.333E-01 A
- b) 2.567E-01 A
- c) 2.823E-01 A
- d) 3.106E-01 A
- e) 3.416E-01 A

3) A step-down transformer steps 19 kV down to 220 V. The high-voltage input is provided by a 230 Ω power line that carries 5 A of currentWhat is the output current (at the 220 V side ?)

- a) 3.244E+02 A
- b) 3.569E+02 A
- c) 3.926E+02 A
- d) 4.318E+02 A
- e) 4.750E+02 A

4) An ac generator produces an emf of amplitude 60 V at a frequency of 130 Hz. What is the maximum amplitude of the current if the generator is connected to a 85 mF inductor?

- a) 7.856E-01 A
- b) 8.642E-01 A
- c) 9.506E-01 A
- d) 1.046E+00 A
- e) 1.150E+00 A

### c15 B0[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 2.30E+04 Hz and an amplitude of 7 V. If R =3 Ω, L= 4.10E-03H , and C=8.70E-06 F, what is the rms power transferred to the resistor?

- a) 8.369E-03 Watts
- b) 9.206E-03 Watts
- c) 1.013E-02 Watts
- d) 1.114E-02 Watts
- e) 1.225E-02 Watts

2) An ac generator produces an emf of amplitude 24 V at a frequency of 120 Hz. What is the maximum amplitude of the current if the generator is connected to a 96 mF inductor?

- a) 3.014E-01 A
- b) 3.316E-01 A
- c) 3.647E-01 A
- d) 4.012E-01 A
- e) 4.413E-01 A

3) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=1 V. The resistance, inductance, and capacitance are R =0.2 Ω, L= 4.30E-03H , and C=3.20E-06 F, respectively.

- a) Q = 1.048E+02
- b) Q = 1.205E+02
- c) Q = 1.386E+02
- d) Q = 1.594E+02
- e) Q = 1.833E+02

4) The output of an ac generator connected to an RLC series combination has a frequency of 760 Hz and an amplitude of 0.43 V;. If R =7 Ω, L= 7.40E-03H , and C=6.00E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 9.380E-01 &rad;
- b) 1.032E+00 &rad;
- c) 1.135E+00 &rad;
- d) 1.248E+00 &rad;
- e) 1.373E+00 &rad;

#### c15 B1[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 760 Hz and an amplitude of 0.43 V;. If R =7 Ω, L= 7.40E-03H , and C=6.00E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 9.380E-01 &rad;
- b) 1.032E+00 &rad;
- c) 1.135E+00 &rad;
- d) 1.248E+00 &rad;
- e) 1.373E+00 &rad;

2) An ac generator produces an emf of amplitude 69 V at a frequency of 180 Hz. What is the maximum amplitude of the current if the generator is connected to a 57 mF inductor?

- a) 1.070E+00 A
- b) 1.177E+00 A
- c) 1.295E+00 A
- d) 1.425E+00 A
- e) 1.567E+00 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 7.60E+04 Hz and an amplitude of 5 V. If R =6 Ω, L= 3.70E-03H , and C=5.80E-06 F, what is the rms power transferred to the resistor?

- a) 7.239E-04 Watts
- b) 7.963E-04 Watts
- c) 8.759E-04 Watts
- d) 9.635E-04 Watts
- e) 1.060E-03 Watts

4) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=4 V. The resistance, inductance, and capacitance are R =0.25 Ω, L= 4.80E-03H , and C=2.60E-06 F, respectively.

- a) Q = 1.300E+02
- b) Q = 1.495E+02
- c) Q = 1.719E+02
- d) Q = 1.976E+02
- e) Q = 2.273E+02

#### c15 B2[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 8.00E+04 Hz and an amplitude of 2 V. If R =7 Ω, L= 4.60E-03H , and C=5.30E-06 F, what is the rms power transferred to the resistor?

- a) 1.047E-04 Watts
- b) 1.151E-04 Watts
- c) 1.267E-04 Watts
- d) 1.393E-04 Watts
- e) 1.533E-04 Watts

2) The output of an ac generator connected to an RLC series combination has a frequency of 200 Hz and an amplitude of 0.14 V;. If R =3 Ω, L= 1.70E-03H , and C=9.40E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 3.691E-01 &rad;
- b) 4.060E-01 &rad;
- c) 4.466E-01 &rad;
- d) 4.913E-01 &rad;
- e) 5.404E-01 &rad;

3) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=1 V. The resistance, inductance, and capacitance are R =0.2 Ω, L= 4.30E-03H , and C=3.20E-06 F, respectively.

- a) Q = 1.048E+02
- b) Q = 1.205E+02
- c) Q = 1.386E+02
- d) Q = 1.594E+02
- e) Q = 1.833E+02

4) An ac generator produces an emf of amplitude 70 V at a frequency of 63 Hz. What is the maximum amplitude of the current if the generator is connected to a 34 mF inductor?

- a) 3.908E+00 A
- b) 4.298E+00 A
- c) 4.728E+00 A
- d) 5.201E+00 A
- e) 5.721E+00 A

### c15 C0[edit]

1) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.31 V. The resistance, inductance, and capacitance are R =5 Ω, L= 9.00E-03H , and C=5.10E-04 F, respectively. What is the amplitude of the current?

- a) 4.235E-02 A
- b) 4.658E-02 A
- c) 5.124E-02 A
- d) 5.636E-02 A
- e) 6.200E-02 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 6.10E+04 Hz and an amplitude of 8 V. If R =5 Ω, L= 9.10E-03H , and C=8.80E-06 F, what is the rms power transferred to the resistor?

- a) 4.320E-04 Watts
- b) 4.752E-04 Watts
- c) 5.227E-04 Watts
- d) 5.750E-04 Watts
- e) 6.325E-04 Watts

3) An ac generator produces an emf of amplitude 17 V at a frequency of 120 Hz. What is the maximum amplitude of the current if the generator is connected to a 6 mF capacitor?

- a) 5.253E-02 A
- b) 5.778E-02 A
- c) 6.356E-02 A
- d) 6.991E-02 A
- e) 7.691E-02 A

4) The output of an ac generator connected to an RLC series combination has a frequency of 370 Hz and an amplitude of 0.14 V;. If R =3 Ω, L= 5.30E-03H , and C=5.50E-04 F, what is the impedance?

- a) 8.958E+00 Ω
- b) 9.854E+00 Ω
- c) 1.084E+01 Ω
- d) 1.192E+01 Ω
- e) 1.312E+01 Ω

#### c15 C1[edit]

1) An ac generator produces an emf of amplitude 93 V at a frequency of 160 Hz. What is the maximum amplitude of the current if the generator is connected to a 70 mF capacitor?

- a) 4.917E+00 A
- b) 5.409E+00 A
- c) 5.950E+00 A
- d) 6.545E+00 A
- e) 7.199E+00 A

2) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.62 V. The resistance, inductance, and capacitance are R =6 Ω, L= 8.10E-03H , and C=6.40E-04 F, respectively. What is the amplitude of the current?

- a) 7.058E-02 A
- b) 7.764E-02 A
- c) 8.540E-02 A
- d) 9.394E-02 A
- e) 1.033E-01 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 740 Hz and an amplitude of 0.66 V;. If R =3 Ω, L= 2.40E-03H , and C=5.70E-04 F, what is the impedance?

- a) 1.119E+01 Ω
- b) 1.231E+01 Ω
- c) 1.354E+01 Ω
- d) 1.490E+01 Ω
- e) 1.639E+01 Ω

4) The output of an ac generator connected to an RLC series combination has a frequency of 6.00E+04 Hz and an amplitude of 2 V. If R =3 Ω, L= 7.20E-03H , and C=6.50E-06 F, what is the rms power transferred to the resistor?

- a) 2.222E-05 Watts
- b) 2.444E-05 Watts
- c) 2.689E-05 Watts
- d) 2.958E-05 Watts
- e) 3.253E-05 Watts

#### c15 C2[edit]

1) An ac generator produces an emf of amplitude 53 V at a frequency of 190 Hz. What is the maximum amplitude of the current if the generator is connected to a 85 mF capacitor?

- a) 4.445E+00 A
- b) 4.889E+00 A
- c) 5.378E+00 A
- d) 5.916E+00 A
- e) 6.507E+00 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 1.00E+03 Hz and an amplitude of 0.6 V;. If R =3 Ω, L= 1.70E-03H , and C=5.40E-04 F, what is the impedance?

- a) 8.123E+00 Ω
- b) 8.935E+00 Ω
- c) 9.828E+00 Ω
- d) 1.081E+01 Ω
- e) 1.189E+01 Ω

3) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.88 V. The resistance, inductance, and capacitance are R =7 Ω, L= 8.00E-03H , and C=5.50E-04 F, respectively. What is the amplitude of the current?

- a) 1.143E-01 A
- b) 1.257E-01 A
- c) 1.383E-01 A
- d) 1.521E-01 A
- e) 1.673E-01 A

4) The output of an ac generator connected to an RLC series combination has a frequency of 6.10E+04 Hz and an amplitude of 8 V. If R =5 Ω, L= 9.10E-03H , and C=8.80E-06 F, what is the rms power transferred to the resistor?

- a) 4.320E-04 Watts
- b) 4.752E-04 Watts
- c) 5.227E-04 Watts
- d) 5.750E-04 Watts
- e) 6.325E-04 Watts

### c15 D0[edit]

1) A step-down transformer steps 8 kV down to 220 V. The high-voltage input is provided by a 110 Ω power line that carries 8 A of currentWhat is the output current (at the 220 V side ?)

- a) 2.404E+02 A
- b) 2.645E+02 A
- c) 2.909E+02 A
- d) 3.200E+02 A
- e) 3.520E+02 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 2.70E+04 Hz and an amplitude of 8 V. If R =4 Ω, L= 9.10E-03H , and C=9.60E-06 F, what is the rms power transferred to the resistor?

- a) 2.188E-03 Watts
- b) 2.407E-03 Watts
- c) 2.647E-03 Watts
- d) 2.912E-03 Watts
- e) 3.203E-03 Watts

3) An ac generator produces an emf of amplitude 76 V at a frequency of 180 Hz. What is the maximum amplitude of the current if the generator is connected to a 14 mF inductor?

- a) 3.606E+00 A
- b) 3.967E+00 A
- c) 4.364E+00 A
- d) 4.800E+00 A
- e) 5.280E+00 A

4) The output of an ac generator connected to an RLC series combination has a frequency of 760 Hz and an amplitude of 0.18 V;. If R =6 Ω, L= 7.50E-03H , and C=7.50E-04 F, what is the impedance?

- a) 2.708E+01 Ω
- b) 2.978E+01 Ω
- c) 3.276E+01 Ω
- d) 3.604E+01 Ω
- e) 3.964E+01 Ω

#### c15 D1[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 6.10E+04 Hz and an amplitude of 8 V. If R =5 Ω, L= 9.10E-03H , and C=8.80E-06 F, what is the rms power transferred to the resistor?

- a) 4.320E-04 Watts
- b) 4.752E-04 Watts
- c) 5.227E-04 Watts
- d) 5.750E-04 Watts
- e) 6.325E-04 Watts

2) An ac generator produces an emf of amplitude 37 V at a frequency of 100 Hz. What is the maximum amplitude of the current if the generator is connected to a 86 mF inductor?

- a) 4.677E-01 A
- b) 5.145E-01 A
- c) 5.659E-01 A
- d) 6.225E-01 A
- e) 6.847E-01 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 370 Hz and an amplitude of 0.14 V;. If R =3 Ω, L= 5.30E-03H , and C=5.50E-04 F, what is the impedance?

- a) 8.958E+00 Ω
- b) 9.854E+00 Ω
- c) 1.084E+01 Ω
- d) 1.192E+01 Ω
- e) 1.312E+01 Ω

4) A step-down transformer steps 6 kV down to 190 V. The high-voltage input is provided by a 130 Ω power line that carries 6 A of currentWhat is the output current (at the 190 V side ?)

- a) 1.424E+02 A
- b) 1.566E+02 A
- c) 1.722E+02 A
- d) 1.895E+02 A
- e) 2.084E+02 A

#### c15 D2[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 5.00E+04 Hz and an amplitude of 5 V. If R =6 Ω, L= 2.50E-03H , and C=5.20E-06 F, what is the rms power transferred to the resistor?

- a) 5.097E-03 Watts
- b) 5.607E-03 Watts
- c) 6.167E-03 Watts
- d) 6.784E-03 Watts
- e) 7.463E-03 Watts

2) A step-down transformer steps 9 kV down to 210 V. The high-voltage input is provided by a 170 Ω power line that carries 5 A of currentWhat is the output current (at the 210 V side ?)

- a) 1.948E+02 A
- b) 2.143E+02 A
- c) 2.357E+02 A
- d) 2.593E+02 A
- e) 2.852E+02 A

3) An ac generator produces an emf of amplitude 37 V at a frequency of 100 Hz. What is the maximum amplitude of the current if the generator is connected to a 86 mF inductor?

- a) 4.677E-01 A
- b) 5.145E-01 A
- c) 5.659E-01 A
- d) 6.225E-01 A
- e) 6.847E-01 A

4) The output of an ac generator connected to an RLC series combination has a frequency of 490 Hz and an amplitude of 0.68 V;. If R =9 Ω, L= 5.80E-03H , and C=9.50E-04 F, what is the impedance?

- a) 1.969E+01 Ω
- b) 2.166E+01 Ω
- c) 2.383E+01 Ω
- d) 2.621E+01 Ω
- e) 2.883E+01 Ω

### c15 E0[edit]

1) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.8 V. The resistance, inductance, and capacitance are R =7 Ω, L= 4.90E-03H , and C=8.50E-04 F, respectively. What is the amplitude of the current?

- a) 1.039E-01 A
- b) 1.143E-01 A
- c) 1.257E-01 A
- d) 1.383E-01 A
- e) 1.521E-01 A

2) A step-down transformer steps 12 kV down to 170 V. The high-voltage input is provided by a 140 Ω power line that carries 9 A of currentWhat is the output current (at the 170 V side ?)

- a) 4.773E+02 A
- b) 5.250E+02 A
- c) 5.775E+02 A
- d) 6.353E+02 A
- e) 6.988E+02 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 470 Hz and an amplitude of 0.67 V;. If R =4 Ω, L= 2.40E-03H , and C=5.10E-04 F, what is the impedance?

- a) 6.254E+00 Ω
- b) 6.879E+00 Ω
- c) 7.567E+00 Ω
- d) 8.324E+00 Ω
- e) 9.156E+00 Ω

4) An ac generator produces an emf of amplitude 85 V at a frequency of 160 Hz. What is the maximum amplitude of the current if the generator is connected to a 59 mF capacitor?

- a) 5.042E+00 A
- b) 5.546E+00 A
- c) 6.100E+00 A
- d) 6.710E+00 A
- e) 7.381E+00 A

#### c15 E1[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 690 Hz and an amplitude of 0.4 V;. If R =3 Ω, L= 3.00E-03H , and C=8.30E-04 F, what is the impedance?

- a) 1.308E+01 Ω
- b) 1.438E+01 Ω
- c) 1.582E+01 Ω
- d) 1.741E+01 Ω
- e) 1.915E+01 Ω

2) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.83 V. The resistance, inductance, and capacitance are R =9 Ω, L= 8.50E-03H , and C=7.20E-04 F, respectively. What is the amplitude of the current?

- a) 8.384E-02 A
- b) 9.222E-02 A
- c) 1.014E-01 A
- d) 1.116E-01 A
- e) 1.227E-01 A

3) An ac generator produces an emf of amplitude 93 V at a frequency of 160 Hz. What is the maximum amplitude of the current if the generator is connected to a 70 mF capacitor?

- a) 4.917E+00 A
- b) 5.409E+00 A
- c) 5.950E+00 A
- d) 6.545E+00 A
- e) 7.199E+00 A

4) A step-down transformer steps 18 kV down to 260 V. The high-voltage input is provided by a 290 Ω power line that carries 3 A of currentWhat is the output current (at the 260 V side ?)

- a) 1.888E+02 A
- b) 2.077E+02 A
- c) 2.285E+02 A
- d) 2.513E+02 A
- e) 2.764E+02 A

#### c15 E2[edit]

1) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.25 V. The resistance, inductance, and capacitance are R =7 Ω, L= 5.00E-03H , and C=7.70E-04 F, respectively. What is the amplitude of the current?

- a) 2.439E-02 A
- b) 2.683E-02 A
- c) 2.952E-02 A
- d) 3.247E-02 A
- e) 3.571E-02 A

2) An ac generator produces an emf of amplitude 71 V at a frequency of 68 Hz. What is the maximum amplitude of the current if the generator is connected to a 35 mF capacitor?

- a) 7.252E-01 A
- b) 7.977E-01 A
- c) 8.775E-01 A
- d) 9.652E-01 A
- e) 1.062E+00 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 290 Hz and an amplitude of 0.75 V;. If R =2 Ω, L= 8.00E-03H , and C=9.90E-04 F, what is the impedance?

- a) 9.675E+00 Ω
- b) 1.064E+01 Ω
- c) 1.171E+01 Ω
- d) 1.288E+01 Ω
- e) 1.416E+01 Ω

4) A step-down transformer steps 19 kV down to 260 V. The high-voltage input is provided by a 290 Ω power line that carries 6 A of currentWhat is the output current (at the 260 V side ?)

- a) 3.294E+02 A
- b) 3.624E+02 A
- c) 3.986E+02 A
- d) 4.385E+02 A
- e) 4.823E+02 A

### c15 F0[edit]

1) A step-down transformer steps 18 kV down to 170 V. The high-voltage input is provided by a 230 Ω power line that carries 5 A of currentWhat is the output current (at the 170 V side ?)

- a) 4.375E+02 A
- b) 4.813E+02 A
- c) 5.294E+02 A
- d) 5.824E+02 A
- e) 6.406E+02 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 5.40E+04 Hz and an amplitude of 6 V. If R =2 Ω, L= 6.80E-03H , and C=9.90E-06 F, what is the rms power transferred to the resistor?

- a) 2.452E-04 Watts
- b) 2.697E-04 Watts
- c) 2.967E-04 Watts
- d) 3.264E-04 Watts
- e) 3.590E-04 Watts

3) An ac generator produces an emf of amplitude 46 V at a frequency of 160 Hz. What is the maximum amplitude of the current if the generator is connected to a 63 mF inductor?

- a) 4.961E-01 A
- b) 5.457E-01 A
- c) 6.002E-01 A
- d) 6.603E-01 A
- e) 7.263E-01 A

4) The output of an ac generator connected to an RLC series combination has a frequency of 290 Hz and an amplitude of 0.75 V;. If R =2 Ω, L= 8.00E-03H , and C=9.90E-04 F, what is the impedance?

- a) 9.675E+00 Ω
- b) 1.064E+01 Ω
- c) 1.171E+01 Ω
- d) 1.288E+01 Ω
- e) 1.416E+01 Ω

#### c15 F1[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 3.60E+04 Hz and an amplitude of 9 V. If R =2 Ω, L= 7.60E-03H , and C=7.50E-06 F, what is the rms power transferred to the resistor?

- a) 1.011E-03 Watts
- b) 1.112E-03 Watts
- c) 1.223E-03 Watts
- d) 1.345E-03 Watts
- e) 1.480E-03 Watts

2) The output of an ac generator connected to an RLC series combination has a frequency of 650 Hz and an amplitude of 0.3 V;. If R =3 Ω, L= 4.90E-03H , and C=8.20E-04 F, what is the impedance?

- a) 1.813E+01 Ω
- b) 1.994E+01 Ω
- c) 2.193E+01 Ω
- d) 2.413E+01 Ω
- e) 2.654E+01 Ω

3) An ac generator produces an emf of amplitude 70 V at a frequency of 63 Hz. What is the maximum amplitude of the current if the generator is connected to a 34 mF inductor?

- a) 3.908E+00 A
- b) 4.298E+00 A
- c) 4.728E+00 A
- d) 5.201E+00 A
- e) 5.721E+00 A

4) A step-down transformer steps 18 kV down to 170 V. The high-voltage input is provided by a 230 Ω power line that carries 5 A of currentWhat is the output current (at the 170 V side ?)

- a) 4.375E+02 A
- b) 4.813E+02 A
- c) 5.294E+02 A
- d) 5.824E+02 A
- e) 6.406E+02 A

#### c15 F2[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 1.00E+03 Hz and an amplitude of 0.6 V;. If R =3 Ω, L= 1.70E-03H , and C=5.40E-04 F, what is the impedance?

- a) 8.123E+00 Ω
- b) 8.935E+00 Ω
- c) 9.828E+00 Ω
- d) 1.081E+01 Ω
- e) 1.189E+01 Ω

2) An ac generator produces an emf of amplitude 24 V at a frequency of 120 Hz. What is the maximum amplitude of the current if the generator is connected to a 96 mF inductor?

- a) 3.014E-01 A
- b) 3.316E-01 A
- c) 3.647E-01 A
- d) 4.012E-01 A
- e) 4.413E-01 A

3) A step-down transformer steps 7 kV down to 190 V. The high-voltage input is provided by a 240 Ω power line that carries 5 A of currentWhat is the output current (at the 190 V side ?)

- a) 1.675E+02 A
- b) 1.842E+02 A
- c) 2.026E+02 A
- d) 2.229E+02 A
- e) 2.452E+02 A

4) The output of an ac generator connected to an RLC series combination has a frequency of 2.70E+04 Hz and an amplitude of 8 V. If R =4 Ω, L= 9.10E-03H , and C=9.60E-06 F, what is the rms power transferred to the resistor?

- a) 2.188E-03 Watts
- b) 2.407E-03 Watts
- c) 2.647E-03 Watts
- d) 2.912E-03 Watts
- e) 3.203E-03 Watts

### c15 G0[edit]

1) A step-down transformer steps 18 kV down to 260 V. The high-voltage input is provided by a 290 Ω power line that carries 3 A of currentWhat is the output current (at the 260 V side ?)

- a) 1.888E+02 A
- b) 2.077E+02 A
- c) 2.285E+02 A
- d) 2.513E+02 A
- e) 2.764E+02 A

2) An ac generator produces an emf of amplitude 53 V at a frequency of 190 Hz. What is the maximum amplitude of the current if the generator is connected to a 85 mF capacitor?

- a) 4.445E+00 A
- b) 4.889E+00 A
- c) 5.378E+00 A
- d) 5.916E+00 A
- e) 6.507E+00 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 970 Hz and an amplitude of 0.11 V;. If R =9 Ω, L= 8.50E-03H , and C=7.00E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 1.398E+00 &rad;
- b) 1.538E+00 &rad;
- c) 1.692E+00 &rad;
- d) 1.861E+00 &rad;
- e) 2.047E+00 &rad;

4) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=5 V. The resistance, inductance, and capacitance are R =0.17 Ω, L= 4.40E-03H , and C=3.40E-06 F, respectively.

- a) Q = 1.391E+02
- b) Q = 1.600E+02
- c) Q = 1.840E+02
- d) Q = 2.116E+02
- e) Q = 2.434E+02

#### c15 G1[edit]

1) A step-down transformer steps 12 kV down to 170 V. The high-voltage input is provided by a 140 Ω power line that carries 9 A of currentWhat is the output current (at the 170 V side ?)

- a) 4.773E+02 A
- b) 5.250E+02 A
- c) 5.775E+02 A
- d) 6.353E+02 A
- e) 6.988E+02 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 890 Hz and an amplitude of 0.58 V;. If R =9 Ω, L= 2.90E-03H , and C=8.30E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 7.952E-01 &rad;
- b) 8.747E-01 &rad;
- c) 9.622E-01 &rad;
- d) 1.058E+00 &rad;
- e) 1.164E+00 &rad;

3) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=1 V. The resistance, inductance, and capacitance are R =0.2 Ω, L= 4.30E-03H , and C=3.20E-06 F, respectively.

- a) Q = 1.048E+02
- b) Q = 1.205E+02
- c) Q = 1.386E+02
- d) Q = 1.594E+02
- e) Q = 1.833E+02

4) An ac generator produces an emf of amplitude 32 V at a frequency of 120 Hz. What is the maximum amplitude of the current if the generator is connected to a 14 mF capacitor?

- a) 3.378E-01 A
- b) 3.716E-01 A
- c) 4.087E-01 A
- d) 4.496E-01 A
- e) 4.945E-01 A

#### c15 G2[edit]

1) An ac generator produces an emf of amplitude 7 V at a frequency of 95 Hz. What is the maximum amplitude of the current if the generator is connected to a 50 mF capacitor?

- a) 1.427E-01 A
- b) 1.570E-01 A
- c) 1.727E-01 A
- d) 1.899E-01 A
- e) 2.089E-01 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 200 Hz and an amplitude of 0.14 V;. If R =3 Ω, L= 1.70E-03H , and C=9.40E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 3.691E-01 &rad;
- b) 4.060E-01 &rad;
- c) 4.466E-01 &rad;
- d) 4.913E-01 &rad;
- e) 5.404E-01 &rad;

3) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=2 V. The resistance, inductance, and capacitance are R =0.25 Ω, L= 4.20E-03H , and C=2.70E-06 F, respectively.

- a) Q = 1.372E+02
- b) Q = 1.578E+02
- c) Q = 1.814E+02
- d) Q = 2.086E+02
- e) Q = 2.399E+02

4) A step-down transformer steps 18 kV down to 170 V. The high-voltage input is provided by a 240 Ω power line that carries 5 A of currentWhat is the output current (at the 170 V side ?)

- a) 5.294E+02 A
- b) 5.824E+02 A
- c) 6.406E+02 A
- d) 7.046E+02 A
- e) 7.751E+02 A

### c15 H0[edit]

1) An ac generator produces an emf of amplitude 73 V at a frequency of 110 Hz. What is the maximum amplitude of the current if the generator is connected to a 70 mF inductor?

- a) 1.134E+00 A
- b) 1.247E+00 A
- c) 1.372E+00 A
- d) 1.509E+00 A
- e) 1.660E+00 A

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=5 V. The resistance, inductance, and capacitance are R =0.27 Ω, L= 4.30E-03H , and C=2.20E-06 F, respectively.

- a) Q = 1.238E+02
- b) Q = 1.424E+02
- c) Q = 1.637E+02
- d) Q = 1.883E+02
- e) Q = 2.165E+02

3) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.83 V. The resistance, inductance, and capacitance are R =9 Ω, L= 8.50E-03H , and C=7.20E-04 F, respectively. What is the amplitude of the current?

- a) 8.384E-02 A
- b) 9.222E-02 A
- c) 1.014E-01 A
- d) 1.116E-01 A
- e) 1.227E-01 A

4) The output of an ac generator connected to an RLC series combination has a frequency of 840 Hz and an amplitude of 0.55 V;. If R =4 Ω, L= 9.30E-03H , and C=9.40E-04 F, what is the impedance?

- a) 3.685E+01 Ω
- b) 4.053E+01 Ω
- c) 4.459E+01 Ω
- d) 4.905E+01 Ω
- e) 5.395E+01 Ω

#### c15 H1[edit]

1) An ac generator produces an emf of amplitude 76 V at a frequency of 180 Hz. What is the maximum amplitude of the current if the generator is connected to a 14 mF inductor?

- a) 3.606E+00 A
- b) 3.967E+00 A
- c) 4.364E+00 A
- d) 4.800E+00 A
- e) 5.280E+00 A

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=5 V. The resistance, inductance, and capacitance are R =0.21 Ω, L= 5.40E-03H , and C=3.20E-06 F, respectively.

- a) Q = 1.286E+02
- b) Q = 1.479E+02
- c) Q = 1.701E+02
- d) Q = 1.956E+02
- e) Q = 2.250E+02

3) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.77 V. The resistance, inductance, and capacitance are R =3 Ω, L= 6.70E-03H , and C=7.10E-04 F, respectively. What is the amplitude of the current?

- a) 2.333E-01 A
- b) 2.567E-01 A
- c) 2.823E-01 A
- d) 3.106E-01 A
- e) 3.416E-01 A

4) The output of an ac generator connected to an RLC series combination has a frequency of 420 Hz and an amplitude of 0.73 V;. If R =2 Ω, L= 9.60E-03H , and C=7.80E-04 F, what is the impedance?

- a) 2.060E+01 Ω
- b) 2.266E+01 Ω
- c) 2.493E+01 Ω
- d) 2.742E+01 Ω
- e) 3.016E+01 Ω

#### c15 H2[edit]

1) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=3 V. The resistance, inductance, and capacitance are R =0.21 Ω, L= 4.70E-03H , and C=3.70E-06 F, respectively.

- a) Q = 1.476E+02
- b) Q = 1.697E+02
- c) Q = 1.952E+02
- d) Q = 2.245E+02
- e) Q = 2.581E+02

2) An ac generator produces an emf of amplitude 97 V at a frequency of 64 Hz. What is the maximum amplitude of the current if the generator is connected to a 55 mF inductor?

- a) 4.386E+00 A
- b) 4.824E+00 A
- c) 5.307E+00 A
- d) 5.838E+00 A
- e) 6.421E+00 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 740 Hz and an amplitude of 0.66 V;. If R =3 Ω, L= 2.40E-03H , and C=5.70E-04 F, what is the impedance?

- a) 1.119E+01 Ω
- b) 1.231E+01 Ω
- c) 1.354E+01 Ω
- d) 1.490E+01 Ω
- e) 1.639E+01 Ω

4) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.44 V. The resistance, inductance, and capacitance are R =7 Ω, L= 5.40E-03H , and C=5.70E-04 F, respectively. What is the amplitude of the current?

- a) 4.723E-02 A
- b) 5.195E-02 A
- c) 5.714E-02 A
- d) 6.286E-02 A
- e) 6.914E-02 A

### c15 I0[edit]

1) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=4 V. The resistance, inductance, and capacitance are R =0.2 Ω, L= 4.90E-03H , and C=2.10E-06 F, respectively.

- a) Q = 1.381E+02
- b) Q = 1.588E+02
- c) Q = 1.826E+02
- d) Q = 2.100E+02
- e) Q = 2.415E+02

2) An ac generator produces an emf of amplitude 66 V at a frequency of 180 Hz. What is the maximum amplitude of the current if the generator is connected to a 97 mF inductor?

- a) 4.972E-01 A
- b) 5.469E-01 A
- c) 6.016E-01 A
- d) 6.618E-01 A
- e) 7.280E-01 A

3) A step-down transformer steps 15 kV down to 240 V. The high-voltage input is provided by a 120 Ω power line that carries 3 A of currentWhat is the output current (at the 240 V side ?)

- a) 1.550E+02 A
- b) 1.705E+02 A
- c) 1.875E+02 A
- d) 2.063E+02 A
- e) 2.269E+02 A

4) An ac generator produces an emf of amplitude 98 V at a frequency of 110 Hz. What is the maximum amplitude of the current if the generator is connected to a 2 mF capacitor?

- a) 1.232E-01 A
- b) 1.355E-01 A
- c) 1.490E-01 A
- d) 1.639E-01 A
- e) 1.803E-01 A

#### c15 I1[edit]

1) A step-down transformer steps 18 kV down to 170 V. The high-voltage input is provided by a 230 Ω power line that carries 5 A of currentWhat is the output current (at the 170 V side ?)

- a) 4.375E+02 A
- b) 4.813E+02 A
- c) 5.294E+02 A
- d) 5.824E+02 A
- e) 6.406E+02 A

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=4 V. The resistance, inductance, and capacitance are R =0.2 Ω, L= 5.00E-03H , and C=3.20E-06 F, respectively.

- a) Q = 1.300E+02
- b) Q = 1.494E+02
- c) Q = 1.719E+02
- d) Q = 1.976E+02
- e) Q = 2.273E+02

3) An ac generator produces an emf of amplitude 69 V at a frequency of 180 Hz. What is the maximum amplitude of the current if the generator is connected to a 57 mF inductor?

- a) 1.070E+00 A
- b) 1.177E+00 A
- c) 1.295E+00 A
- d) 1.425E+00 A
- e) 1.567E+00 A

4) An ac generator produces an emf of amplitude 50 V at a frequency of 47 Hz. What is the maximum amplitude of the current if the generator is connected to a 88 mF capacitor?

- a) 1.074E+00 A
- b) 1.181E+00 A
- c) 1.299E+00 A
- d) 1.429E+00 A
- e) 1.572E+00 A

#### c15 I2[edit]

1) An ac generator produces an emf of amplitude 76 V at a frequency of 180 Hz. What is the maximum amplitude of the current if the generator is connected to a 14 mF inductor?

- a) 3.606E+00 A
- b) 3.967E+00 A
- c) 4.364E+00 A
- d) 4.800E+00 A
- e) 5.280E+00 A

2) A step-down transformer steps 18 kV down to 230 V. The high-voltage input is provided by a 250 Ω power line that carries 8 A of currentWhat is the output current (at the 230 V side ?)

- a) 5.174E+02 A
- b) 5.692E+02 A
- c) 6.261E+02 A
- d) 6.887E+02 A
- e) 7.576E+02 A

3) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=3 V. The resistance, inductance, and capacitance are R =0.14 Ω, L= 5.20E-03H , and C=2.90E-06 F, respectively.

- a) Q = 2.287E+02
- b) Q = 2.630E+02
- c) Q = 3.025E+02
- d) Q = 3.478E+02
- e) Q = 4.000E+02

4) An ac generator produces an emf of amplitude 90 V at a frequency of 64 Hz. What is the maximum amplitude of the current if the generator is connected to a 16 mF capacitor?

- a) 4.351E-01 A
- b) 4.786E-01 A
- c) 5.264E-01 A
- d) 5.791E-01 A
- e) 6.370E-01 A

### c15 J0[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 280 Hz and an amplitude of 0.35 V;. If R =5 Ω, L= 9.50E-03H , and C=6.90E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 8.646E-01 &rad;
- b) 9.511E-01 &rad;
- c) 1.046E+00 &rad;
- d) 1.151E+00 &rad;
- e) 1.266E+00 &rad;

2) An ac generator produces an emf of amplitude 73 V at a frequency of 110 Hz. What is the maximum amplitude of the current if the generator is connected to a 70 mF inductor?

- a) 1.134E+00 A
- b) 1.247E+00 A
- c) 1.372E+00 A
- d) 1.509E+00 A
- e) 1.660E+00 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 5.40E+04 Hz and an amplitude of 6 V. If R =2 Ω, L= 6.80E-03H , and C=9.90E-06 F, what is the rms power transferred to the resistor?

- a) 2.452E-04 Watts
- b) 2.697E-04 Watts
- c) 2.967E-04 Watts
- d) 3.264E-04 Watts
- e) 3.590E-04 Watts

4) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.25 V. The resistance, inductance, and capacitance are R =3 Ω, L= 2.20E-03H , and C=6.30E-04 F, respectively. What is the amplitude of the current?

- a) 7.576E-02 A
- b) 8.333E-02 A
- c) 9.167E-02 A
- d) 1.008E-01 A
- e) 1.109E-01 A

#### c15 J1[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 5.40E+04 Hz and an amplitude of 6 V. If R =2 Ω, L= 6.80E-03H , and C=9.90E-06 F, what is the rms power transferred to the resistor?

- a) 2.452E-04 Watts
- b) 2.697E-04 Watts
- c) 2.967E-04 Watts
- d) 3.264E-04 Watts
- e) 3.590E-04 Watts

2) An ac generator produces an emf of amplitude 70 V at a frequency of 63 Hz. What is the maximum amplitude of the current if the generator is connected to a 34 mF inductor?

- a) 3.908E+00 A
- b) 4.298E+00 A
- c) 4.728E+00 A
- d) 5.201E+00 A
- e) 5.721E+00 A

3) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.64 V. The resistance, inductance, and capacitance are R =2 Ω, L= 4.00E-03H , and C=8.30E-04 F, respectively. What is the amplitude of the current?

- a) 3.200E-01 A
- b) 3.520E-01 A
- c) 3.872E-01 A
- d) 4.259E-01 A
- e) 4.685E-01 A

4) The output of an ac generator connected to an RLC series combination has a frequency of 830 Hz and an amplitude of 0.73 V;. If R =8 Ω, L= 2.80E-03H , and C=5.80E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 8.759E-01 &rad;
- b) 9.635E-01 &rad;
- c) 1.060E+00 &rad;
- d) 1.166E+00 &rad;
- e) 1.282E+00 &rad;

#### c15 J2[edit]

1) An ac generator produces an emf of amplitude 69 V at a frequency of 180 Hz. What is the maximum amplitude of the current if the generator is connected to a 57 mF inductor?

- a) 1.070E+00 A
- b) 1.177E+00 A
- c) 1.295E+00 A
- d) 1.425E+00 A
- e) 1.567E+00 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 160 Hz and an amplitude of 0.47 V;. If R =8 Ω, L= 1.30E-03H , and C=6.40E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 2.111E-02 &rad;
- b) 2.322E-02 &rad;
- c) 2.554E-02 &rad;
- d) 2.810E-02 &rad;
- e) 3.091E-02 &rad;

3) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.75 V. The resistance, inductance, and capacitance are R =5 Ω, L= 9.90E-03H , and C=6.80E-04 F, respectively. What is the amplitude of the current?

- a) 1.240E-01 A
- b) 1.364E-01 A
- c) 1.500E-01 A
- d) 1.650E-01 A
- e) 1.815E-01 A

4) The output of an ac generator connected to an RLC series combination has a frequency of 4.30E+04 Hz and an amplitude of 6 V. If R =6 Ω, L= 5.20E-03H , and C=8.60E-06 F, what is the rms power transferred to the resistor?

- a) 1.511E-03 Watts
- b) 1.662E-03 Watts
- c) 1.828E-03 Watts
- d) 2.011E-03 Watts
- e) 2.212E-03 Watts

### c15 K0[edit]

1) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=2 V. The resistance, inductance, and capacitance are R =0.25 Ω, L= 5.40E-03H , and C=3.20E-06 F, respectively.

- a) Q = 9.395E+01
- b) Q = 1.080E+02
- c) Q = 1.242E+02
- d) Q = 1.429E+02
- e) Q = 1.643E+02

2) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.62 V. The resistance, inductance, and capacitance are R =6 Ω, L= 8.10E-03H , and C=6.40E-04 F, respectively. What is the amplitude of the current?

- a) 7.058E-02 A
- b) 7.764E-02 A
- c) 8.540E-02 A
- d) 9.394E-02 A
- e) 1.033E-01 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 300 Hz and an amplitude of 0.76 V;. If R =5 Ω, L= 6.10E-03H , and C=5.80E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 7.714E-01 &rad;
- b) 8.486E-01 &rad;
- c) 9.334E-01 &rad;
- d) 1.027E+00 &rad;
- e) 1.129E+00 &rad;

4) An ac generator produces an emf of amplitude 97 V at a frequency of 64 Hz. What is the maximum amplitude of the current if the generator is connected to a 55 mF inductor?

- a) 4.386E+00 A
- b) 4.824E+00 A
- c) 5.307E+00 A
- d) 5.838E+00 A
- e) 6.421E+00 A

#### c15 K1[edit]

1) An ac generator produces an emf of amplitude 46 V at a frequency of 160 Hz. What is the maximum amplitude of the current if the generator is connected to a 63 mF inductor?

- a) 4.961E-01 A
- b) 5.457E-01 A
- c) 6.002E-01 A
- d) 6.603E-01 A
- e) 7.263E-01 A

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=3 V. The resistance, inductance, and capacitance are R =0.29 Ω, L= 4.80E-03H , and C=2.60E-06 F, respectively.

- a) Q = 1.288E+02
- b) Q = 1.482E+02
- c) Q = 1.704E+02
- d) Q = 1.959E+02
- e) Q = 2.253E+02

3) The output of an ac generator connected to an RLC series combination has a frequency of 200 Hz and an amplitude of 0.14 V;. If R =3 Ω, L= 1.70E-03H , and C=9.40E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 3.691E-01 &rad;
- b) 4.060E-01 &rad;
- c) 4.466E-01 &rad;
- d) 4.913E-01 &rad;
- e) 5.404E-01 &rad;

4) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.64 V. The resistance, inductance, and capacitance are R =2 Ω, L= 4.00E-03H , and C=8.30E-04 F, respectively. What is the amplitude of the current?

- a) 3.200E-01 A
- b) 3.520E-01 A
- c) 3.872E-01 A
- d) 4.259E-01 A
- e) 4.685E-01 A

#### c15 K2[edit]

1) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.64 V. The resistance, inductance, and capacitance are R =2 Ω, L= 4.00E-03H , and C=8.30E-04 F, respectively. What is the amplitude of the current?

- a) 3.200E-01 A
- b) 3.520E-01 A
- c) 3.872E-01 A
- d) 4.259E-01 A
- e) 4.685E-01 A

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=5 V. The resistance, inductance, and capacitance are R =0.21 Ω, L= 5.40E-03H , and C=3.20E-06 F, respectively.

- a) Q = 1.286E+02
- b) Q = 1.479E+02
- c) Q = 1.701E+02
- d) Q = 1.956E+02
- e) Q = 2.250E+02

3) The output of an ac generator connected to an RLC series combination has a frequency of 280 Hz and an amplitude of 0.35 V;. If R =5 Ω, L= 9.50E-03H , and C=6.90E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 8.646E-01 &rad;
- b) 9.511E-01 &rad;
- c) 1.046E+00 &rad;
- d) 1.151E+00 &rad;
- e) 1.266E+00 &rad;

4) An ac generator produces an emf of amplitude 5 V at a frequency of 52 Hz. What is the maximum amplitude of the current if the generator is connected to a 49 mF inductor?

- a) 2.839E-01 A
- b) 3.123E-01 A
- c) 3.435E-01 A
- d) 3.779E-01 A
- e) 4.157E-01 A

### c15 L0[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 160 Hz and an amplitude of 0.47 V;. If R =8 Ω, L= 1.30E-03H , and C=6.40E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 2.111E-02 &rad;
- b) 2.322E-02 &rad;
- c) 2.554E-02 &rad;
- d) 2.810E-02 &rad;
- e) 3.091E-02 &rad;

2) The output of an ac generator connected to an RLC series combination has a frequency of 4.00E+04 Hz and an amplitude of 8 V. If R =4 Ω, L= 7.00E-03H , and C=6.60E-06 F, what is the rms power transferred to the resistor?

- a) 1.146E-03 Watts
- b) 1.260E-03 Watts
- c) 1.386E-03 Watts
- d) 1.525E-03 Watts
- e) 1.677E-03 Watts

3) An ac generator produces an emf of amplitude 53 V at a frequency of 190 Hz. What is the maximum amplitude of the current if the generator is connected to a 85 mF capacitor?

- a) 4.445E+00 A
- b) 4.889E+00 A
- c) 5.378E+00 A
- d) 5.916E+00 A
- e) 6.507E+00 A

4) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.77 V. The resistance, inductance, and capacitance are R =3 Ω, L= 6.70E-03H , and C=7.10E-04 F, respectively. What is the amplitude of the current?

- a) 2.333E-01 A
- b) 2.567E-01 A
- c) 2.823E-01 A
- d) 3.106E-01 A
- e) 3.416E-01 A

#### c15 L1[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 760 Hz and an amplitude of 0.43 V;. If R =7 Ω, L= 7.40E-03H , and C=6.00E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 9.380E-01 &rad;
- b) 1.032E+00 &rad;
- c) 1.135E+00 &rad;
- d) 1.248E+00 &rad;
- e) 1.373E+00 &rad;

2) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.25 V. The resistance, inductance, and capacitance are R =7 Ω, L= 5.00E-03H , and C=7.70E-04 F, respectively. What is the amplitude of the current?

- a) 2.439E-02 A
- b) 2.683E-02 A
- c) 2.952E-02 A
- d) 3.247E-02 A
- e) 3.571E-02 A

3) An ac generator produces an emf of amplitude 8 V at a frequency of 85 Hz. What is the maximum amplitude of the current if the generator is connected to a 16 mF capacitor?

- a) 4.669E-02 A
- b) 5.136E-02 A
- c) 5.650E-02 A
- d) 6.215E-02 A
- e) 6.836E-02 A

4) The output of an ac generator connected to an RLC series combination has a frequency of 2.70E+04 Hz and an amplitude of 8 V. If R =4 Ω, L= 9.10E-03H , and C=9.60E-06 F, what is the rms power transferred to the resistor?

- a) 2.188E-03 Watts
- b) 2.407E-03 Watts
- c) 2.647E-03 Watts
- d) 2.912E-03 Watts
- e) 3.203E-03 Watts

#### c15 L2[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 3.60E+04 Hz and an amplitude of 9 V. If R =2 Ω, L= 7.60E-03H , and C=7.50E-06 F, what is the rms power transferred to the resistor?

- a) 1.011E-03 Watts
- b) 1.112E-03 Watts
- c) 1.223E-03 Watts
- d) 1.345E-03 Watts
- e) 1.480E-03 Watts

2) The output of an ac generator connected to an RLC series combination has a frequency of 480 Hz and an amplitude of 0.63 V;. If R =7 Ω, L= 3.80E-03H , and C=5.30E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 9.972E-01 &rad;
- b) 1.097E+00 &rad;
- c) 1.207E+00 &rad;
- d) 1.327E+00 &rad;
- e) 1.460E+00 &rad;

3) An ac generator produces an emf of amplitude 51 V at a frequency of 57 Hz. What is the maximum amplitude of the current if the generator is connected to a 99 mF capacitor?

- a) 1.644E+00 A
- b) 1.808E+00 A
- c) 1.989E+00 A
- d) 2.188E+00 A
- e) 2.407E+00 A

4) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.8 V. The resistance, inductance, and capacitance are R =7 Ω, L= 4.90E-03H , and C=8.50E-04 F, respectively. What is the amplitude of the current?

- a) 1.039E-01 A
- b) 1.143E-01 A
- c) 1.257E-01 A
- d) 1.383E-01 A
- e) 1.521E-01 A

### c15 M0[edit]

1) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.75 V. The resistance, inductance, and capacitance are R =5 Ω, L= 9.90E-03H , and C=6.80E-04 F, respectively. What is the amplitude of the current?

- a) 1.240E-01 A
- b) 1.364E-01 A
- c) 1.500E-01 A
- d) 1.650E-01 A
- e) 1.815E-01 A

2) An ac generator produces an emf of amplitude 70 V at a frequency of 63 Hz. What is the maximum amplitude of the current if the generator is connected to a 34 mF inductor?

- a) 3.908E+00 A
- b) 4.298E+00 A
- c) 4.728E+00 A
- d) 5.201E+00 A
- e) 5.721E+00 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 690 Hz and an amplitude of 0.4 V;. If R =3 Ω, L= 3.00E-03H , and C=8.30E-04 F, what is the impedance?

- a) 1.308E+01 Ω
- b) 1.438E+01 Ω
- c) 1.582E+01 Ω
- d) 1.741E+01 Ω
- e) 1.915E+01 Ω

4) The output of an ac generator connected to an RLC series combination has a frequency of 970 Hz and an amplitude of 0.11 V;. If R =9 Ω, L= 8.50E-03H , and C=7.00E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 1.398E+00 &rad;
- b) 1.538E+00 &rad;
- c) 1.692E+00 &rad;
- d) 1.861E+00 &rad;
- e) 2.047E+00 &rad;

#### c15 M1[edit]

1) An ac generator produces an emf of amplitude 7 V at a frequency of 190 Hz. What is the maximum amplitude of the current if the generator is connected to a 44 mF inductor?

- a) 9.102E-02 A
- b) 1.001E-01 A
- c) 1.101E-01 A
- d) 1.211E-01 A
- e) 1.333E-01 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 760 Hz and an amplitude of 0.43 V;. If R =7 Ω, L= 7.40E-03H , and C=6.00E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 9.380E-01 &rad;
- b) 1.032E+00 &rad;
- c) 1.135E+00 &rad;
- d) 1.248E+00 &rad;
- e) 1.373E+00 &rad;

3) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.44 V. The resistance, inductance, and capacitance are R =7 Ω, L= 5.40E-03H , and C=5.70E-04 F, respectively. What is the amplitude of the current?

- a) 4.723E-02 A
- b) 5.195E-02 A
- c) 5.714E-02 A
- d) 6.286E-02 A
- e) 6.914E-02 A

4) The output of an ac generator connected to an RLC series combination has a frequency of 760 Hz and an amplitude of 0.18 V;. If R =6 Ω, L= 7.50E-03H , and C=7.50E-04 F, what is the impedance?

- a) 2.708E+01 Ω
- b) 2.978E+01 Ω
- c) 3.276E+01 Ω
- d) 3.604E+01 Ω
- e) 3.964E+01 Ω

#### c15 M2[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 810 Hz and an amplitude of 0.64 V;. If R =6 Ω, L= 8.70E-03H , and C=8.20E-04 F, what is the impedance?

- a) 4.444E+01 Ω
- b) 4.889E+01 Ω
- c) 5.378E+01 Ω
- d) 5.916E+01 Ω
- e) 6.507E+01 Ω

2) An ac generator produces an emf of amplitude 69 V at a frequency of 180 Hz. What is the maximum amplitude of the current if the generator is connected to a 57 mF inductor?

- a) 1.070E+00 A
- b) 1.177E+00 A
- c) 1.295E+00 A
- d) 1.425E+00 A
- e) 1.567E+00 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 860 Hz and an amplitude of 0.59 V;. If R =9 Ω, L= 8.40E-03H , and C=8.80E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 1.032E+00 &rad;
- b) 1.136E+00 &rad;
- c) 1.249E+00 &rad;
- d) 1.374E+00 &rad;
- e) 1.512E+00 &rad;

4) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.8 V. The resistance, inductance, and capacitance are R =7 Ω, L= 4.90E-03H , and C=8.50E-04 F, respectively. What is the amplitude of the current?

- a) 1.039E-01 A
- b) 1.143E-01 A
- c) 1.257E-01 A
- d) 1.383E-01 A
- e) 1.521E-01 A

### c15 N0[edit]

1) An ac generator produces an emf of amplitude 90 V at a frequency of 64 Hz. What is the maximum amplitude of the current if the generator is connected to a 16 mF capacitor?

- a) 4.351E-01 A
- b) 4.786E-01 A
- c) 5.264E-01 A
- d) 5.791E-01 A
- e) 6.370E-01 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 6.10E+04 Hz and an amplitude of 9 V. If R =4 Ω, L= 3.40E-03H , and C=8.10E-06 F, what is the rms power transferred to the resistor?

- a) 3.839E-03 Watts
- b) 4.223E-03 Watts
- c) 4.646E-03 Watts
- d) 5.110E-03 Watts
- e) 5.621E-03 Watts

3) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.25 V. The resistance, inductance, and capacitance are R =3 Ω, L= 2.20E-03H , and C=6.30E-04 F, respectively. What is the amplitude of the current?

- a) 7.576E-02 A
- b) 8.333E-02 A
- c) 9.167E-02 A
- d) 1.008E-01 A
- e) 1.109E-01 A

4) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=5 V. The resistance, inductance, and capacitance are R =0.13 Ω, L= 5.30E-03H , and C=2.60E-06 F, respectively.

- a) Q = 1.986E+02
- b) Q = 2.284E+02
- c) Q = 2.626E+02
- d) Q = 3.020E+02
- e) Q = 3.473E+02

#### c15 N1[edit]

1) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.62 V. The resistance, inductance, and capacitance are R =6 Ω, L= 8.10E-03H , and C=6.40E-04 F, respectively. What is the amplitude of the current?

- a) 7.058E-02 A
- b) 7.764E-02 A
- c) 8.540E-02 A
- d) 9.394E-02 A
- e) 1.033E-01 A

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=5 V. The resistance, inductance, and capacitance are R =0.13 Ω, L= 5.30E-03H , and C=2.60E-06 F, respectively.

- a) Q = 1.986E+02
- b) Q = 2.284E+02
- c) Q = 2.626E+02
- d) Q = 3.020E+02
- e) Q = 3.473E+02

3) The output of an ac generator connected to an RLC series combination has a frequency of 6.10E+04 Hz and an amplitude of 8 V. If R =5 Ω, L= 9.10E-03H , and C=8.80E-06 F, what is the rms power transferred to the resistor?

- a) 4.320E-04 Watts
- b) 4.752E-04 Watts
- c) 5.227E-04 Watts
- d) 5.750E-04 Watts
- e) 6.325E-04 Watts

4) An ac generator produces an emf of amplitude 98 V at a frequency of 110 Hz. What is the maximum amplitude of the current if the generator is connected to a 2 mF capacitor?

- a) 1.232E-01 A
- b) 1.355E-01 A
- c) 1.490E-01 A
- d) 1.639E-01 A
- e) 1.803E-01 A

#### c15 N2[edit]

1) An ac generator produces an emf of amplitude 85 V at a frequency of 160 Hz. What is the maximum amplitude of the current if the generator is connected to a 59 mF capacitor?

- a) 5.042E+00 A
- b) 5.546E+00 A
- c) 6.100E+00 A
- d) 6.710E+00 A
- e) 7.381E+00 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 3.60E+04 Hz and an amplitude of 9 V. If R =2 Ω, L= 7.60E-03H , and C=7.50E-06 F, what is the rms power transferred to the resistor?

- a) 1.011E-03 Watts
- b) 1.112E-03 Watts
- c) 1.223E-03 Watts
- d) 1.345E-03 Watts
- e) 1.480E-03 Watts

3) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=6 V. The resistance, inductance, and capacitance are R =0.27 Ω, L= 4.20E-03H , and C=3.70E-06 F, respectively.

- a) Q = 7.135E+01
- b) Q = 8.205E+01
- c) Q = 9.435E+01
- d) Q = 1.085E+02
- e) Q = 1.248E+02

4) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.77 V. The resistance, inductance, and capacitance are R =3 Ω, L= 6.70E-03H , and C=7.10E-04 F, respectively. What is the amplitude of the current?

- a) 2.333E-01 A
- b) 2.567E-01 A
- c) 2.823E-01 A
- d) 3.106E-01 A
- e) 3.416E-01 A

### c15 O0[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 220 Hz and an amplitude of 0.71 V;. If R =7 Ω, L= 8.20E-03H , and C=9.40E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 8.146E-01 &rad;
- b) 8.960E-01 &rad;
- c) 9.856E-01 &rad;
- d) 1.084E+00 &rad;
- e) 1.193E+00 &rad;

2) An ac generator produces an emf of amplitude 50 V at a frequency of 47 Hz. What is the maximum amplitude of the current if the generator is connected to a 88 mF capacitor?

- a) 1.074E+00 A
- b) 1.181E+00 A
- c) 1.299E+00 A
- d) 1.429E+00 A
- e) 1.572E+00 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 5.40E+04 Hz and an amplitude of 6 V. If R =2 Ω, L= 6.80E-03H , and C=9.90E-06 F, what is the rms power transferred to the resistor?

- a) 2.452E-04 Watts
- b) 2.697E-04 Watts
- c) 2.967E-04 Watts
- d) 3.264E-04 Watts
- e) 3.590E-04 Watts

4) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.44 V. The resistance, inductance, and capacitance are R =7 Ω, L= 5.40E-03H , and C=5.70E-04 F, respectively. What is the amplitude of the current?

- a) 4.723E-02 A
- b) 5.195E-02 A
- c) 5.714E-02 A
- d) 6.286E-02 A
- e) 6.914E-02 A

#### c15 O1[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 6.10E+04 Hz and an amplitude of 8 V. If R =5 Ω, L= 9.10E-03H , and C=8.80E-06 F, what is the rms power transferred to the resistor?

- a) 4.320E-04 Watts
- b) 4.752E-04 Watts
- c) 5.227E-04 Watts
- d) 5.750E-04 Watts
- e) 6.325E-04 Watts

2) An ac generator produces an emf of amplitude 87 V at a frequency of 44 Hz. What is the maximum amplitude of the current if the generator is connected to a 9 mF capacitor?

- a) 1.626E-01 A
- b) 1.789E-01 A
- c) 1.968E-01 A
- d) 2.165E-01 A
- e) 2.381E-01 A

3) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.25 V. The resistance, inductance, and capacitance are R =3 Ω, L= 2.20E-03H , and C=6.30E-04 F, respectively. What is the amplitude of the current?

- a) 7.576E-02 A
- b) 8.333E-02 A
- c) 9.167E-02 A
- d) 1.008E-01 A
- e) 1.109E-01 A

4) The output of an ac generator connected to an RLC series combination has a frequency of 410 Hz and an amplitude of 0.82 V;. If R =7 Ω, L= 9.70E-03H , and C=9.00E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 1.176E+00 &rad;
- b) 1.293E+00 &rad;
- c) 1.422E+00 &rad;
- d) 1.565E+00 &rad;
- e) 1.721E+00 &rad;

#### c15 O2[edit]

1) An ac generator produces an emf of amplitude 64 V at a frequency of 100 Hz. What is the maximum amplitude of the current if the generator is connected to a 32 mF capacitor?

- a) 1.170E+00 A
- b) 1.287E+00 A
- c) 1.415E+00 A
- d) 1.557E+00 A
- e) 1.713E+00 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 760 Hz and an amplitude of 0.23 V;. If R =4 Ω, L= 7.70E-03H , and C=9.30E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 1.329E+00 &rad;
- b) 1.462E+00 &rad;
- c) 1.608E+00 &rad;
- d) 1.769E+00 &rad;
- e) 1.946E+00 &rad;

3) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.88 V. The resistance, inductance, and capacitance are R =7 Ω, L= 8.00E-03H , and C=5.50E-04 F, respectively. What is the amplitude of the current?

- a) 1.143E-01 A
- b) 1.257E-01 A
- c) 1.383E-01 A
- d) 1.521E-01 A
- e) 1.673E-01 A

4) The output of an ac generator connected to an RLC series combination has a frequency of 6.00E+04 Hz and an amplitude of 2 V. If R =3 Ω, L= 7.20E-03H , and C=6.50E-06 F, what is the rms power transferred to the resistor?

- a) 2.222E-05 Watts
- b) 2.444E-05 Watts
- c) 2.689E-05 Watts
- d) 2.958E-05 Watts
- e) 3.253E-05 Watts

### c15 P0[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 7.60E+04 Hz and an amplitude of 5 V. If R =6 Ω, L= 3.70E-03H , and C=5.80E-06 F, what is the rms power transferred to the resistor?

- a) 7.239E-04 Watts
- b) 7.963E-04 Watts
- c) 8.759E-04 Watts
- d) 9.635E-04 Watts
- e) 1.060E-03 Watts

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=5 V. The resistance, inductance, and capacitance are R =0.17 Ω, L= 4.40E-03H , and C=3.40E-06 F, respectively.

- a) Q = 1.391E+02
- b) Q = 1.600E+02
- c) Q = 1.840E+02
- d) Q = 2.116E+02
- e) Q = 2.434E+02

3) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.77 V. The resistance, inductance, and capacitance are R =3 Ω, L= 6.70E-03H , and C=7.10E-04 F, respectively. What is the amplitude of the current?

- a) 2.333E-01 A
- b) 2.567E-01 A
- c) 2.823E-01 A
- d) 3.106E-01 A
- e) 3.416E-01 A

4) An ac generator produces an emf of amplitude 75 V at a frequency of 200 Hz. What is the maximum amplitude of the current if the generator is connected to a 22 mF inductor?

- a) 2.466E+00 A
- b) 2.713E+00 A
- c) 2.984E+00 A
- d) 3.283E+00 A
- e) 3.611E+00 A

#### c15 P1[edit]

1) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=2 V. The resistance, inductance, and capacitance are R =0.25 Ω, L= 5.40E-03H , and C=3.20E-06 F, respectively.

- a) Q = 9.395E+01
- b) Q = 1.080E+02
- c) Q = 1.242E+02
- d) Q = 1.429E+02
- e) Q = 1.643E+02

2) The output of an ac generator connected to an RLC series combination has a frequency of 3.60E+04 Hz and an amplitude of 9 V. If R =2 Ω, L= 7.60E-03H , and C=7.50E-06 F, what is the rms power transferred to the resistor?

- a) 1.011E-03 Watts
- b) 1.112E-03 Watts
- c) 1.223E-03 Watts
- d) 1.345E-03 Watts
- e) 1.480E-03 Watts

3) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.88 V. The resistance, inductance, and capacitance are R =7 Ω, L= 8.00E-03H , and C=5.50E-04 F, respectively. What is the amplitude of the current?

- a) 1.143E-01 A
- b) 1.257E-01 A
- c) 1.383E-01 A
- d) 1.521E-01 A
- e) 1.673E-01 A

4) An ac generator produces an emf of amplitude 70 V at a frequency of 63 Hz. What is the maximum amplitude of the current if the generator is connected to a 34 mF inductor?

- a) 3.908E+00 A
- b) 4.298E+00 A
- c) 4.728E+00 A
- d) 5.201E+00 A
- e) 5.721E+00 A

#### c15 P2[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 6.10E+04 Hz and an amplitude of 8 V. If R =5 Ω, L= 9.10E-03H , and C=8.80E-06 F, what is the rms power transferred to the resistor?

- a) 4.320E-04 Watts
- b) 4.752E-04 Watts
- c) 5.227E-04 Watts
- d) 5.750E-04 Watts
- e) 6.325E-04 Watts

2) An ac generator produces an emf of amplitude 37 V at a frequency of 100 Hz. What is the maximum amplitude of the current if the generator is connected to a 86 mF inductor?

- a) 4.677E-01 A
- b) 5.145E-01 A
- c) 5.659E-01 A
- d) 6.225E-01 A
- e) 6.847E-01 A

3) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=5 V. The resistance, inductance, and capacitance are R =0.17 Ω, L= 4.40E-03H , and C=3.40E-06 F, respectively.

- a) Q = 1.391E+02
- b) Q = 1.600E+02
- c) Q = 1.840E+02
- d) Q = 2.116E+02
- e) Q = 2.434E+02

4) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.88 V. The resistance, inductance, and capacitance are R =7 Ω, L= 8.00E-03H , and C=5.50E-04 F, respectively. What is the amplitude of the current?

- a) 1.143E-01 A
- b) 1.257E-01 A
- c) 1.383E-01 A
- d) 1.521E-01 A
- e) 1.673E-01 A

### c15 Q0[edit]

1) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=3 V. The resistance, inductance, and capacitance are R =0.22 Ω, L= 5.10E-03H , and C=2.50E-06 F, respectively.

- a) Q = 2.053E+02
- b) Q = 2.361E+02
- c) Q = 2.715E+02
- d) Q = 3.122E+02
- e) Q = 3.591E+02

2) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.82 V. The resistance, inductance, and capacitance are R =3 Ω, L= 6.20E-03H , and C=6.70E-04 F, respectively. What is the amplitude of the current?

- a) 2.259E-01 A
- b) 2.485E-01 A
- c) 2.733E-01 A
- d) 3.007E-01 A
- e) 3.307E-01 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 300 Hz and an amplitude of 0.76 V;. If R =5 Ω, L= 6.10E-03H , and C=5.80E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 7.714E-01 &rad;
- b) 8.486E-01 &rad;
- c) 9.334E-01 &rad;
- d) 1.027E+00 &rad;
- e) 1.129E+00 &rad;

4) The output of an ac generator connected to an RLC series combination has a frequency of 690 Hz and an amplitude of 0.4 V;. If R =3 Ω, L= 3.00E-03H , and C=8.30E-04 F, what is the impedance?

- a) 1.308E+01 Ω
- b) 1.438E+01 Ω
- c) 1.582E+01 Ω
- d) 1.741E+01 Ω
- e) 1.915E+01 Ω

#### c15 Q1[edit]

1) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.76 V. The resistance, inductance, and capacitance are R =8 Ω, L= 3.80E-03H , and C=5.60E-04 F, respectively. What is the amplitude of the current?

- a) 8.636E-02 A
- b) 9.500E-02 A
- c) 1.045E-01 A
- d) 1.150E-01 A
- e) 1.264E-01 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 1.00E+03 Hz and an amplitude of 0.6 V;. If R =3 Ω, L= 1.70E-03H , and C=5.40E-04 F, what is the impedance?

- a) 8.123E+00 Ω
- b) 8.935E+00 Ω
- c) 9.828E+00 Ω
- d) 1.081E+01 Ω
- e) 1.189E+01 Ω

3) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=2 V. The resistance, inductance, and capacitance are R =0.25 Ω, L= 5.40E-03H , and C=3.20E-06 F, respectively.

- a) Q = 9.395E+01
- b) Q = 1.080E+02
- c) Q = 1.242E+02
- d) Q = 1.429E+02
- e) Q = 1.643E+02

4) The output of an ac generator connected to an RLC series combination has a frequency of 890 Hz and an amplitude of 0.58 V;. If R =9 Ω, L= 2.90E-03H , and C=8.30E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 7.952E-01 &rad;
- b) 8.747E-01 &rad;
- c) 9.622E-01 &rad;
- d) 1.058E+00 &rad;
- e) 1.164E+00 &rad;

#### c15 Q2[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 290 Hz and an amplitude of 0.75 V;. If R =2 Ω, L= 8.00E-03H , and C=9.90E-04 F, what is the impedance?

- a) 9.675E+00 Ω
- b) 1.064E+01 Ω
- c) 1.171E+01 Ω
- d) 1.288E+01 Ω
- e) 1.416E+01 Ω

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=4 V. The resistance, inductance, and capacitance are R =0.25 Ω, L= 4.80E-03H , and C=2.60E-06 F, respectively.

- a) Q = 1.300E+02
- b) Q = 1.495E+02
- c) Q = 1.719E+02
- d) Q = 1.976E+02
- e) Q = 2.273E+02

3) The output of an ac generator connected to an RLC series combination has a frequency of 760 Hz and an amplitude of 0.43 V;. If R =7 Ω, L= 7.40E-03H , and C=6.00E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 9.380E-01 &rad;
- b) 1.032E+00 &rad;
- c) 1.135E+00 &rad;
- d) 1.248E+00 &rad;
- e) 1.373E+00 &rad;

4) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.75 V. The resistance, inductance, and capacitance are R =5 Ω, L= 9.90E-03H , and C=6.80E-04 F, respectively. What is the amplitude of the current?

- a) 1.240E-01 A
- b) 1.364E-01 A
- c) 1.500E-01 A
- d) 1.650E-01 A
- e) 1.815E-01 A

### c15 R0[edit]

1) An ac generator produces an emf of amplitude 24 V at a frequency of 120 Hz. What is the maximum amplitude of the current if the generator is connected to a 96 mF inductor?

- a) 3.014E-01 A
- b) 3.316E-01 A
- c) 3.647E-01 A
- d) 4.012E-01 A
- e) 4.413E-01 A

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=3 V. The resistance, inductance, and capacitance are R =0.29 Ω, L= 4.80E-03H , and C=2.60E-06 F, respectively.

- a) Q = 1.288E+02
- b) Q = 1.482E+02
- c) Q = 1.704E+02
- d) Q = 1.959E+02
- e) Q = 2.253E+02

3) An ac generator produces an emf of amplitude 51 V at a frequency of 57 Hz. What is the maximum amplitude of the current if the generator is connected to a 99 mF capacitor?

- a) 1.644E+00 A
- b) 1.808E+00 A
- c) 1.989E+00 A
- d) 2.188E+00 A
- e) 2.407E+00 A

4) The output of an ac generator connected to an RLC series combination has a frequency of 4.30E+04 Hz and an amplitude of 6 V. If R =6 Ω, L= 5.20E-03H , and C=8.60E-06 F, what is the rms power transferred to the resistor?

- a) 1.511E-03 Watts
- b) 1.662E-03 Watts
- c) 1.828E-03 Watts
- d) 2.011E-03 Watts
- e) 2.212E-03 Watts

#### c15 R1[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 2.30E+04 Hz and an amplitude of 3 V. If R =5 Ω, L= 3.90E-03H , and C=9.00E-06 F, what is the rms power transferred to the resistor?

- a) 2.339E-03 Watts
- b) 2.573E-03 Watts
- c) 2.830E-03 Watts
- d) 3.113E-03 Watts
- e) 3.424E-03 Watts

2) An ac generator produces an emf of amplitude 60 V at a frequency of 130 Hz. What is the maximum amplitude of the current if the generator is connected to a 85 mF inductor?

- a) 7.856E-01 A
- b) 8.642E-01 A
- c) 9.506E-01 A
- d) 1.046E+00 A
- e) 1.150E+00 A

3) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=5 V. The resistance, inductance, and capacitance are R =0.17 Ω, L= 4.40E-03H , and C=3.40E-06 F, respectively.

- a) Q = 1.391E+02
- b) Q = 1.600E+02
- c) Q = 1.840E+02
- d) Q = 2.116E+02
- e) Q = 2.434E+02

4) An ac generator produces an emf of amplitude 32 V at a frequency of 120 Hz. What is the maximum amplitude of the current if the generator is connected to a 14 mF capacitor?

- a) 3.378E-01 A
- b) 3.716E-01 A
- c) 4.087E-01 A
- d) 4.496E-01 A
- e) 4.945E-01 A

#### c15 R2[edit]

1) An ac generator produces an emf of amplitude 50 V at a frequency of 47 Hz. What is the maximum amplitude of the current if the generator is connected to a 88 mF capacitor?

- a) 1.074E+00 A
- b) 1.181E+00 A
- c) 1.299E+00 A
- d) 1.429E+00 A
- e) 1.572E+00 A

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=4 V. The resistance, inductance, and capacitance are R =0.2 Ω, L= 4.90E-03H , and C=2.10E-06 F, respectively.

- a) Q = 1.381E+02
- b) Q = 1.588E+02
- c) Q = 1.826E+02
- d) Q = 2.100E+02
- e) Q = 2.415E+02

3) The output of an ac generator connected to an RLC series combination has a frequency of 5.00E+04 Hz and an amplitude of 5 V. If R =6 Ω, L= 2.50E-03H , and C=5.20E-06 F, what is the rms power transferred to the resistor?

- a) 5.097E-03 Watts
- b) 5.607E-03 Watts
- c) 6.167E-03 Watts
- d) 6.784E-03 Watts
- e) 7.463E-03 Watts

4) An ac generator produces an emf of amplitude 60 V at a frequency of 130 Hz. What is the maximum amplitude of the current if the generator is connected to a 85 mF inductor?

- a) 7.856E-01 A
- b) 8.642E-01 A
- c) 9.506E-01 A
- d) 1.046E+00 A
- e) 1.150E+00 A

### c15 S0[edit]

1) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.25 V. The resistance, inductance, and capacitance are R =7 Ω, L= 5.00E-03H , and C=7.70E-04 F, respectively. What is the amplitude of the current?

- a) 2.439E-02 A
- b) 2.683E-02 A
- c) 2.952E-02 A
- d) 3.247E-02 A
- e) 3.571E-02 A

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=2 V. The resistance, inductance, and capacitance are R =0.25 Ω, L= 4.20E-03H , and C=2.70E-06 F, respectively.

- a) Q = 1.372E+02
- b) Q = 1.578E+02
- c) Q = 1.814E+02
- d) Q = 2.086E+02
- e) Q = 2.399E+02

3) The output of an ac generator connected to an RLC series combination has a frequency of 5.00E+04 Hz and an amplitude of 5 V. If R =6 Ω, L= 2.50E-03H , and C=5.20E-06 F, what is the rms power transferred to the resistor?

- a) 5.097E-03 Watts
- b) 5.607E-03 Watts
- c) 6.167E-03 Watts
- d) 6.784E-03 Watts
- e) 7.463E-03 Watts

4) An ac generator produces an emf of amplitude 58 V at a frequency of 200 Hz. What is the maximum amplitude of the current if the generator is connected to a 66 mF capacitor?

- a) 3.976E+00 A
- b) 4.373E+00 A
- c) 4.810E+00 A
- d) 5.291E+00 A
- e) 5.821E+00 A

#### c15 S1[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 4.30E+04 Hz and an amplitude of 6 V. If R =6 Ω, L= 5.20E-03H , and C=8.60E-06 F, what is the rms power transferred to the resistor?

- a) 1.511E-03 Watts
- b) 1.662E-03 Watts
- c) 1.828E-03 Watts
- d) 2.011E-03 Watts
- e) 2.212E-03 Watts

2) An ac generator produces an emf of amplitude 50 V at a frequency of 47 Hz. What is the maximum amplitude of the current if the generator is connected to a 88 mF capacitor?

- a) 1.074E+00 A
- b) 1.181E+00 A
- c) 1.299E+00 A
- d) 1.429E+00 A
- e) 1.572E+00 A

3) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.62 V. The resistance, inductance, and capacitance are R =6 Ω, L= 8.10E-03H , and C=6.40E-04 F, respectively. What is the amplitude of the current?

- a) 7.058E-02 A
- b) 7.764E-02 A
- c) 8.540E-02 A
- d) 9.394E-02 A
- e) 1.033E-01 A

4) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=4 V. The resistance, inductance, and capacitance are R =0.2 Ω, L= 4.90E-03H , and C=2.10E-06 F, respectively.

- a) Q = 1.381E+02
- b) Q = 1.588E+02
- c) Q = 1.826E+02
- d) Q = 2.100E+02
- e) Q = 2.415E+02

#### c15 S2[edit]

1) An ac generator produces an emf of amplitude 4 V at a frequency of 160 Hz. What is the maximum amplitude of the current if the generator is connected to a 19 mF capacitor?

- a) 6.946E-02 A
- b) 7.640E-02 A
- c) 8.404E-02 A
- d) 9.245E-02 A
- e) 1.017E-01 A

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=4 V. The resistance, inductance, and capacitance are R =0.25 Ω, L= 4.80E-03H , and C=2.60E-06 F, respectively.

- a) Q = 1.300E+02
- b) Q = 1.495E+02
- c) Q = 1.719E+02
- d) Q = 1.976E+02
- e) Q = 2.273E+02

3) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.75 V. The resistance, inductance, and capacitance are R =5 Ω, L= 9.90E-03H , and C=6.80E-04 F, respectively. What is the amplitude of the current?

- a) 1.240E-01 A
- b) 1.364E-01 A
- c) 1.500E-01 A
- d) 1.650E-01 A
- e) 1.815E-01 A

4) The output of an ac generator connected to an RLC series combination has a frequency of 7.60E+04 Hz and an amplitude of 5 V. If R =6 Ω, L= 3.70E-03H , and C=5.80E-06 F, what is the rms power transferred to the resistor?

- a) 7.239E-04 Watts
- b) 7.963E-04 Watts
- c) 8.759E-04 Watts
- d) 9.635E-04 Watts
- e) 1.060E-03 Watts

### c15 T0[edit]

1) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.16 V. The resistance, inductance, and capacitance are R =8 Ω, L= 5.40E-03H , and C=5.40E-04 F, respectively. What is the amplitude of the current?

- a) 2.000E-02 A
- b) 2.200E-02 A
- c) 2.420E-02 A
- d) 2.662E-02 A
- e) 2.928E-02 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 760 Hz and an amplitude of 0.18 V;. If R =6 Ω, L= 7.50E-03H , and C=7.50E-04 F, what is the impedance?

- a) 2.708E+01 Ω
- b) 2.978E+01 Ω
- c) 3.276E+01 Ω
- d) 3.604E+01 Ω
- e) 3.964E+01 Ω

3) The output of an ac generator connected to an RLC series combination has a frequency of 4.30E+04 Hz and an amplitude of 6 V. If R =6 Ω, L= 5.20E-03H , and C=8.60E-06 F, what is the rms power transferred to the resistor?

- a) 1.511E-03 Watts
- b) 1.662E-03 Watts
- c) 1.828E-03 Watts
- d) 2.011E-03 Watts
- e) 2.212E-03 Watts

4) An ac generator produces an emf of amplitude 8 V at a frequency of 80 Hz. What is the maximum amplitude of the current if the generator is connected to a 14 mF inductor?

- a) 8.541E-01 A
- b) 9.395E-01 A
- c) 1.033E+00 A
- d) 1.137E+00 A
- e) 1.251E+00 A

#### c15 T1[edit]

1) An ac generator produces an emf of amplitude 5 V at a frequency of 52 Hz. What is the maximum amplitude of the current if the generator is connected to a 49 mF inductor?

- a) 2.839E-01 A
- b) 3.123E-01 A
- c) 3.435E-01 A
- d) 3.779E-01 A
- e) 4.157E-01 A

2) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.25 V. The resistance, inductance, and capacitance are R =3 Ω, L= 2.20E-03H , and C=6.30E-04 F, respectively. What is the amplitude of the current?

- a) 7.576E-02 A
- b) 8.333E-02 A
- c) 9.167E-02 A
- d) 1.008E-01 A
- e) 1.109E-01 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 2.30E+04 Hz and an amplitude of 3 V. If R =5 Ω, L= 3.90E-03H , and C=9.00E-06 F, what is the rms power transferred to the resistor?

- a) 2.339E-03 Watts
- b) 2.573E-03 Watts
- c) 2.830E-03 Watts
- d) 3.113E-03 Watts
- e) 3.424E-03 Watts

4) The output of an ac generator connected to an RLC series combination has a frequency of 680 Hz and an amplitude of 0.79 V;. If R =5 Ω, L= 2.40E-03H , and C=9.10E-04 F, what is the impedance?

- a) 8.398E+00 Ω
- b) 9.238E+00 Ω
- c) 1.016E+01 Ω
- d) 1.118E+01 Ω
- e) 1.230E+01 Ω

#### c15 T2[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 900 Hz and an amplitude of 0.43 V;. If R =7 Ω, L= 5.60E-03H , and C=6.30E-04 F, what is the impedance?

- a) 2.658E+01 Ω
- b) 2.923E+01 Ω
- c) 3.216E+01 Ω
- d) 3.537E+01 Ω
- e) 3.891E+01 Ω

2) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.44 V. The resistance, inductance, and capacitance are R =7 Ω, L= 5.40E-03H , and C=5.70E-04 F, respectively. What is the amplitude of the current?

- a) 4.723E-02 A
- b) 5.195E-02 A
- c) 5.714E-02 A
- d) 6.286E-02 A
- e) 6.914E-02 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 2.70E+04 Hz and an amplitude of 8 V. If R =4 Ω, L= 9.10E-03H , and C=9.60E-06 F, what is the rms power transferred to the resistor?

- a) 2.188E-03 Watts
- b) 2.407E-03 Watts
- c) 2.647E-03 Watts
- d) 2.912E-03 Watts
- e) 3.203E-03 Watts

4) An ac generator produces an emf of amplitude 60 V at a frequency of 130 Hz. What is the maximum amplitude of the current if the generator is connected to a 85 mF inductor?

- a) 7.856E-01 A
- b) 8.642E-01 A
- c) 9.506E-01 A
- d) 1.046E+00 A
- e) 1.150E+00 A

### c15 U0[edit]

1) An ac generator produces an emf of amplitude 71 V at a frequency of 68 Hz. What is the maximum amplitude of the current if the generator is connected to a 35 mF capacitor?

- a) 7.252E-01 A
- b) 7.977E-01 A
- c) 8.775E-01 A
- d) 9.652E-01 A
- e) 1.062E+00 A

2) A step-down transformer steps 16 kV down to 210 V. The high-voltage input is provided by a 200 Ω power line that carries 7 A of currentWhat is the output current (at the 210 V side ?)

- a) 4.007E+02 A
- b) 4.408E+02 A
- c) 4.848E+02 A
- d) 5.333E+02 A
- e) 5.867E+02 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 690 Hz and an amplitude of 0.4 V;. If R =3 Ω, L= 3.00E-03H , and C=8.30E-04 F, what is the impedance?

- a) 1.308E+01 Ω
- b) 1.438E+01 Ω
- c) 1.582E+01 Ω
- d) 1.741E+01 Ω
- e) 1.915E+01 Ω

4) The output of an ac generator connected to an RLC series combination has a frequency of 2.30E+04 Hz and an amplitude of 7 V. If R =3 Ω, L= 4.10E-03H , and C=8.70E-06 F, what is the rms power transferred to the resistor?

- a) 8.369E-03 Watts
- b) 9.206E-03 Watts
- c) 1.013E-02 Watts
- d) 1.114E-02 Watts
- e) 1.225E-02 Watts

#### c15 U1[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 900 Hz and an amplitude of 0.43 V;. If R =7 Ω, L= 5.60E-03H , and C=6.30E-04 F, what is the impedance?

- a) 2.658E+01 Ω
- b) 2.923E+01 Ω
- c) 3.216E+01 Ω
- d) 3.537E+01 Ω
- e) 3.891E+01 Ω

2) The output of an ac generator connected to an RLC series combination has a frequency of 3.50E+04 Hz and an amplitude of 8 V. If R =7 Ω, L= 9.40E-03H , and C=8.50E-06 F, what is the rms power transferred to the resistor?

- a) 2.111E-03 Watts
- b) 2.323E-03 Watts
- c) 2.555E-03 Watts
- d) 2.810E-03 Watts
- e) 3.091E-03 Watts

3) A step-down transformer steps 15 kV down to 240 V. The high-voltage input is provided by a 120 Ω power line that carries 3 A of currentWhat is the output current (at the 240 V side ?)

- a) 1.550E+02 A
- b) 1.705E+02 A
- c) 1.875E+02 A
- d) 2.063E+02 A
- e) 2.269E+02 A

4) An ac generator produces an emf of amplitude 8 V at a frequency of 85 Hz. What is the maximum amplitude of the current if the generator is connected to a 16 mF capacitor?

- a) 4.669E-02 A
- b) 5.136E-02 A
- c) 5.650E-02 A
- d) 6.215E-02 A
- e) 6.836E-02 A

#### c15 U2[edit]

1) An ac generator produces an emf of amplitude 7 V at a frequency of 95 Hz. What is the maximum amplitude of the current if the generator is connected to a 50 mF capacitor?

- a) 1.427E-01 A
- b) 1.570E-01 A
- c) 1.727E-01 A
- d) 1.899E-01 A
- e) 2.089E-01 A

2) A step-down transformer steps 19 kV down to 220 V. The high-voltage input is provided by a 230 Ω power line that carries 5 A of currentWhat is the output current (at the 220 V side ?)

- a) 3.244E+02 A
- b) 3.569E+02 A
- c) 3.926E+02 A
- d) 4.318E+02 A
- e) 4.750E+02 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 900 Hz and an amplitude of 0.43 V;. If R =7 Ω, L= 5.60E-03H , and C=6.30E-04 F, what is the impedance?

- a) 2.658E+01 Ω
- b) 2.923E+01 Ω
- c) 3.216E+01 Ω
- d) 3.537E+01 Ω
- e) 3.891E+01 Ω

4) The output of an ac generator connected to an RLC series combination has a frequency of 6.00E+04 Hz and an amplitude of 2 V. If R =3 Ω, L= 7.20E-03H , and C=6.50E-06 F, what is the rms power transferred to the resistor?

- a) 2.222E-05 Watts
- b) 2.444E-05 Watts
- c) 2.689E-05 Watts
- d) 2.958E-05 Watts
- e) 3.253E-05 Watts

### c15 V0[edit]

1) An ac generator produces an emf of amplitude 70 V at a frequency of 63 Hz. What is the maximum amplitude of the current if the generator is connected to a 34 mF inductor?

- a) 3.908E+00 A
- b) 4.298E+00 A
- c) 4.728E+00 A
- d) 5.201E+00 A
- e) 5.721E+00 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 290 Hz and an amplitude of 0.75 V;. If R =2 Ω, L= 8.00E-03H , and C=9.90E-04 F, what is the impedance?

- a) 9.675E+00 Ω
- b) 1.064E+01 Ω
- c) 1.171E+01 Ω
- d) 1.288E+01 Ω
- e) 1.416E+01 Ω

3) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.3 V. The resistance, inductance, and capacitance are R =2 Ω, L= 8.10E-03H , and C=9.40E-04 F, respectively. What is the amplitude of the current?

- a) 1.364E-01 A
- b) 1.500E-01 A
- c) 1.650E-01 A
- d) 1.815E-01 A
- e) 1.997E-01 A

4) A step-down transformer steps 8 kV down to 220 V. The high-voltage input is provided by a 110 Ω power line that carries 8 A of currentWhat is the output current (at the 220 V side ?)

- a) 2.404E+02 A
- b) 2.645E+02 A
- c) 2.909E+02 A
- d) 3.200E+02 A
- e) 3.520E+02 A

#### c15 V1[edit]

1) An ac generator produces an emf of amplitude 66 V at a frequency of 180 Hz. What is the maximum amplitude of the current if the generator is connected to a 97 mF inductor?

- a) 4.972E-01 A
- b) 5.469E-01 A
- c) 6.016E-01 A
- d) 6.618E-01 A
- e) 7.280E-01 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 910 Hz and an amplitude of 0.88 V;. If R =7 Ω, L= 6.80E-03H , and C=9.60E-04 F, what is the impedance?

- a) 3.575E+01 Ω
- b) 3.933E+01 Ω
- c) 4.326E+01 Ω
- d) 4.758E+01 Ω
- e) 5.234E+01 Ω

3) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.83 V. The resistance, inductance, and capacitance are R =4 Ω, L= 4.60E-03H , and C=8.10E-04 F, respectively. What is the amplitude of the current?

- a) 1.417E-01 A
- b) 1.559E-01 A
- c) 1.715E-01 A
- d) 1.886E-01 A
- e) 2.075E-01 A

4) A step-down transformer steps 18 kV down to 260 V. The high-voltage input is provided by a 290 Ω power line that carries 3 A of currentWhat is the output current (at the 260 V side ?)

- a) 1.888E+02 A
- b) 2.077E+02 A
- c) 2.285E+02 A
- d) 2.513E+02 A
- e) 2.764E+02 A

#### c15 V2[edit]

1) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.64 V. The resistance, inductance, and capacitance are R =2 Ω, L= 4.00E-03H , and C=8.30E-04 F, respectively. What is the amplitude of the current?

- a) 3.200E-01 A
- b) 3.520E-01 A
- c) 3.872E-01 A
- d) 4.259E-01 A
- e) 4.685E-01 A

2) An ac generator produces an emf of amplitude 90 V at a frequency of 130 Hz. What is the maximum amplitude of the current if the generator is connected to a 20 mF inductor?

- a) 5.008E+00 A
- b) 5.509E+00 A
- c) 6.060E+00 A
- d) 6.666E+00 A
- e) 7.333E+00 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 760 Hz and an amplitude of 0.18 V;. If R =6 Ω, L= 7.50E-03H , and C=7.50E-04 F, what is the impedance?

- a) 2.708E+01 Ω
- b) 2.978E+01 Ω
- c) 3.276E+01 Ω
- d) 3.604E+01 Ω
- e) 3.964E+01 Ω

4) A step-down transformer steps 18 kV down to 170 V. The high-voltage input is provided by a 240 Ω power line that carries 5 A of currentWhat is the output current (at the 170 V side ?)

- a) 5.294E+02 A
- b) 5.824E+02 A
- c) 6.406E+02 A
- d) 7.046E+02 A
- e) 7.751E+02 A

### c15 W0[edit]

1) An ac generator produces an emf of amplitude 76 V at a frequency of 180 Hz. What is the maximum amplitude of the current if the generator is connected to a 14 mF inductor?

- a) 3.606E+00 A
- b) 3.967E+00 A
- c) 4.364E+00 A
- d) 4.800E+00 A
- e) 5.280E+00 A

2) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.31 V. The resistance, inductance, and capacitance are R =5 Ω, L= 9.00E-03H , and C=5.10E-04 F, respectively. What is the amplitude of the current?

- a) 4.235E-02 A
- b) 4.658E-02 A
- c) 5.124E-02 A
- d) 5.636E-02 A
- e) 6.200E-02 A

3) An ac generator produces an emf of amplitude 54 V at a frequency of 120 Hz. What is the maximum amplitude of the current if the generator is connected to a 7 mF capacitor?

- a) 2.850E-01 A
- b) 3.135E-01 A
- c) 3.449E-01 A
- d) 3.793E-01 A
- e) 4.173E-01 A

4) The output of an ac generator connected to an RLC series combination has a frequency of 4.30E+04 Hz and an amplitude of 6 V. If R =6 Ω, L= 5.20E-03H , and C=8.60E-06 F, what is the rms power transferred to the resistor?

- a) 1.511E-03 Watts
- b) 1.662E-03 Watts
- c) 1.828E-03 Watts
- d) 2.011E-03 Watts
- e) 2.212E-03 Watts

#### c15 W1[edit]

1) An ac generator produces an emf of amplitude 70 V at a frequency of 63 Hz. What is the maximum amplitude of the current if the generator is connected to a 34 mF inductor?

- a) 3.908E+00 A
- b) 4.298E+00 A
- c) 4.728E+00 A
- d) 5.201E+00 A
- e) 5.721E+00 A

2) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.3 V. The resistance, inductance, and capacitance are R =2 Ω, L= 8.10E-03H , and C=9.40E-04 F, respectively. What is the amplitude of the current?

- a) 1.364E-01 A
- b) 1.500E-01 A
- c) 1.650E-01 A
- d) 1.815E-01 A
- e) 1.997E-01 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 6.00E+04 Hz and an amplitude of 2 V. If R =3 Ω, L= 7.20E-03H , and C=6.50E-06 F, what is the rms power transferred to the resistor?

- a) 2.222E-05 Watts
- b) 2.444E-05 Watts
- c) 2.689E-05 Watts
- d) 2.958E-05 Watts
- e) 3.253E-05 Watts

4) An ac generator produces an emf of amplitude 71 V at a frequency of 68 Hz. What is the maximum amplitude of the current if the generator is connected to a 35 mF capacitor?

- a) 7.252E-01 A
- b) 7.977E-01 A
- c) 8.775E-01 A
- d) 9.652E-01 A
- e) 1.062E+00 A

#### c15 W2[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 5.50E+04 Hz and an amplitude of 2 V. If R =8 Ω, L= 9.60E-03H , and C=8.30E-06 F, what is the rms power transferred to the resistor?

- a) 4.347E-05 Watts
- b) 4.782E-05 Watts
- c) 5.260E-05 Watts
- d) 5.786E-05 Watts
- e) 6.364E-05 Watts

2) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.25 V. The resistance, inductance, and capacitance are R =7 Ω, L= 5.00E-03H , and C=7.70E-04 F, respectively. What is the amplitude of the current?

- a) 2.439E-02 A
- b) 2.683E-02 A
- c) 2.952E-02 A
- d) 3.247E-02 A
- e) 3.571E-02 A

3) An ac generator produces an emf of amplitude 69 V at a frequency of 180 Hz. What is the maximum amplitude of the current if the generator is connected to a 57 mF inductor?

- a) 1.070E+00 A
- b) 1.177E+00 A
- c) 1.295E+00 A
- d) 1.425E+00 A
- e) 1.567E+00 A

4) An ac generator produces an emf of amplitude 90 V at a frequency of 64 Hz. What is the maximum amplitude of the current if the generator is connected to a 16 mF capacitor?

- a) 4.351E-01 A
- b) 4.786E-01 A
- c) 5.264E-01 A
- d) 5.791E-01 A
- e) 6.370E-01 A

### c15 X0[edit]

1) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.75 V. The resistance, inductance, and capacitance are R =5 Ω, L= 9.90E-03H , and C=6.80E-04 F, respectively. What is the amplitude of the current?

- a) 1.240E-01 A
- b) 1.364E-01 A
- c) 1.500E-01 A
- d) 1.650E-01 A
- e) 1.815E-01 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 6.10E+04 Hz and an amplitude of 8 V. If R =5 Ω, L= 9.10E-03H , and C=8.80E-06 F, what is the rms power transferred to the resistor?

- a) 4.320E-04 Watts
- b) 4.752E-04 Watts
- c) 5.227E-04 Watts
- d) 5.750E-04 Watts
- e) 6.325E-04 Watts

3) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=4 V. The resistance, inductance, and capacitance are R =0.25 Ω, L= 4.80E-03H , and C=2.60E-06 F, respectively.

- a) Q = 1.300E+02
- b) Q = 1.495E+02
- c) Q = 1.719E+02
- d) Q = 1.976E+02
- e) Q = 2.273E+02

4) The output of an ac generator connected to an RLC series combination has a frequency of 900 Hz and an amplitude of 0.43 V;. If R =7 Ω, L= 5.60E-03H , and C=6.30E-04 F, what is the impedance?

- a) 2.658E+01 Ω
- b) 2.923E+01 Ω
- c) 3.216E+01 Ω
- d) 3.537E+01 Ω
- e) 3.891E+01 Ω

#### c15 X1[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 650 Hz and an amplitude of 0.3 V;. If R =3 Ω, L= 4.90E-03H , and C=8.20E-04 F, what is the impedance?

- a) 1.813E+01 Ω
- b) 1.994E+01 Ω
- c) 2.193E+01 Ω
- d) 2.413E+01 Ω
- e) 2.654E+01 Ω

2) The output of an ac generator connected to an RLC series combination has a frequency of 4.00E+04 Hz and an amplitude of 8 V. If R =4 Ω, L= 7.00E-03H , and C=6.60E-06 F, what is the rms power transferred to the resistor?

- a) 1.146E-03 Watts
- b) 1.260E-03 Watts
- c) 1.386E-03 Watts
- d) 1.525E-03 Watts
- e) 1.677E-03 Watts

3) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=3 V. The resistance, inductance, and capacitance are R =0.25 Ω, L= 4.70E-03H , and C=3.30E-06 F, respectively.

- a) Q = 1.313E+02
- b) Q = 1.510E+02
- c) Q = 1.736E+02
- d) Q = 1.996E+02
- e) Q = 2.296E+02

4) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.77 V. The resistance, inductance, and capacitance are R =3 Ω, L= 6.70E-03H , and C=7.10E-04 F, respectively. What is the amplitude of the current?

- a) 2.333E-01 A
- b) 2.567E-01 A
- c) 2.823E-01 A
- d) 3.106E-01 A
- e) 3.416E-01 A

#### c15 X2[edit]

1) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=3 V. The resistance, inductance, and capacitance are R =0.14 Ω, L= 5.20E-03H , and C=2.90E-06 F, respectively.

- a) Q = 2.287E+02
- b) Q = 2.630E+02
- c) Q = 3.025E+02
- d) Q = 3.478E+02
- e) Q = 4.000E+02

2) The output of an ac generator connected to an RLC series combination has a frequency of 1.00E+03 Hz and an amplitude of 0.6 V;. If R =3 Ω, L= 1.70E-03H , and C=5.40E-04 F, what is the impedance?

- a) 8.123E+00 Ω
- b) 8.935E+00 Ω
- c) 9.828E+00 Ω
- d) 1.081E+01 Ω
- e) 1.189E+01 Ω

3) The output of an ac generator connected to an RLC series combination has a frequency of 5.50E+04 Hz and an amplitude of 2 V. If R =8 Ω, L= 9.60E-03H , and C=8.30E-06 F, what is the rms power transferred to the resistor?

- a) 4.347E-05 Watts
- b) 4.782E-05 Watts
- c) 5.260E-05 Watts
- d) 5.786E-05 Watts
- e) 6.364E-05 Watts

4) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.3 V. The resistance, inductance, and capacitance are R =2 Ω, L= 8.10E-03H , and C=9.40E-04 F, respectively. What is the amplitude of the current?

- a) 1.364E-01 A
- b) 1.500E-01 A
- c) 1.650E-01 A
- d) 1.815E-01 A
- e) 1.997E-01 A

### c15 Y0[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 360 Hz and an amplitude of 0.17 V;. If R =9 Ω, L= 2.60E-03H , and C=8.00E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 4.860E-01 &rad;
- b) 5.346E-01 &rad;
- c) 5.880E-01 &rad;
- d) 6.468E-01 &rad;
- e) 7.115E-01 &rad;

2) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.83 V. The resistance, inductance, and capacitance are R =9 Ω, L= 8.50E-03H , and C=7.20E-04 F, respectively. What is the amplitude of the current?

- a) 8.384E-02 A
- b) 9.222E-02 A
- c) 1.014E-01 A
- d) 1.116E-01 A
- e) 1.227E-01 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 900 Hz and an amplitude of 0.43 V;. If R =7 Ω, L= 5.60E-03H , and C=6.30E-04 F, what is the impedance?

- a) 2.658E+01 Ω
- b) 2.923E+01 Ω
- c) 3.216E+01 Ω
- d) 3.537E+01 Ω
- e) 3.891E+01 Ω

4) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=6 V. The resistance, inductance, and capacitance are R =0.27 Ω, L= 4.20E-03H , and C=3.70E-06 F, respectively.

- a) Q = 7.135E+01
- b) Q = 8.205E+01
- c) Q = 9.435E+01
- d) Q = 1.085E+02
- e) Q = 1.248E+02

#### c15 Y1[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 760 Hz and an amplitude of 0.43 V;. If R =7 Ω, L= 7.40E-03H , and C=6.00E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 9.380E-01 &rad;
- b) 1.032E+00 &rad;
- c) 1.135E+00 &rad;
- d) 1.248E+00 &rad;
- e) 1.373E+00 &rad;

2) The output of an ac generator connected to an RLC series combination has a frequency of 690 Hz and an amplitude of 0.4 V;. If R =3 Ω, L= 3.00E-03H , and C=8.30E-04 F, what is the impedance?

- a) 1.308E+01 Ω
- b) 1.438E+01 Ω
- c) 1.582E+01 Ω
- d) 1.741E+01 Ω
- e) 1.915E+01 Ω

3) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.44 V. The resistance, inductance, and capacitance are R =7 Ω, L= 5.40E-03H , and C=5.70E-04 F, respectively. What is the amplitude of the current?

- a) 4.723E-02 A
- b) 5.195E-02 A
- c) 5.714E-02 A
- d) 6.286E-02 A
- e) 6.914E-02 A

4) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=2 V. The resistance, inductance, and capacitance are R =0.28 Ω, L= 4.70E-03H , and C=2.50E-06 F, respectively.

- a) Q = 1.171E+02
- b) Q = 1.347E+02
- c) Q = 1.549E+02
- d) Q = 1.781E+02
- e) Q = 2.048E+02

#### c15 Y2[edit]

- a) 9.380E-01 &rad;
- b) 1.032E+00 &rad;
- c) 1.135E+00 &rad;
- d) 1.248E+00 &rad;
- e) 1.373E+00 &rad;

2) The output of an ac generator connected to an RLC series combination has a frequency of 680 Hz and an amplitude of 0.79 V;. If R =5 Ω, L= 2.40E-03H , and C=9.10E-04 F, what is the impedance?

- a) 8.398E+00 Ω
- b) 9.238E+00 Ω
- c) 1.016E+01 Ω
- d) 1.118E+01 Ω
- e) 1.230E+01 Ω

3) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.75 V. The resistance, inductance, and capacitance are R =5 Ω, L= 9.90E-03H , and C=6.80E-04 F, respectively. What is the amplitude of the current?

- a) 1.240E-01 A
- b) 1.364E-01 A
- c) 1.500E-01 A
- d) 1.650E-01 A
- e) 1.815E-01 A

4) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=6 V. The resistance, inductance, and capacitance are R =0.3 Ω, L= 5.90E-03H , and C=3.80E-06 F, respectively.

- a) Q = 7.510E+01
- b) Q = 8.636E+01
- c) Q = 9.932E+01
- d) Q = 1.142E+02
- e) Q = 1.313E+02

### c15 Z0[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 220 Hz and an amplitude of 0.71 V;. If R =7 Ω, L= 8.20E-03H , and C=9.40E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 8.146E-01 &rad;
- b) 8.960E-01 &rad;
- c) 9.856E-01 &rad;
- d) 1.084E+00 &rad;
- e) 1.193E+00 &rad;

2) An ac generator produces an emf of amplitude 51 V at a frequency of 57 Hz. What is the maximum amplitude of the current if the generator is connected to a 99 mF capacitor?

- a) 1.644E+00 A
- b) 1.808E+00 A
- c) 1.989E+00 A
- d) 2.188E+00 A
- e) 2.407E+00 A

3) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=5 V. The resistance, inductance, and capacitance are R =0.27 Ω, L= 4.30E-03H , and C=2.20E-06 F, respectively.

- a) Q = 1.238E+02
- b) Q = 1.424E+02
- c) Q = 1.637E+02
- d) Q = 1.883E+02
- e) Q = 2.165E+02

4) An ac generator produces an emf of amplitude 90 V at a frequency of 130 Hz. What is the maximum amplitude of the current if the generator is connected to a 20 mF inductor?

- a) 5.008E+00 A
- b) 5.509E+00 A
- c) 6.060E+00 A
- d) 6.666E+00 A
- e) 7.333E+00 A

#### c15 Z1[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 220 Hz and an amplitude of 0.71 V;. If R =7 Ω, L= 8.20E-03H , and C=9.40E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 8.146E-01 &rad;
- b) 8.960E-01 &rad;
- c) 9.856E-01 &rad;
- d) 1.084E+00 &rad;
- e) 1.193E+00 &rad;

2) An ac generator produces an emf of amplitude 4 V at a frequency of 160 Hz. What is the maximum amplitude of the current if the generator is connected to a 19 mF capacitor?

- a) 6.946E-02 A
- b) 7.640E-02 A
- c) 8.404E-02 A
- d) 9.245E-02 A
- e) 1.017E-01 A

3) An ac generator produces an emf of amplitude 90 V at a frequency of 130 Hz. What is the maximum amplitude of the current if the generator is connected to a 20 mF inductor?

- a) 5.008E+00 A
- b) 5.509E+00 A
- c) 6.060E+00 A
- d) 6.666E+00 A
- e) 7.333E+00 A

4) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=5 V. The resistance, inductance, and capacitance are R =0.13 Ω, L= 5.30E-03H , and C=2.60E-06 F, respectively.

- a) Q = 1.986E+02
- b) Q = 2.284E+02
- c) Q = 2.626E+02
- d) Q = 3.020E+02
- e) Q = 3.473E+02

#### c15 Z2[edit]

1) An ac generator produces an emf of amplitude 93 V at a frequency of 160 Hz. What is the maximum amplitude of the current if the generator is connected to a 70 mF capacitor?

- a) 4.917E+00 A
- b) 5.409E+00 A
- c) 5.950E+00 A
- d) 6.545E+00 A
- e) 7.199E+00 A

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=1 V. The resistance, inductance, and capacitance are R =0.2 Ω, L= 4.30E-03H , and C=3.20E-06 F, respectively.

- a) Q = 1.048E+02
- b) Q = 1.205E+02
- c) Q = 1.386E+02
- d) Q = 1.594E+02
- e) Q = 1.833E+02

3) The output of an ac generator connected to an RLC series combination has a frequency of 220 Hz and an amplitude of 0.71 V;. If R =7 Ω, L= 8.20E-03H , and C=9.40E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 8.146E-01 &rad;
- b) 8.960E-01 &rad;
- c) 9.856E-01 &rad;
- d) 1.084E+00 &rad;
- e) 1.193E+00 &rad;

4) An ac generator produces an emf of amplitude 24 V at a frequency of 120 Hz. What is the maximum amplitude of the current if the generator is connected to a 96 mF inductor?

- a) 3.014E-01 A
- b) 3.316E-01 A
- c) 3.647E-01 A
- d) 4.012E-01 A
- e) 4.413E-01 A

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### Key: A0[edit]

1) An ac generator produces an emf of amplitude 24 V at a frequency of 120 Hz. What is the maximum amplitude of the current if the generator is connected to a 96 mF inductor?

- -a) 3.014E-01 A
- +b) 3.316E-01 A
- -c) 3.647E-01 A
- -d) 4.012E-01 A
- -e) 4.413E-01 A

2) A step-down transformer steps 16 kV down to 210 V. The high-voltage input is provided by a 200 Ω power line that carries 7 A of currentWhat is the output current (at the 210 V side ?)

- -a) 4.007E+02 A
- -b) 4.408E+02 A
- -c) 4.848E+02 A
- +d) 5.333E+02 A
- -e) 5.867E+02 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 810 Hz and an amplitude of 0.64 V;. If R =6 Ω, L= 8.70E-03H , and C=8.20E-04 F, what is the impedance?

- +a) 4.444E+01 Ω
- -b) 4.889E+01 Ω
- -c) 5.378E+01 Ω
- -d) 5.916E+01 Ω
- -e) 6.507E+01 Ω

4) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.64 V. The resistance, inductance, and capacitance are R =2 Ω, L= 4.00E-03H , and C=8.30E-04 F, respectively. What is the amplitude of the current?

- +a) 3.200E-01 A
- -b) 3.520E-01 A
- -c) 3.872E-01 A
- -d) 4.259E-01 A
- -e) 4.685E-01 A

Click these links for the keys:

#### Key: A1[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 470 Hz and an amplitude of 0.67 V;. If R =4 Ω, L= 2.40E-03H , and C=5.10E-04 F, what is the impedance?

- -a) 6.254E+00 Ω
- -b) 6.879E+00 Ω
- +c) 7.567E+00 Ω
- -d) 8.324E+00 Ω
- -e) 9.156E+00 Ω

2) A step-down transformer steps 15 kV down to 240 V. The high-voltage input is provided by a 120 Ω power line that carries 3 A of currentWhat is the output current (at the 240 V side ?)

- -a) 1.550E+02 A
- -b) 1.705E+02 A
- +c) 1.875E+02 A
- -d) 2.063E+02 A
- -e) 2.269E+02 A

3) An ac generator produces an emf of amplitude 3 V at a frequency of 130 Hz. What is the maximum amplitude of the current if the generator is connected to a 75 mF inductor?

- -a) 3.679E-02 A
- -b) 4.047E-02 A
- -c) 4.452E-02 A
- +d) 4.897E-02 A
- -e) 5.387E-02 A

4) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.16 V. The resistance, inductance, and capacitance are R =8 Ω, L= 5.40E-03H , and C=5.40E-04 F, respectively. What is the amplitude of the current?

- +a) 2.000E-02 A
- -b) 2.200E-02 A
- -c) 2.420E-02 A
- -d) 2.662E-02 A
- -e) 2.928E-02 A

Click these links for the keys:

#### Key: A2[edit]

- -a) 2.658E+01 Ω
- -b) 2.923E+01 Ω
- +c) 3.216E+01 Ω
- -d) 3.537E+01 Ω
- -e) 3.891E+01 Ω

2) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.77 V. The resistance, inductance, and capacitance are R =3 Ω, L= 6.70E-03H , and C=7.10E-04 F, respectively. What is the amplitude of the current?

- -a) 2.333E-01 A
- +b) 2.567E-01 A
- -c) 2.823E-01 A
- -d) 3.106E-01 A
- -e) 3.416E-01 A

3) A step-down transformer steps 19 kV down to 220 V. The high-voltage input is provided by a 230 Ω power line that carries 5 A of currentWhat is the output current (at the 220 V side ?)

- -a) 3.244E+02 A
- -b) 3.569E+02 A
- -c) 3.926E+02 A
- +d) 4.318E+02 A
- -e) 4.750E+02 A

- -a) 7.856E-01 A
- +b) 8.642E-01 A
- -c) 9.506E-01 A
- -d) 1.046E+00 A
- -e) 1.150E+00 A

Click these links for the keys:

### Key: B0[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 2.30E+04 Hz and an amplitude of 7 V. If R =3 Ω, L= 4.10E-03H , and C=8.70E-06 F, what is the rms power transferred to the resistor?

- -a) 8.369E-03 Watts
- +b) 9.206E-03 Watts
- -c) 1.013E-02 Watts
- -d) 1.114E-02 Watts
- -e) 1.225E-02 Watts

2) An ac generator produces an emf of amplitude 24 V at a frequency of 120 Hz. What is the maximum amplitude of the current if the generator is connected to a 96 mF inductor?

- -a) 3.014E-01 A
- +b) 3.316E-01 A
- -c) 3.647E-01 A
- -d) 4.012E-01 A
- -e) 4.413E-01 A

_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=1 V. The resistance, inductance, and capacitance are R =0.2 Ω, L= 4.30E-03H , and C=3.20E-06 F, respectively.

- -a) Q = 1.048E+02
- -b) Q = 1.205E+02
- -c) Q = 1.386E+02
- -d) Q = 1.594E+02
- +e) Q = 1.833E+02

4) The output of an ac generator connected to an RLC series combination has a frequency of 760 Hz and an amplitude of 0.43 V;. If R =7 Ω, L= 7.40E-03H , and C=6.00E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- -a) 9.380E-01 &rad;
- -b) 1.032E+00 &rad;
- -c) 1.135E+00 &rad;
- -d) 1.248E+00 &rad;
- +e) 1.373E+00 &rad;

Click these links for the keys:

#### Key: B1[edit]

- -a) 9.380E-01 &rad;
- -b) 1.032E+00 &rad;
- -c) 1.135E+00 &rad;
- -d) 1.248E+00 &rad;
- +e) 1.373E+00 &rad;

2) An ac generator produces an emf of amplitude 69 V at a frequency of 180 Hz. What is the maximum amplitude of the current if the generator is connected to a 57 mF inductor?

- +a) 1.070E+00 A
- -b) 1.177E+00 A
- -c) 1.295E+00 A
- -d) 1.425E+00 A
- -e) 1.567E+00 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 7.60E+04 Hz and an amplitude of 5 V. If R =6 Ω, L= 3.70E-03H , and C=5.80E-06 F, what is the rms power transferred to the resistor?

- -a) 7.239E-04 Watts
- -b) 7.963E-04 Watts
- -c) 8.759E-04 Watts
- +d) 9.635E-04 Watts
- -e) 1.060E-03 Watts

4) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=4 V. The resistance, inductance, and capacitance are R =0.25 Ω, L= 4.80E-03H , and C=2.60E-06 F, respectively.

- -a) Q = 1.300E+02
- -b) Q = 1.495E+02
- +c) Q = 1.719E+02
- -d) Q = 1.976E+02
- -e) Q = 2.273E+02

Click these links for the keys:

#### Key: B2[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 8.00E+04 Hz and an amplitude of 2 V. If R =7 Ω, L= 4.60E-03H , and C=5.30E-06 F, what is the rms power transferred to the resistor?

- +a) 1.047E-04 Watts
- -b) 1.151E-04 Watts
- -c) 1.267E-04 Watts
- -d) 1.393E-04 Watts
- -e) 1.533E-04 Watts

2) The output of an ac generator connected to an RLC series combination has a frequency of 200 Hz and an amplitude of 0.14 V;. If R =3 Ω, L= 1.70E-03H , and C=9.40E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- -a) 3.691E-01 &rad;
- +b) 4.060E-01 &rad;
- -c) 4.466E-01 &rad;
- -d) 4.913E-01 &rad;
- -e) 5.404E-01 &rad;

_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=1 V. The resistance, inductance, and capacitance are R =0.2 Ω, L= 4.30E-03H , and C=3.20E-06 F, respectively.

- -a) Q = 1.048E+02
- -b) Q = 1.205E+02
- -c) Q = 1.386E+02
- -d) Q = 1.594E+02
- +e) Q = 1.833E+02

4) An ac generator produces an emf of amplitude 70 V at a frequency of 63 Hz. What is the maximum amplitude of the current if the generator is connected to a 34 mF inductor?

- -a) 3.908E+00 A
- -b) 4.298E+00 A
- -c) 4.728E+00 A
- +d) 5.201E+00 A
- -e) 5.721E+00 A

Click these links for the keys:

### Key: C0[edit]

1) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.31 V. The resistance, inductance, and capacitance are R =5 Ω, L= 9.00E-03H , and C=5.10E-04 F, respectively. What is the amplitude of the current?

- -a) 4.235E-02 A
- -b) 4.658E-02 A
- -c) 5.124E-02 A
- -d) 5.636E-02 A
- +e) 6.200E-02 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 6.10E+04 Hz and an amplitude of 8 V. If R =5 Ω, L= 9.10E-03H , and C=8.80E-06 F, what is the rms power transferred to the resistor?

- -a) 4.320E-04 Watts
- -b) 4.752E-04 Watts
- +c) 5.227E-04 Watts
- -d) 5.750E-04 Watts
- -e) 6.325E-04 Watts

3) An ac generator produces an emf of amplitude 17 V at a frequency of 120 Hz. What is the maximum amplitude of the current if the generator is connected to a 6 mF capacitor?

- -a) 5.253E-02 A
- -b) 5.778E-02 A
- -c) 6.356E-02 A
- -d) 6.991E-02 A
- +e) 7.691E-02 A

4) The output of an ac generator connected to an RLC series combination has a frequency of 370 Hz and an amplitude of 0.14 V;. If R =3 Ω, L= 5.30E-03H , and C=5.50E-04 F, what is the impedance?

- -a) 8.958E+00 Ω
- -b) 9.854E+00 Ω
- -c) 1.084E+01 Ω
- +d) 1.192E+01 Ω
- -e) 1.312E+01 Ω

Click these links for the keys:

#### Key: C1[edit]

1) An ac generator produces an emf of amplitude 93 V at a frequency of 160 Hz. What is the maximum amplitude of the current if the generator is connected to a 70 mF capacitor?

- -a) 4.917E+00 A
- -b) 5.409E+00 A
- -c) 5.950E+00 A
- +d) 6.545E+00 A
- -e) 7.199E+00 A

2) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.62 V. The resistance, inductance, and capacitance are R =6 Ω, L= 8.10E-03H , and C=6.40E-04 F, respectively. What is the amplitude of the current?

- -a) 7.058E-02 A
- -b) 7.764E-02 A
- -c) 8.540E-02 A
- -d) 9.394E-02 A
- +e) 1.033E-01 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 740 Hz and an amplitude of 0.66 V;. If R =3 Ω, L= 2.40E-03H , and C=5.70E-04 F, what is the impedance?

- +a) 1.119E+01 Ω
- -b) 1.231E+01 Ω
- -c) 1.354E+01 Ω
- -d) 1.490E+01 Ω
- -e) 1.639E+01 Ω

- -a) 2.222E-05 Watts
- -b) 2.444E-05 Watts
- -c) 2.689E-05 Watts
- -d) 2.958E-05 Watts
- +e) 3.253E-05 Watts

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#### Key: C2[edit]

1) An ac generator produces an emf of amplitude 53 V at a frequency of 190 Hz. What is the maximum amplitude of the current if the generator is connected to a 85 mF capacitor?

- -a) 4.445E+00 A
- -b) 4.889E+00 A
- +c) 5.378E+00 A
- -d) 5.916E+00 A
- -e) 6.507E+00 A

- -a) 8.123E+00 Ω
- -b) 8.935E+00 Ω
- -c) 9.828E+00 Ω
- +d) 1.081E+01 Ω
- -e) 1.189E+01 Ω

_{0}sin(ωt), where V_{0}=0.88 V. The resistance, inductance, and capacitance are R =7 Ω, L= 8.00E-03H , and C=5.50E-04 F, respectively. What is the amplitude of the current?

- -a) 1.143E-01 A
- +b) 1.257E-01 A
- -c) 1.383E-01 A
- -d) 1.521E-01 A
- -e) 1.673E-01 A

4) The output of an ac generator connected to an RLC series combination has a frequency of 6.10E+04 Hz and an amplitude of 8 V. If R =5 Ω, L= 9.10E-03H , and C=8.80E-06 F, what is the rms power transferred to the resistor?

- -a) 4.320E-04 Watts
- -b) 4.752E-04 Watts
- +c) 5.227E-04 Watts
- -d) 5.750E-04 Watts
- -e) 6.325E-04 Watts

Click these links for the keys:

### Key: D0[edit]

1) A step-down transformer steps 8 kV down to 220 V. The high-voltage input is provided by a 110 Ω power line that carries 8 A of currentWhat is the output current (at the 220 V side ?)

- -a) 2.404E+02 A
- -b) 2.645E+02 A
- +c) 2.909E+02 A
- -d) 3.200E+02 A
- -e) 3.520E+02 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 2.70E+04 Hz and an amplitude of 8 V. If R =4 Ω, L= 9.10E-03H , and C=9.60E-06 F, what is the rms power transferred to the resistor?

- +a) 2.188E-03 Watts
- -b) 2.407E-03 Watts
- -c) 2.647E-03 Watts
- -d) 2.912E-03 Watts
- -e) 3.203E-03 Watts

3) An ac generator produces an emf of amplitude 76 V at a frequency of 180 Hz. What is the maximum amplitude of the current if the generator is connected to a 14 mF inductor?

- -a) 3.606E+00 A
- -b) 3.967E+00 A
- -c) 4.364E+00 A
- +d) 4.800E+00 A
- -e) 5.280E+00 A

4) The output of an ac generator connected to an RLC series combination has a frequency of 760 Hz and an amplitude of 0.18 V;. If R =6 Ω, L= 7.50E-03H , and C=7.50E-04 F, what is the impedance?

- -a) 2.708E+01 Ω
- -b) 2.978E+01 Ω
- -c) 3.276E+01 Ω
- +d) 3.604E+01 Ω
- -e) 3.964E+01 Ω

Click these links for the keys:

#### Key: D1[edit]

- -a) 4.320E-04 Watts
- -b) 4.752E-04 Watts
- +c) 5.227E-04 Watts
- -d) 5.750E-04 Watts
- -e) 6.325E-04 Watts

2) An ac generator produces an emf of amplitude 37 V at a frequency of 100 Hz. What is the maximum amplitude of the current if the generator is connected to a 86 mF inductor?

- -a) 4.677E-01 A
- -b) 5.145E-01 A
- -c) 5.659E-01 A
- -d) 6.225E-01 A
- +e) 6.847E-01 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 370 Hz and an amplitude of 0.14 V;. If R =3 Ω, L= 5.30E-03H , and C=5.50E-04 F, what is the impedance?

- -a) 8.958E+00 Ω
- -b) 9.854E+00 Ω
- -c) 1.084E+01 Ω
- +d) 1.192E+01 Ω
- -e) 1.312E+01 Ω

4) A step-down transformer steps 6 kV down to 190 V. The high-voltage input is provided by a 130 Ω power line that carries 6 A of currentWhat is the output current (at the 190 V side ?)

- -a) 1.424E+02 A
- -b) 1.566E+02 A
- -c) 1.722E+02 A
- +d) 1.895E+02 A
- -e) 2.084E+02 A

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#### Key: D2[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 5.00E+04 Hz and an amplitude of 5 V. If R =6 Ω, L= 2.50E-03H , and C=5.20E-06 F, what is the rms power transferred to the resistor?

- +a) 5.097E-03 Watts
- -b) 5.607E-03 Watts
- -c) 6.167E-03 Watts
- -d) 6.784E-03 Watts
- -e) 7.463E-03 Watts

2) A step-down transformer steps 9 kV down to 210 V. The high-voltage input is provided by a 170 Ω power line that carries 5 A of currentWhat is the output current (at the 210 V side ?)

- -a) 1.948E+02 A
- +b) 2.143E+02 A
- -c) 2.357E+02 A
- -d) 2.593E+02 A
- -e) 2.852E+02 A

3) An ac generator produces an emf of amplitude 37 V at a frequency of 100 Hz. What is the maximum amplitude of the current if the generator is connected to a 86 mF inductor?

- -a) 4.677E-01 A
- -b) 5.145E-01 A
- -c) 5.659E-01 A
- -d) 6.225E-01 A
- +e) 6.847E-01 A

4) The output of an ac generator connected to an RLC series combination has a frequency of 490 Hz and an amplitude of 0.68 V;. If R =9 Ω, L= 5.80E-03H , and C=9.50E-04 F, what is the impedance?

- +a) 1.969E+01 Ω
- -b) 2.166E+01 Ω
- -c) 2.383E+01 Ω
- -d) 2.621E+01 Ω
- -e) 2.883E+01 Ω

Click these links for the keys:

### Key: E0[edit]

1) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.8 V. The resistance, inductance, and capacitance are R =7 Ω, L= 4.90E-03H , and C=8.50E-04 F, respectively. What is the amplitude of the current?

- -a) 1.039E-01 A
- +b) 1.143E-01 A
- -c) 1.257E-01 A
- -d) 1.383E-01 A
- -e) 1.521E-01 A

2) A step-down transformer steps 12 kV down to 170 V. The high-voltage input is provided by a 140 Ω power line that carries 9 A of currentWhat is the output current (at the 170 V side ?)

- -a) 4.773E+02 A
- -b) 5.250E+02 A
- -c) 5.775E+02 A
- +d) 6.353E+02 A
- -e) 6.988E+02 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 470 Hz and an amplitude of 0.67 V;. If R =4 Ω, L= 2.40E-03H , and C=5.10E-04 F, what is the impedance?

- -a) 6.254E+00 Ω
- -b) 6.879E+00 Ω
- +c) 7.567E+00 Ω
- -d) 8.324E+00 Ω
- -e) 9.156E+00 Ω

4) An ac generator produces an emf of amplitude 85 V at a frequency of 160 Hz. What is the maximum amplitude of the current if the generator is connected to a 59 mF capacitor?

- +a) 5.042E+00 A
- -b) 5.546E+00 A
- -c) 6.100E+00 A
- -d) 6.710E+00 A
- -e) 7.381E+00 A

Click these links for the keys:

#### Key: E1[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 690 Hz and an amplitude of 0.4 V;. If R =3 Ω, L= 3.00E-03H , and C=8.30E-04 F, what is the impedance?

- +a) 1.308E+01 Ω
- -b) 1.438E+01 Ω
- -c) 1.582E+01 Ω
- -d) 1.741E+01 Ω
- -e) 1.915E+01 Ω

2) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.83 V. The resistance, inductance, and capacitance are R =9 Ω, L= 8.50E-03H , and C=7.20E-04 F, respectively. What is the amplitude of the current?

- -a) 8.384E-02 A
- +b) 9.222E-02 A
- -c) 1.014E-01 A
- -d) 1.116E-01 A
- -e) 1.227E-01 A

3) An ac generator produces an emf of amplitude 93 V at a frequency of 160 Hz. What is the maximum amplitude of the current if the generator is connected to a 70 mF capacitor?

- -a) 4.917E+00 A
- -b) 5.409E+00 A
- -c) 5.950E+00 A
- +d) 6.545E+00 A
- -e) 7.199E+00 A

4) A step-down transformer steps 18 kV down to 260 V. The high-voltage input is provided by a 290 Ω power line that carries 3 A of currentWhat is the output current (at the 260 V side ?)

- -a) 1.888E+02 A
- +b) 2.077E+02 A
- -c) 2.285E+02 A
- -d) 2.513E+02 A
- -e) 2.764E+02 A

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#### Key: E2[edit]

1) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.25 V. The resistance, inductance, and capacitance are R =7 Ω, L= 5.00E-03H , and C=7.70E-04 F, respectively. What is the amplitude of the current?

- -a) 2.439E-02 A
- -b) 2.683E-02 A
- -c) 2.952E-02 A
- -d) 3.247E-02 A
- +e) 3.571E-02 A

2) An ac generator produces an emf of amplitude 71 V at a frequency of 68 Hz. What is the maximum amplitude of the current if the generator is connected to a 35 mF capacitor?

- -a) 7.252E-01 A
- -b) 7.977E-01 A
- -c) 8.775E-01 A
- -d) 9.652E-01 A
- +e) 1.062E+00 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 290 Hz and an amplitude of 0.75 V;. If R =2 Ω, L= 8.00E-03H , and C=9.90E-04 F, what is the impedance?

- -a) 9.675E+00 Ω
- -b) 1.064E+01 Ω
- -c) 1.171E+01 Ω
- -d) 1.288E+01 Ω
- +e) 1.416E+01 Ω

4) A step-down transformer steps 19 kV down to 260 V. The high-voltage input is provided by a 290 Ω power line that carries 6 A of currentWhat is the output current (at the 260 V side ?)

- -a) 3.294E+02 A
- -b) 3.624E+02 A
- -c) 3.986E+02 A
- +d) 4.385E+02 A
- -e) 4.823E+02 A

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### Key: F0[edit]

1) A step-down transformer steps 18 kV down to 170 V. The high-voltage input is provided by a 230 Ω power line that carries 5 A of currentWhat is the output current (at the 170 V side ?)

- -a) 4.375E+02 A
- -b) 4.813E+02 A
- +c) 5.294E+02 A
- -d) 5.824E+02 A
- -e) 6.406E+02 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 5.40E+04 Hz and an amplitude of 6 V. If R =2 Ω, L= 6.80E-03H , and C=9.90E-06 F, what is the rms power transferred to the resistor?

- -a) 2.452E-04 Watts
- +b) 2.697E-04 Watts
- -c) 2.967E-04 Watts
- -d) 3.264E-04 Watts
- -e) 3.590E-04 Watts

3) An ac generator produces an emf of amplitude 46 V at a frequency of 160 Hz. What is the maximum amplitude of the current if the generator is connected to a 63 mF inductor?

- -a) 4.961E-01 A
- -b) 5.457E-01 A
- -c) 6.002E-01 A
- -d) 6.603E-01 A
- +e) 7.263E-01 A

4) The output of an ac generator connected to an RLC series combination has a frequency of 290 Hz and an amplitude of 0.75 V;. If R =2 Ω, L= 8.00E-03H , and C=9.90E-04 F, what is the impedance?

- -a) 9.675E+00 Ω
- -b) 1.064E+01 Ω
- -c) 1.171E+01 Ω
- -d) 1.288E+01 Ω
- +e) 1.416E+01 Ω

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#### Key: F1[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 3.60E+04 Hz and an amplitude of 9 V. If R =2 Ω, L= 7.60E-03H , and C=7.50E-06 F, what is the rms power transferred to the resistor?

- -a) 1.011E-03 Watts
- +b) 1.112E-03 Watts
- -c) 1.223E-03 Watts
- -d) 1.345E-03 Watts
- -e) 1.480E-03 Watts

2) The output of an ac generator connected to an RLC series combination has a frequency of 650 Hz and an amplitude of 0.3 V;. If R =3 Ω, L= 4.90E-03H , and C=8.20E-04 F, what is the impedance?

- -a) 1.813E+01 Ω
- +b) 1.994E+01 Ω
- -c) 2.193E+01 Ω
- -d) 2.413E+01 Ω
- -e) 2.654E+01 Ω

3) An ac generator produces an emf of amplitude 70 V at a frequency of 63 Hz. What is the maximum amplitude of the current if the generator is connected to a 34 mF inductor?

- -a) 3.908E+00 A
- -b) 4.298E+00 A
- -c) 4.728E+00 A
- +d) 5.201E+00 A
- -e) 5.721E+00 A

4) A step-down transformer steps 18 kV down to 170 V. The high-voltage input is provided by a 230 Ω power line that carries 5 A of currentWhat is the output current (at the 170 V side ?)

- -a) 4.375E+02 A
- -b) 4.813E+02 A
- +c) 5.294E+02 A
- -d) 5.824E+02 A
- -e) 6.406E+02 A

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#### Key: F2[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 1.00E+03 Hz and an amplitude of 0.6 V;. If R =3 Ω, L= 1.70E-03H , and C=5.40E-04 F, what is the impedance?

- -a) 8.123E+00 Ω
- -b) 8.935E+00 Ω
- -c) 9.828E+00 Ω
- +d) 1.081E+01 Ω
- -e) 1.189E+01 Ω

- -a) 3.014E-01 A
- +b) 3.316E-01 A
- -c) 3.647E-01 A
- -d) 4.012E-01 A
- -e) 4.413E-01 A

3) A step-down transformer steps 7 kV down to 190 V. The high-voltage input is provided by a 240 Ω power line that carries 5 A of currentWhat is the output current (at the 190 V side ?)

- -a) 1.675E+02 A
- +b) 1.842E+02 A
- -c) 2.026E+02 A
- -d) 2.229E+02 A
- -e) 2.452E+02 A

4) The output of an ac generator connected to an RLC series combination has a frequency of 2.70E+04 Hz and an amplitude of 8 V. If R =4 Ω, L= 9.10E-03H , and C=9.60E-06 F, what is the rms power transferred to the resistor?

- +a) 2.188E-03 Watts
- -b) 2.407E-03 Watts
- -c) 2.647E-03 Watts
- -d) 2.912E-03 Watts
- -e) 3.203E-03 Watts

Click these links for the keys:

### Key: G0[edit]

1) A step-down transformer steps 18 kV down to 260 V. The high-voltage input is provided by a 290 Ω power line that carries 3 A of currentWhat is the output current (at the 260 V side ?)

- -a) 1.888E+02 A
- +b) 2.077E+02 A
- -c) 2.285E+02 A
- -d) 2.513E+02 A
- -e) 2.764E+02 A

2) An ac generator produces an emf of amplitude 53 V at a frequency of 190 Hz. What is the maximum amplitude of the current if the generator is connected to a 85 mF capacitor?

- -a) 4.445E+00 A
- -b) 4.889E+00 A
- +c) 5.378E+00 A
- -d) 5.916E+00 A
- -e) 6.507E+00 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 970 Hz and an amplitude of 0.11 V;. If R =9 Ω, L= 8.50E-03H , and C=7.00E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- +a) 1.398E+00 &rad;
- -b) 1.538E+00 &rad;
- -c) 1.692E+00 &rad;
- -d) 1.861E+00 &rad;
- -e) 2.047E+00 &rad;

4) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=5 V. The resistance, inductance, and capacitance are R =0.17 Ω, L= 4.40E-03H , and C=3.40E-06 F, respectively.

- -a) Q = 1.391E+02
- -b) Q = 1.600E+02
- -c) Q = 1.840E+02
- +d) Q = 2.116E+02
- -e) Q = 2.434E+02

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#### Key: G1[edit]

1) A step-down transformer steps 12 kV down to 170 V. The high-voltage input is provided by a 140 Ω power line that carries 9 A of currentWhat is the output current (at the 170 V side ?)

- -a) 4.773E+02 A
- -b) 5.250E+02 A
- -c) 5.775E+02 A
- +d) 6.353E+02 A
- -e) 6.988E+02 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 890 Hz and an amplitude of 0.58 V;. If R =9 Ω, L= 2.90E-03H , and C=8.30E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- -a) 7.952E-01 &rad;
- -b) 8.747E-01 &rad;
- -c) 9.622E-01 &rad;
- +d) 1.058E+00 &rad;
- -e) 1.164E+00 &rad;

_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=1 V. The resistance, inductance, and capacitance are R =0.2 Ω, L= 4.30E-03H , and C=3.20E-06 F, respectively.

- -a) Q = 1.048E+02
- -b) Q = 1.205E+02
- -c) Q = 1.386E+02
- -d) Q = 1.594E+02
- +e) Q = 1.833E+02

4) An ac generator produces an emf of amplitude 32 V at a frequency of 120 Hz. What is the maximum amplitude of the current if the generator is connected to a 14 mF capacitor?

- +a) 3.378E-01 A
- -b) 3.716E-01 A
- -c) 4.087E-01 A
- -d) 4.496E-01 A
- -e) 4.945E-01 A

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#### Key: G2[edit]

1) An ac generator produces an emf of amplitude 7 V at a frequency of 95 Hz. What is the maximum amplitude of the current if the generator is connected to a 50 mF capacitor?

- -a) 1.427E-01 A
- -b) 1.570E-01 A
- -c) 1.727E-01 A
- -d) 1.899E-01 A
- +e) 2.089E-01 A

- -a) 3.691E-01 &rad;
- +b) 4.060E-01 &rad;
- -c) 4.466E-01 &rad;
- -d) 4.913E-01 &rad;
- -e) 5.404E-01 &rad;

3) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=2 V. The resistance, inductance, and capacitance are R =0.25 Ω, L= 4.20E-03H , and C=2.70E-06 F, respectively.

- -a) Q = 1.372E+02
- +b) Q = 1.578E+02
- -c) Q = 1.814E+02
- -d) Q = 2.086E+02
- -e) Q = 2.399E+02

4) A step-down transformer steps 18 kV down to 170 V. The high-voltage input is provided by a 240 Ω power line that carries 5 A of currentWhat is the output current (at the 170 V side ?)

- +a) 5.294E+02 A
- -b) 5.824E+02 A
- -c) 6.406E+02 A
- -d) 7.046E+02 A
- -e) 7.751E+02 A

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### Key: H0[edit]

1) An ac generator produces an emf of amplitude 73 V at a frequency of 110 Hz. What is the maximum amplitude of the current if the generator is connected to a 70 mF inductor?

- -a) 1.134E+00 A
- -b) 1.247E+00 A
- -c) 1.372E+00 A
- +d) 1.509E+00 A
- -e) 1.660E+00 A

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=5 V. The resistance, inductance, and capacitance are R =0.27 Ω, L= 4.30E-03H , and C=2.20E-06 F, respectively.

- -a) Q = 1.238E+02
- -b) Q = 1.424E+02
- +c) Q = 1.637E+02
- -d) Q = 1.883E+02
- -e) Q = 2.165E+02

3) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.83 V. The resistance, inductance, and capacitance are R =9 Ω, L= 8.50E-03H , and C=7.20E-04 F, respectively. What is the amplitude of the current?

- -a) 8.384E-02 A
- +b) 9.222E-02 A
- -c) 1.014E-01 A
- -d) 1.116E-01 A
- -e) 1.227E-01 A

4) The output of an ac generator connected to an RLC series combination has a frequency of 840 Hz and an amplitude of 0.55 V;. If R =4 Ω, L= 9.30E-03H , and C=9.40E-04 F, what is the impedance?

- -a) 3.685E+01 Ω
- -b) 4.053E+01 Ω
- -c) 4.459E+01 Ω
- +d) 4.905E+01 Ω
- -e) 5.395E+01 Ω

Click these links for the keys:

#### Key: H1[edit]

- -a) 3.606E+00 A
- -b) 3.967E+00 A
- -c) 4.364E+00 A
- +d) 4.800E+00 A
- -e) 5.280E+00 A

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=5 V. The resistance, inductance, and capacitance are R =0.21 Ω, L= 5.40E-03H , and C=3.20E-06 F, respectively.

- -a) Q = 1.286E+02
- -b) Q = 1.479E+02
- -c) Q = 1.701E+02
- +d) Q = 1.956E+02
- -e) Q = 2.250E+02

3) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.77 V. The resistance, inductance, and capacitance are R =3 Ω, L= 6.70E-03H , and C=7.10E-04 F, respectively. What is the amplitude of the current?

- -a) 2.333E-01 A
- +b) 2.567E-01 A
- -c) 2.823E-01 A
- -d) 3.106E-01 A
- -e) 3.416E-01 A

4) The output of an ac generator connected to an RLC series combination has a frequency of 420 Hz and an amplitude of 0.73 V;. If R =2 Ω, L= 9.60E-03H , and C=7.80E-04 F, what is the impedance?

- -a) 2.060E+01 Ω
- -b) 2.266E+01 Ω
- +c) 2.493E+01 Ω
- -d) 2.742E+01 Ω
- -e) 3.016E+01 Ω

Click these links for the keys:

#### Key: H2[edit]

1) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=3 V. The resistance, inductance, and capacitance are R =0.21 Ω, L= 4.70E-03H , and C=3.70E-06 F, respectively.

- -a) Q = 1.476E+02
- +b) Q = 1.697E+02
- -c) Q = 1.952E+02
- -d) Q = 2.245E+02
- -e) Q = 2.581E+02

2) An ac generator produces an emf of amplitude 97 V at a frequency of 64 Hz. What is the maximum amplitude of the current if the generator is connected to a 55 mF inductor?

- +a) 4.386E+00 A
- -b) 4.824E+00 A
- -c) 5.307E+00 A
- -d) 5.838E+00 A
- -e) 6.421E+00 A

- +a) 1.119E+01 Ω
- -b) 1.231E+01 Ω
- -c) 1.354E+01 Ω
- -d) 1.490E+01 Ω
- -e) 1.639E+01 Ω

4) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.44 V. The resistance, inductance, and capacitance are R =7 Ω, L= 5.40E-03H , and C=5.70E-04 F, respectively. What is the amplitude of the current?

- -a) 4.723E-02 A
- -b) 5.195E-02 A
- -c) 5.714E-02 A
- +d) 6.286E-02 A
- -e) 6.914E-02 A

Click these links for the keys:

### Key: I0[edit]

1) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=4 V. The resistance, inductance, and capacitance are R =0.2 Ω, L= 4.90E-03H , and C=2.10E-06 F, respectively.

- -a) Q = 1.381E+02
- -b) Q = 1.588E+02
- -c) Q = 1.826E+02
- -d) Q = 2.100E+02
- +e) Q = 2.415E+02

2) An ac generator produces an emf of amplitude 66 V at a frequency of 180 Hz. What is the maximum amplitude of the current if the generator is connected to a 97 mF inductor?

- -a) 4.972E-01 A
- -b) 5.469E-01 A
- +c) 6.016E-01 A
- -d) 6.618E-01 A
- -e) 7.280E-01 A

3) A step-down transformer steps 15 kV down to 240 V. The high-voltage input is provided by a 120 Ω power line that carries 3 A of currentWhat is the output current (at the 240 V side ?)

- -a) 1.550E+02 A
- -b) 1.705E+02 A
- +c) 1.875E+02 A
- -d) 2.063E+02 A
- -e) 2.269E+02 A

4) An ac generator produces an emf of amplitude 98 V at a frequency of 110 Hz. What is the maximum amplitude of the current if the generator is connected to a 2 mF capacitor?

- -a) 1.232E-01 A
- +b) 1.355E-01 A
- -c) 1.490E-01 A
- -d) 1.639E-01 A
- -e) 1.803E-01 A

Click these links for the keys:

#### Key: I1[edit]

- -a) 4.375E+02 A
- -b) 4.813E+02 A
- +c) 5.294E+02 A
- -d) 5.824E+02 A
- -e) 6.406E+02 A

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=4 V. The resistance, inductance, and capacitance are R =0.2 Ω, L= 5.00E-03H , and C=3.20E-06 F, respectively.

- -a) Q = 1.300E+02
- -b) Q = 1.494E+02
- -c) Q = 1.719E+02
- +d) Q = 1.976E+02
- -e) Q = 2.273E+02

3) An ac generator produces an emf of amplitude 69 V at a frequency of 180 Hz. What is the maximum amplitude of the current if the generator is connected to a 57 mF inductor?

- +a) 1.070E+00 A
- -b) 1.177E+00 A
- -c) 1.295E+00 A
- -d) 1.425E+00 A
- -e) 1.567E+00 A

4) An ac generator produces an emf of amplitude 50 V at a frequency of 47 Hz. What is the maximum amplitude of the current if the generator is connected to a 88 mF capacitor?

- -a) 1.074E+00 A
- -b) 1.181E+00 A
- +c) 1.299E+00 A
- -d) 1.429E+00 A
- -e) 1.572E+00 A

Click these links for the keys:

#### Key: I2[edit]

- -a) 3.606E+00 A
- -b) 3.967E+00 A
- -c) 4.364E+00 A
- +d) 4.800E+00 A
- -e) 5.280E+00 A

2) A step-down transformer steps 18 kV down to 230 V. The high-voltage input is provided by a 250 Ω power line that carries 8 A of currentWhat is the output current (at the 230 V side ?)

- -a) 5.174E+02 A
- -b) 5.692E+02 A
- +c) 6.261E+02 A
- -d) 6.887E+02 A
- -e) 7.576E+02 A

3) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=3 V. The resistance, inductance, and capacitance are R =0.14 Ω, L= 5.20E-03H , and C=2.90E-06 F, respectively.

- -a) Q = 2.287E+02
- -b) Q = 2.630E+02
- +c) Q = 3.025E+02
- -d) Q = 3.478E+02
- -e) Q = 4.000E+02

4) An ac generator produces an emf of amplitude 90 V at a frequency of 64 Hz. What is the maximum amplitude of the current if the generator is connected to a 16 mF capacitor?

- -a) 4.351E-01 A
- -b) 4.786E-01 A
- -c) 5.264E-01 A
- +d) 5.791E-01 A
- -e) 6.370E-01 A

Click these links for the keys:

### Key: J0[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 280 Hz and an amplitude of 0.35 V;. If R =5 Ω, L= 9.50E-03H , and C=6.90E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- -a) 8.646E-01 &rad;
- -b) 9.511E-01 &rad;
- -c) 1.046E+00 &rad;
- -d) 1.151E+00 &rad;
- +e) 1.266E+00 &rad;

2) An ac generator produces an emf of amplitude 73 V at a frequency of 110 Hz. What is the maximum amplitude of the current if the generator is connected to a 70 mF inductor?

- -a) 1.134E+00 A
- -b) 1.247E+00 A
- -c) 1.372E+00 A
- +d) 1.509E+00 A
- -e) 1.660E+00 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 5.40E+04 Hz and an amplitude of 6 V. If R =2 Ω, L= 6.80E-03H , and C=9.90E-06 F, what is the rms power transferred to the resistor?

- -a) 2.452E-04 Watts
- +b) 2.697E-04 Watts
- -c) 2.967E-04 Watts
- -d) 3.264E-04 Watts
- -e) 3.590E-04 Watts

4) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.25 V. The resistance, inductance, and capacitance are R =3 Ω, L= 2.20E-03H , and C=6.30E-04 F, respectively. What is the amplitude of the current?

- -a) 7.576E-02 A
- +b) 8.333E-02 A
- -c) 9.167E-02 A
- -d) 1.008E-01 A
- -e) 1.109E-01 A

Click these links for the keys:

#### Key: J1[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 5.40E+04 Hz and an amplitude of 6 V. If R =2 Ω, L= 6.80E-03H , and C=9.90E-06 F, what is the rms power transferred to the resistor?

- -a) 2.452E-04 Watts
- +b) 2.697E-04 Watts
- -c) 2.967E-04 Watts
- -d) 3.264E-04 Watts
- -e) 3.590E-04 Watts

2) An ac generator produces an emf of amplitude 70 V at a frequency of 63 Hz. What is the maximum amplitude of the current if the generator is connected to a 34 mF inductor?

- -a) 3.908E+00 A
- -b) 4.298E+00 A
- -c) 4.728E+00 A
- +d) 5.201E+00 A
- -e) 5.721E+00 A

3) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.64 V. The resistance, inductance, and capacitance are R =2 Ω, L= 4.00E-03H , and C=8.30E-04 F, respectively. What is the amplitude of the current?

- +a) 3.200E-01 A
- -b) 3.520E-01 A
- -c) 3.872E-01 A
- -d) 4.259E-01 A
- -e) 4.685E-01 A

4) The output of an ac generator connected to an RLC series combination has a frequency of 830 Hz and an amplitude of 0.73 V;. If R =8 Ω, L= 2.80E-03H , and C=5.80E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- -a) 8.759E-01 &rad;
- -b) 9.635E-01 &rad;
- +c) 1.060E+00 &rad;
- -d) 1.166E+00 &rad;
- -e) 1.282E+00 &rad;

Click these links for the keys:

#### Key: J2[edit]

1) An ac generator produces an emf of amplitude 69 V at a frequency of 180 Hz. What is the maximum amplitude of the current if the generator is connected to a 57 mF inductor?

- +a) 1.070E+00 A
- -b) 1.177E+00 A
- -c) 1.295E+00 A
- -d) 1.425E+00 A
- -e) 1.567E+00 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 160 Hz and an amplitude of 0.47 V;. If R =8 Ω, L= 1.30E-03H , and C=6.40E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- -a) 2.111E-02 &rad;
- -b) 2.322E-02 &rad;
- -c) 2.554E-02 &rad;
- -d) 2.810E-02 &rad;
- +e) 3.091E-02 &rad;

_{0}sin(ωt), where V_{0}=0.75 V. The resistance, inductance, and capacitance are R =5 Ω, L= 9.90E-03H , and C=6.80E-04 F, respectively. What is the amplitude of the current?

- -a) 1.240E-01 A
- -b) 1.364E-01 A
- +c) 1.500E-01 A
- -d) 1.650E-01 A
- -e) 1.815E-01 A

- -a) 1.511E-03 Watts
- -b) 1.662E-03 Watts
- -c) 1.828E-03 Watts
- -d) 2.011E-03 Watts
- +e) 2.212E-03 Watts

Click these links for the keys:

### Key: K0[edit]

1) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=2 V. The resistance, inductance, and capacitance are R =0.25 Ω, L= 5.40E-03H , and C=3.20E-06 F, respectively.

- -a) Q = 9.395E+01
- -b) Q = 1.080E+02
- -c) Q = 1.242E+02
- -d) Q = 1.429E+02
- +e) Q = 1.643E+02

_{0}sin(ωt), where V_{0}=0.62 V. The resistance, inductance, and capacitance are R =6 Ω, L= 8.10E-03H , and C=6.40E-04 F, respectively. What is the amplitude of the current?

- -a) 7.058E-02 A
- -b) 7.764E-02 A
- -c) 8.540E-02 A
- -d) 9.394E-02 A
- +e) 1.033E-01 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 300 Hz and an amplitude of 0.76 V;. If R =5 Ω, L= 6.10E-03H , and C=5.80E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- -a) 7.714E-01 &rad;
- -b) 8.486E-01 &rad;
- -c) 9.334E-01 &rad;
- -d) 1.027E+00 &rad;
- +e) 1.129E+00 &rad;

4) An ac generator produces an emf of amplitude 97 V at a frequency of 64 Hz. What is the maximum amplitude of the current if the generator is connected to a 55 mF inductor?

- +a) 4.386E+00 A
- -b) 4.824E+00 A
- -c) 5.307E+00 A
- -d) 5.838E+00 A
- -e) 6.421E+00 A

Click these links for the keys:

#### Key: K1[edit]

1) An ac generator produces an emf of amplitude 46 V at a frequency of 160 Hz. What is the maximum amplitude of the current if the generator is connected to a 63 mF inductor?

- -a) 4.961E-01 A
- -b) 5.457E-01 A
- -c) 6.002E-01 A
- -d) 6.603E-01 A
- +e) 7.263E-01 A

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=3 V. The resistance, inductance, and capacitance are R =0.29 Ω, L= 4.80E-03H , and C=2.60E-06 F, respectively.

- -a) Q = 1.288E+02
- +b) Q = 1.482E+02
- -c) Q = 1.704E+02
- -d) Q = 1.959E+02
- -e) Q = 2.253E+02

3) The output of an ac generator connected to an RLC series combination has a frequency of 200 Hz and an amplitude of 0.14 V;. If R =3 Ω, L= 1.70E-03H , and C=9.40E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- -a) 3.691E-01 &rad;
- +b) 4.060E-01 &rad;
- -c) 4.466E-01 &rad;
- -d) 4.913E-01 &rad;
- -e) 5.404E-01 &rad;

_{0}sin(ωt), where V_{0}=0.64 V. The resistance, inductance, and capacitance are R =2 Ω, L= 4.00E-03H , and C=8.30E-04 F, respectively. What is the amplitude of the current?

- +a) 3.200E-01 A
- -b) 3.520E-01 A
- -c) 3.872E-01 A
- -d) 4.259E-01 A
- -e) 4.685E-01 A

Click these links for the keys:

#### Key: K2[edit]

1) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.64 V. The resistance, inductance, and capacitance are R =2 Ω, L= 4.00E-03H , and C=8.30E-04 F, respectively. What is the amplitude of the current?

- +a) 3.200E-01 A
- -b) 3.520E-01 A
- -c) 3.872E-01 A
- -d) 4.259E-01 A
- -e) 4.685E-01 A

_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=5 V. The resistance, inductance, and capacitance are R =0.21 Ω, L= 5.40E-03H , and C=3.20E-06 F, respectively.

- -a) Q = 1.286E+02
- -b) Q = 1.479E+02
- -c) Q = 1.701E+02
- +d) Q = 1.956E+02
- -e) Q = 2.250E+02

3) The output of an ac generator connected to an RLC series combination has a frequency of 280 Hz and an amplitude of 0.35 V;. If R =5 Ω, L= 9.50E-03H , and C=6.90E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- -a) 8.646E-01 &rad;
- -b) 9.511E-01 &rad;
- -c) 1.046E+00 &rad;
- -d) 1.151E+00 &rad;
- +e) 1.266E+00 &rad;

4) An ac generator produces an emf of amplitude 5 V at a frequency of 52 Hz. What is the maximum amplitude of the current if the generator is connected to a 49 mF inductor?

- -a) 2.839E-01 A
- +b) 3.123E-01 A
- -c) 3.435E-01 A
- -d) 3.779E-01 A
- -e) 4.157E-01 A

Click these links for the keys:

### Key: L0[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 160 Hz and an amplitude of 0.47 V;. If R =8 Ω, L= 1.30E-03H , and C=6.40E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- -a) 2.111E-02 &rad;
- -b) 2.322E-02 &rad;
- -c) 2.554E-02 &rad;
- -d) 2.810E-02 &rad;
- +e) 3.091E-02 &rad;

2) The output of an ac generator connected to an RLC series combination has a frequency of 4.00E+04 Hz and an amplitude of 8 V. If R =4 Ω, L= 7.00E-03H , and C=6.60E-06 F, what is the rms power transferred to the resistor?

- -a) 1.146E-03 Watts
- -b) 1.260E-03 Watts
- -c) 1.386E-03 Watts
- -d) 1.525E-03 Watts
- +e) 1.677E-03 Watts

3) An ac generator produces an emf of amplitude 53 V at a frequency of 190 Hz. What is the maximum amplitude of the current if the generator is connected to a 85 mF capacitor?

- -a) 4.445E+00 A
- -b) 4.889E+00 A
- +c) 5.378E+00 A
- -d) 5.916E+00 A
- -e) 6.507E+00 A

_{0}sin(ωt), where V_{0}=0.77 V. The resistance, inductance, and capacitance are R =3 Ω, L= 6.70E-03H , and C=7.10E-04 F, respectively. What is the amplitude of the current?

- -a) 2.333E-01 A
- +b) 2.567E-01 A
- -c) 2.823E-01 A
- -d) 3.106E-01 A
- -e) 3.416E-01 A

Click these links for the keys:

#### Key: L1[edit]

- -a) 9.380E-01 &rad;
- -b) 1.032E+00 &rad;
- -c) 1.135E+00 &rad;
- -d) 1.248E+00 &rad;
- +e) 1.373E+00 &rad;

2) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.25 V. The resistance, inductance, and capacitance are R =7 Ω, L= 5.00E-03H , and C=7.70E-04 F, respectively. What is the amplitude of the current?

- -a) 2.439E-02 A
- -b) 2.683E-02 A
- -c) 2.952E-02 A
- -d) 3.247E-02 A
- +e) 3.571E-02 A

3) An ac generator produces an emf of amplitude 8 V at a frequency of 85 Hz. What is the maximum amplitude of the current if the generator is connected to a 16 mF capacitor?

- -a) 4.669E-02 A
- -b) 5.136E-02 A
- -c) 5.650E-02 A
- -d) 6.215E-02 A
- +e) 6.836E-02 A

- +a) 2.188E-03 Watts
- -b) 2.407E-03 Watts
- -c) 2.647E-03 Watts
- -d) 2.912E-03 Watts
- -e) 3.203E-03 Watts

Click these links for the keys:

#### Key: L2[edit]

- -a) 1.011E-03 Watts
- +b) 1.112E-03 Watts
- -c) 1.223E-03 Watts
- -d) 1.345E-03 Watts
- -e) 1.480E-03 Watts

2) The output of an ac generator connected to an RLC series combination has a frequency of 480 Hz and an amplitude of 0.63 V;. If R =7 Ω, L= 3.80E-03H , and C=5.30E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- +a) 9.972E-01 &rad;
- -b) 1.097E+00 &rad;
- -c) 1.207E+00 &rad;
- -d) 1.327E+00 &rad;
- -e) 1.460E+00 &rad;

3) An ac generator produces an emf of amplitude 51 V at a frequency of 57 Hz. What is the maximum amplitude of the current if the generator is connected to a 99 mF capacitor?

- -a) 1.644E+00 A
- +b) 1.808E+00 A
- -c) 1.989E+00 A
- -d) 2.188E+00 A
- -e) 2.407E+00 A

4) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.8 V. The resistance, inductance, and capacitance are R =7 Ω, L= 4.90E-03H , and C=8.50E-04 F, respectively. What is the amplitude of the current?

- -a) 1.039E-01 A
- +b) 1.143E-01 A
- -c) 1.257E-01 A
- -d) 1.383E-01 A
- -e) 1.521E-01 A

Click these links for the keys:

### Key: M0[edit]

1) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.75 V. The resistance, inductance, and capacitance are R =5 Ω, L= 9.90E-03H , and C=6.80E-04 F, respectively. What is the amplitude of the current?

- -a) 1.240E-01 A
- -b) 1.364E-01 A
- +c) 1.500E-01 A
- -d) 1.650E-01 A
- -e) 1.815E-01 A

- -a) 3.908E+00 A
- -b) 4.298E+00 A
- -c) 4.728E+00 A
- +d) 5.201E+00 A
- -e) 5.721E+00 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 690 Hz and an amplitude of 0.4 V;. If R =3 Ω, L= 3.00E-03H , and C=8.30E-04 F, what is the impedance?

- +a) 1.308E+01 Ω
- -b) 1.438E+01 Ω
- -c) 1.582E+01 Ω
- -d) 1.741E+01 Ω
- -e) 1.915E+01 Ω

4) The output of an ac generator connected to an RLC series combination has a frequency of 970 Hz and an amplitude of 0.11 V;. If R =9 Ω, L= 8.50E-03H , and C=7.00E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- +a) 1.398E+00 &rad;
- -b) 1.538E+00 &rad;
- -c) 1.692E+00 &rad;
- -d) 1.861E+00 &rad;
- -e) 2.047E+00 &rad;

Click these links for the keys:

#### Key: M1[edit]

1) An ac generator produces an emf of amplitude 7 V at a frequency of 190 Hz. What is the maximum amplitude of the current if the generator is connected to a 44 mF inductor?

- -a) 9.102E-02 A
- -b) 1.001E-01 A
- -c) 1.101E-01 A
- -d) 1.211E-01 A
- +e) 1.333E-01 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 760 Hz and an amplitude of 0.43 V;. If R =7 Ω, L= 7.40E-03H , and C=6.00E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- -a) 9.380E-01 &rad;
- -b) 1.032E+00 &rad;
- -c) 1.135E+00 &rad;
- -d) 1.248E+00 &rad;
- +e) 1.373E+00 &rad;

3) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.44 V. The resistance, inductance, and capacitance are R =7 Ω, L= 5.40E-03H , and C=5.70E-04 F, respectively. What is the amplitude of the current?

- -a) 4.723E-02 A
- -b) 5.195E-02 A
- -c) 5.714E-02 A
- +d) 6.286E-02 A
- -e) 6.914E-02 A

- -a) 2.708E+01 Ω
- -b) 2.978E+01 Ω
- -c) 3.276E+01 Ω
- +d) 3.604E+01 Ω
- -e) 3.964E+01 Ω

Click these links for the keys:

#### Key: M2[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 810 Hz and an amplitude of 0.64 V;. If R =6 Ω, L= 8.70E-03H , and C=8.20E-04 F, what is the impedance?

- +a) 4.444E+01 Ω
- -b) 4.889E+01 Ω
- -c) 5.378E+01 Ω
- -d) 5.916E+01 Ω
- -e) 6.507E+01 Ω

- +a) 1.070E+00 A
- -b) 1.177E+00 A
- -c) 1.295E+00 A
- -d) 1.425E+00 A
- -e) 1.567E+00 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 860 Hz and an amplitude of 0.59 V;. If R =9 Ω, L= 8.40E-03H , and C=8.80E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- -a) 1.032E+00 &rad;
- -b) 1.136E+00 &rad;
- -c) 1.249E+00 &rad;
- +d) 1.374E+00 &rad;
- -e) 1.512E+00 &rad;

_{0}sin(ωt), where V_{0}=0.8 V. The resistance, inductance, and capacitance are R =7 Ω, L= 4.90E-03H , and C=8.50E-04 F, respectively. What is the amplitude of the current?

- -a) 1.039E-01 A
- +b) 1.143E-01 A
- -c) 1.257E-01 A
- -d) 1.383E-01 A
- -e) 1.521E-01 A

Click these links for the keys:

### Key: N0[edit]

1) An ac generator produces an emf of amplitude 90 V at a frequency of 64 Hz. What is the maximum amplitude of the current if the generator is connected to a 16 mF capacitor?

- -a) 4.351E-01 A
- -b) 4.786E-01 A
- -c) 5.264E-01 A
- +d) 5.791E-01 A
- -e) 6.370E-01 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 6.10E+04 Hz and an amplitude of 9 V. If R =4 Ω, L= 3.40E-03H , and C=8.10E-06 F, what is the rms power transferred to the resistor?

- +a) 3.839E-03 Watts
- -b) 4.223E-03 Watts
- -c) 4.646E-03 Watts
- -d) 5.110E-03 Watts
- -e) 5.621E-03 Watts

3) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.25 V. The resistance, inductance, and capacitance are R =3 Ω, L= 2.20E-03H , and C=6.30E-04 F, respectively. What is the amplitude of the current?

- -a) 7.576E-02 A
- +b) 8.333E-02 A
- -c) 9.167E-02 A
- -d) 1.008E-01 A
- -e) 1.109E-01 A

4) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=5 V. The resistance, inductance, and capacitance are R =0.13 Ω, L= 5.30E-03H , and C=2.60E-06 F, respectively.

- -a) Q = 1.986E+02
- -b) Q = 2.284E+02
- -c) Q = 2.626E+02
- -d) Q = 3.020E+02
- +e) Q = 3.473E+02

Click these links for the keys:

#### Key: N1[edit]

1) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.62 V. The resistance, inductance, and capacitance are R =6 Ω, L= 8.10E-03H , and C=6.40E-04 F, respectively. What is the amplitude of the current?

- -a) 7.058E-02 A
- -b) 7.764E-02 A
- -c) 8.540E-02 A
- -d) 9.394E-02 A
- +e) 1.033E-01 A

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=5 V. The resistance, inductance, and capacitance are R =0.13 Ω, L= 5.30E-03H , and C=2.60E-06 F, respectively.

- -a) Q = 1.986E+02
- -b) Q = 2.284E+02
- -c) Q = 2.626E+02
- -d) Q = 3.020E+02
- +e) Q = 3.473E+02

3) The output of an ac generator connected to an RLC series combination has a frequency of 6.10E+04 Hz and an amplitude of 8 V. If R =5 Ω, L= 9.10E-03H , and C=8.80E-06 F, what is the rms power transferred to the resistor?

- -a) 4.320E-04 Watts
- -b) 4.752E-04 Watts
- +c) 5.227E-04 Watts
- -d) 5.750E-04 Watts
- -e) 6.325E-04 Watts

- -a) 1.232E-01 A
- +b) 1.355E-01 A
- -c) 1.490E-01 A
- -d) 1.639E-01 A
- -e) 1.803E-01 A

Click these links for the keys:

#### Key: N2[edit]

1) An ac generator produces an emf of amplitude 85 V at a frequency of 160 Hz. What is the maximum amplitude of the current if the generator is connected to a 59 mF capacitor?

- +a) 5.042E+00 A
- -b) 5.546E+00 A
- -c) 6.100E+00 A
- -d) 6.710E+00 A
- -e) 7.381E+00 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 3.60E+04 Hz and an amplitude of 9 V. If R =2 Ω, L= 7.60E-03H , and C=7.50E-06 F, what is the rms power transferred to the resistor?

- -a) 1.011E-03 Watts
- +b) 1.112E-03 Watts
- -c) 1.223E-03 Watts
- -d) 1.345E-03 Watts
- -e) 1.480E-03 Watts

3) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=6 V. The resistance, inductance, and capacitance are R =0.27 Ω, L= 4.20E-03H , and C=3.70E-06 F, respectively.

- -a) Q = 7.135E+01
- -b) Q = 8.205E+01
- -c) Q = 9.435E+01
- -d) Q = 1.085E+02
- +e) Q = 1.248E+02

_{0}sin(ωt), where V_{0}=0.77 V. The resistance, inductance, and capacitance are R =3 Ω, L= 6.70E-03H , and C=7.10E-04 F, respectively. What is the amplitude of the current?

- -a) 2.333E-01 A
- +b) 2.567E-01 A
- -c) 2.823E-01 A
- -d) 3.106E-01 A
- -e) 3.416E-01 A

Click these links for the keys:

### Key: O0[edit]

- -a) 8.146E-01 &rad;
- -b) 8.960E-01 &rad;
- +c) 9.856E-01 &rad;
- -d) 1.084E+00 &rad;
- -e) 1.193E+00 &rad;

2) An ac generator produces an emf of amplitude 50 V at a frequency of 47 Hz. What is the maximum amplitude of the current if the generator is connected to a 88 mF capacitor?

- -a) 1.074E+00 A
- -b) 1.181E+00 A
- +c) 1.299E+00 A
- -d) 1.429E+00 A
- -e) 1.572E+00 A

- -a) 2.452E-04 Watts
- +b) 2.697E-04 Watts
- -c) 2.967E-04 Watts
- -d) 3.264E-04 Watts
- -e) 3.590E-04 Watts

_{0}sin(ωt), where V_{0}=0.44 V. The resistance, inductance, and capacitance are R =7 Ω, L= 5.40E-03H , and C=5.70E-04 F, respectively. What is the amplitude of the current?

- -a) 4.723E-02 A
- -b) 5.195E-02 A
- -c) 5.714E-02 A
- +d) 6.286E-02 A
- -e) 6.914E-02 A

Click these links for the keys:

#### Key: O1[edit]

- -a) 4.320E-04 Watts
- -b) 4.752E-04 Watts
- +c) 5.227E-04 Watts
- -d) 5.750E-04 Watts
- -e) 6.325E-04 Watts

2) An ac generator produces an emf of amplitude 87 V at a frequency of 44 Hz. What is the maximum amplitude of the current if the generator is connected to a 9 mF capacitor?

- -a) 1.626E-01 A
- -b) 1.789E-01 A
- -c) 1.968E-01 A
- +d) 2.165E-01 A
- -e) 2.381E-01 A

_{0}sin(ωt), where V_{0}=0.25 V. The resistance, inductance, and capacitance are R =3 Ω, L= 2.20E-03H , and C=6.30E-04 F, respectively. What is the amplitude of the current?

- -a) 7.576E-02 A
- +b) 8.333E-02 A
- -c) 9.167E-02 A
- -d) 1.008E-01 A
- -e) 1.109E-01 A

4) The output of an ac generator connected to an RLC series combination has a frequency of 410 Hz and an amplitude of 0.82 V;. If R =7 Ω, L= 9.70E-03H , and C=9.00E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- -a) 1.176E+00 &rad;
- +b) 1.293E+00 &rad;
- -c) 1.422E+00 &rad;
- -d) 1.565E+00 &rad;
- -e) 1.721E+00 &rad;

Click these links for the keys:

#### Key: O2[edit]

1) An ac generator produces an emf of amplitude 64 V at a frequency of 100 Hz. What is the maximum amplitude of the current if the generator is connected to a 32 mF capacitor?

- -a) 1.170E+00 A
- +b) 1.287E+00 A
- -c) 1.415E+00 A
- -d) 1.557E+00 A
- -e) 1.713E+00 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 760 Hz and an amplitude of 0.23 V;. If R =4 Ω, L= 7.70E-03H , and C=9.30E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- -a) 1.329E+00 &rad;
- +b) 1.462E+00 &rad;
- -c) 1.608E+00 &rad;
- -d) 1.769E+00 &rad;
- -e) 1.946E+00 &rad;

_{0}sin(ωt), where V_{0}=0.88 V. The resistance, inductance, and capacitance are R =7 Ω, L= 8.00E-03H , and C=5.50E-04 F, respectively. What is the amplitude of the current?

- -a) 1.143E-01 A
- +b) 1.257E-01 A
- -c) 1.383E-01 A
- -d) 1.521E-01 A
- -e) 1.673E-01 A

- -a) 2.222E-05 Watts
- -b) 2.444E-05 Watts
- -c) 2.689E-05 Watts
- -d) 2.958E-05 Watts
- +e) 3.253E-05 Watts

Click these links for the keys:

### Key: P0[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 7.60E+04 Hz and an amplitude of 5 V. If R =6 Ω, L= 3.70E-03H , and C=5.80E-06 F, what is the rms power transferred to the resistor?

- -a) 7.239E-04 Watts
- -b) 7.963E-04 Watts
- -c) 8.759E-04 Watts
- +d) 9.635E-04 Watts
- -e) 1.060E-03 Watts

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=5 V. The resistance, inductance, and capacitance are R =0.17 Ω, L= 4.40E-03H , and C=3.40E-06 F, respectively.

- -a) Q = 1.391E+02
- -b) Q = 1.600E+02
- -c) Q = 1.840E+02
- +d) Q = 2.116E+02
- -e) Q = 2.434E+02

_{0}sin(ωt), where V_{0}=0.77 V. The resistance, inductance, and capacitance are R =3 Ω, L= 6.70E-03H , and C=7.10E-04 F, respectively. What is the amplitude of the current?

- -a) 2.333E-01 A
- +b) 2.567E-01 A
- -c) 2.823E-01 A
- -d) 3.106E-01 A
- -e) 3.416E-01 A

4) An ac generator produces an emf of amplitude 75 V at a frequency of 200 Hz. What is the maximum amplitude of the current if the generator is connected to a 22 mF inductor?

- -a) 2.466E+00 A
- +b) 2.713E+00 A
- -c) 2.984E+00 A
- -d) 3.283E+00 A
- -e) 3.611E+00 A

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#### Key: P1[edit]

_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=2 V. The resistance, inductance, and capacitance are R =0.25 Ω, L= 5.40E-03H , and C=3.20E-06 F, respectively.

- -a) Q = 9.395E+01
- -b) Q = 1.080E+02
- -c) Q = 1.242E+02
- -d) Q = 1.429E+02
- +e) Q = 1.643E+02

- -a) 1.011E-03 Watts
- +b) 1.112E-03 Watts
- -c) 1.223E-03 Watts
- -d) 1.345E-03 Watts
- -e) 1.480E-03 Watts

_{0}sin(ωt), where V_{0}=0.88 V. The resistance, inductance, and capacitance are R =7 Ω, L= 8.00E-03H , and C=5.50E-04 F, respectively. What is the amplitude of the current?

- -a) 1.143E-01 A
- +b) 1.257E-01 A
- -c) 1.383E-01 A
- -d) 1.521E-01 A
- -e) 1.673E-01 A

- -a) 3.908E+00 A
- -b) 4.298E+00 A
- -c) 4.728E+00 A
- +d) 5.201E+00 A
- -e) 5.721E+00 A

Click these links for the keys:

#### Key: P2[edit]

- -a) 4.320E-04 Watts
- -b) 4.752E-04 Watts
- +c) 5.227E-04 Watts
- -d) 5.750E-04 Watts
- -e) 6.325E-04 Watts

- -a) 4.677E-01 A
- -b) 5.145E-01 A
- -c) 5.659E-01 A
- -d) 6.225E-01 A
- +e) 6.847E-01 A

3) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=5 V. The resistance, inductance, and capacitance are R =0.17 Ω, L= 4.40E-03H , and C=3.40E-06 F, respectively.

- -a) Q = 1.391E+02
- -b) Q = 1.600E+02
- -c) Q = 1.840E+02
- +d) Q = 2.116E+02
- -e) Q = 2.434E+02

4) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.88 V. The resistance, inductance, and capacitance are R =7 Ω, L= 8.00E-03H , and C=5.50E-04 F, respectively. What is the amplitude of the current?

- -a) 1.143E-01 A
- +b) 1.257E-01 A
- -c) 1.383E-01 A
- -d) 1.521E-01 A
- -e) 1.673E-01 A

Click these links for the keys:

### Key: Q0[edit]

1) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=3 V. The resistance, inductance, and capacitance are R =0.22 Ω, L= 5.10E-03H , and C=2.50E-06 F, respectively.

- +a) Q = 2.053E+02
- -b) Q = 2.361E+02
- -c) Q = 2.715E+02
- -d) Q = 3.122E+02
- -e) Q = 3.591E+02

2) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.82 V. The resistance, inductance, and capacitance are R =3 Ω, L= 6.20E-03H , and C=6.70E-04 F, respectively. What is the amplitude of the current?

- -a) 2.259E-01 A
- -b) 2.485E-01 A
- +c) 2.733E-01 A
- -d) 3.007E-01 A
- -e) 3.307E-01 A

- -a) 7.714E-01 &rad;
- -b) 8.486E-01 &rad;
- -c) 9.334E-01 &rad;
- -d) 1.027E+00 &rad;
- +e) 1.129E+00 &rad;

4) The output of an ac generator connected to an RLC series combination has a frequency of 690 Hz and an amplitude of 0.4 V;. If R =3 Ω, L= 3.00E-03H , and C=8.30E-04 F, what is the impedance?

- +a) 1.308E+01 Ω
- -b) 1.438E+01 Ω
- -c) 1.582E+01 Ω
- -d) 1.741E+01 Ω
- -e) 1.915E+01 Ω

Click these links for the keys:

#### Key: Q1[edit]

1) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.76 V. The resistance, inductance, and capacitance are R =8 Ω, L= 3.80E-03H , and C=5.60E-04 F, respectively. What is the amplitude of the current?

- -a) 8.636E-02 A
- +b) 9.500E-02 A
- -c) 1.045E-01 A
- -d) 1.150E-01 A
- -e) 1.264E-01 A

- -a) 8.123E+00 Ω
- -b) 8.935E+00 Ω
- -c) 9.828E+00 Ω
- +d) 1.081E+01 Ω
- -e) 1.189E+01 Ω

3) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=2 V. The resistance, inductance, and capacitance are R =0.25 Ω, L= 5.40E-03H , and C=3.20E-06 F, respectively.

- -a) Q = 9.395E+01
- -b) Q = 1.080E+02
- -c) Q = 1.242E+02
- -d) Q = 1.429E+02
- +e) Q = 1.643E+02

4) The output of an ac generator connected to an RLC series combination has a frequency of 890 Hz and an amplitude of 0.58 V;. If R =9 Ω, L= 2.90E-03H , and C=8.30E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- -a) 7.952E-01 &rad;
- -b) 8.747E-01 &rad;
- -c) 9.622E-01 &rad;
- +d) 1.058E+00 &rad;
- -e) 1.164E+00 &rad;

Click these links for the keys:

#### Key: Q2[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 290 Hz and an amplitude of 0.75 V;. If R =2 Ω, L= 8.00E-03H , and C=9.90E-04 F, what is the impedance?

- -a) 9.675E+00 Ω
- -b) 1.064E+01 Ω
- -c) 1.171E+01 Ω
- -d) 1.288E+01 Ω
- +e) 1.416E+01 Ω

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=4 V. The resistance, inductance, and capacitance are R =0.25 Ω, L= 4.80E-03H , and C=2.60E-06 F, respectively.

- -a) Q = 1.300E+02
- -b) Q = 1.495E+02
- +c) Q = 1.719E+02
- -d) Q = 1.976E+02
- -e) Q = 2.273E+02

3) The output of an ac generator connected to an RLC series combination has a frequency of 760 Hz and an amplitude of 0.43 V;. If R =7 Ω, L= 7.40E-03H , and C=6.00E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- -a) 9.380E-01 &rad;
- -b) 1.032E+00 &rad;
- -c) 1.135E+00 &rad;
- -d) 1.248E+00 &rad;
- +e) 1.373E+00 &rad;

4) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.75 V. The resistance, inductance, and capacitance are R =5 Ω, L= 9.90E-03H , and C=6.80E-04 F, respectively. What is the amplitude of the current?

- -a) 1.240E-01 A
- -b) 1.364E-01 A
- +c) 1.500E-01 A
- -d) 1.650E-01 A
- -e) 1.815E-01 A

Click these links for the keys:

### Key: R0[edit]

- -a) 3.014E-01 A
- +b) 3.316E-01 A
- -c) 3.647E-01 A
- -d) 4.012E-01 A
- -e) 4.413E-01 A

_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=3 V. The resistance, inductance, and capacitance are R =0.29 Ω, L= 4.80E-03H , and C=2.60E-06 F, respectively.

- -a) Q = 1.288E+02
- +b) Q = 1.482E+02
- -c) Q = 1.704E+02
- -d) Q = 1.959E+02
- -e) Q = 2.253E+02

- -a) 1.644E+00 A
- +b) 1.808E+00 A
- -c) 1.989E+00 A
- -d) 2.188E+00 A
- -e) 2.407E+00 A

- -a) 1.511E-03 Watts
- -b) 1.662E-03 Watts
- -c) 1.828E-03 Watts
- -d) 2.011E-03 Watts
- +e) 2.212E-03 Watts

Click these links for the keys:

#### Key: R1[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 2.30E+04 Hz and an amplitude of 3 V. If R =5 Ω, L= 3.90E-03H , and C=9.00E-06 F, what is the rms power transferred to the resistor?

- -a) 2.339E-03 Watts
- -b) 2.573E-03 Watts
- -c) 2.830E-03 Watts
- +d) 3.113E-03 Watts
- -e) 3.424E-03 Watts

2) An ac generator produces an emf of amplitude 60 V at a frequency of 130 Hz. What is the maximum amplitude of the current if the generator is connected to a 85 mF inductor?

- -a) 7.856E-01 A
- +b) 8.642E-01 A
- -c) 9.506E-01 A
- -d) 1.046E+00 A
- -e) 1.150E+00 A

_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=5 V. The resistance, inductance, and capacitance are R =0.17 Ω, L= 4.40E-03H , and C=3.40E-06 F, respectively.

- -a) Q = 1.391E+02
- -b) Q = 1.600E+02
- -c) Q = 1.840E+02
- +d) Q = 2.116E+02
- -e) Q = 2.434E+02

- +a) 3.378E-01 A
- -b) 3.716E-01 A
- -c) 4.087E-01 A
- -d) 4.496E-01 A
- -e) 4.945E-01 A

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#### Key: R2[edit]

1) An ac generator produces an emf of amplitude 50 V at a frequency of 47 Hz. What is the maximum amplitude of the current if the generator is connected to a 88 mF capacitor?

- -a) 1.074E+00 A
- -b) 1.181E+00 A
- +c) 1.299E+00 A
- -d) 1.429E+00 A
- -e) 1.572E+00 A

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=4 V. The resistance, inductance, and capacitance are R =0.2 Ω, L= 4.90E-03H , and C=2.10E-06 F, respectively.

- -a) Q = 1.381E+02
- -b) Q = 1.588E+02
- -c) Q = 1.826E+02
- -d) Q = 2.100E+02
- +e) Q = 2.415E+02

3) The output of an ac generator connected to an RLC series combination has a frequency of 5.00E+04 Hz and an amplitude of 5 V. If R =6 Ω, L= 2.50E-03H , and C=5.20E-06 F, what is the rms power transferred to the resistor?

- +a) 5.097E-03 Watts
- -b) 5.607E-03 Watts
- -c) 6.167E-03 Watts
- -d) 6.784E-03 Watts
- -e) 7.463E-03 Watts

- -a) 7.856E-01 A
- +b) 8.642E-01 A
- -c) 9.506E-01 A
- -d) 1.046E+00 A
- -e) 1.150E+00 A

Click these links for the keys:

### Key: S0[edit]

_{0}sin(ωt), where V_{0}=0.25 V. The resistance, inductance, and capacitance are R =7 Ω, L= 5.00E-03H , and C=7.70E-04 F, respectively. What is the amplitude of the current?

- -a) 2.439E-02 A
- -b) 2.683E-02 A
- -c) 2.952E-02 A
- -d) 3.247E-02 A
- +e) 3.571E-02 A

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=2 V. The resistance, inductance, and capacitance are R =0.25 Ω, L= 4.20E-03H , and C=2.70E-06 F, respectively.

- -a) Q = 1.372E+02
- +b) Q = 1.578E+02
- -c) Q = 1.814E+02
- -d) Q = 2.086E+02
- -e) Q = 2.399E+02

- +a) 5.097E-03 Watts
- -b) 5.607E-03 Watts
- -c) 6.167E-03 Watts
- -d) 6.784E-03 Watts
- -e) 7.463E-03 Watts

4) An ac generator produces an emf of amplitude 58 V at a frequency of 200 Hz. What is the maximum amplitude of the current if the generator is connected to a 66 mF capacitor?

- -a) 3.976E+00 A
- -b) 4.373E+00 A
- +c) 4.810E+00 A
- -d) 5.291E+00 A
- -e) 5.821E+00 A

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#### Key: S1[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 4.30E+04 Hz and an amplitude of 6 V. If R =6 Ω, L= 5.20E-03H , and C=8.60E-06 F, what is the rms power transferred to the resistor?

- -a) 1.511E-03 Watts
- -b) 1.662E-03 Watts
- -c) 1.828E-03 Watts
- -d) 2.011E-03 Watts
- +e) 2.212E-03 Watts

- -a) 1.074E+00 A
- -b) 1.181E+00 A
- +c) 1.299E+00 A
- -d) 1.429E+00 A
- -e) 1.572E+00 A

3) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.62 V. The resistance, inductance, and capacitance are R =6 Ω, L= 8.10E-03H , and C=6.40E-04 F, respectively. What is the amplitude of the current?

- -a) 7.058E-02 A
- -b) 7.764E-02 A
- -c) 8.540E-02 A
- -d) 9.394E-02 A
- +e) 1.033E-01 A

4) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=4 V. The resistance, inductance, and capacitance are R =0.2 Ω, L= 4.90E-03H , and C=2.10E-06 F, respectively.

- -a) Q = 1.381E+02
- -b) Q = 1.588E+02
- -c) Q = 1.826E+02
- -d) Q = 2.100E+02
- +e) Q = 2.415E+02

Click these links for the keys:

#### Key: S2[edit]

1) An ac generator produces an emf of amplitude 4 V at a frequency of 160 Hz. What is the maximum amplitude of the current if the generator is connected to a 19 mF capacitor?

- -a) 6.946E-02 A
- +b) 7.640E-02 A
- -c) 8.404E-02 A
- -d) 9.245E-02 A
- -e) 1.017E-01 A

_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=4 V. The resistance, inductance, and capacitance are R =0.25 Ω, L= 4.80E-03H , and C=2.60E-06 F, respectively.

- -a) Q = 1.300E+02
- -b) Q = 1.495E+02
- +c) Q = 1.719E+02
- -d) Q = 1.976E+02
- -e) Q = 2.273E+02

_{0}sin(ωt), where V_{0}=0.75 V. The resistance, inductance, and capacitance are R =5 Ω, L= 9.90E-03H , and C=6.80E-04 F, respectively. What is the amplitude of the current?

- -a) 1.240E-01 A
- -b) 1.364E-01 A
- +c) 1.500E-01 A
- -d) 1.650E-01 A
- -e) 1.815E-01 A

4) The output of an ac generator connected to an RLC series combination has a frequency of 7.60E+04 Hz and an amplitude of 5 V. If R =6 Ω, L= 3.70E-03H , and C=5.80E-06 F, what is the rms power transferred to the resistor?

- -a) 7.239E-04 Watts
- -b) 7.963E-04 Watts
- -c) 8.759E-04 Watts
- +d) 9.635E-04 Watts
- -e) 1.060E-03 Watts

Click these links for the keys:

### Key: T0[edit]

1) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.16 V. The resistance, inductance, and capacitance are R =8 Ω, L= 5.40E-03H , and C=5.40E-04 F, respectively. What is the amplitude of the current?

- +a) 2.000E-02 A
- -b) 2.200E-02 A
- -c) 2.420E-02 A
- -d) 2.662E-02 A
- -e) 2.928E-02 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 760 Hz and an amplitude of 0.18 V;. If R =6 Ω, L= 7.50E-03H , and C=7.50E-04 F, what is the impedance?

- -a) 2.708E+01 Ω
- -b) 2.978E+01 Ω
- -c) 3.276E+01 Ω
- +d) 3.604E+01 Ω
- -e) 3.964E+01 Ω

3) The output of an ac generator connected to an RLC series combination has a frequency of 4.30E+04 Hz and an amplitude of 6 V. If R =6 Ω, L= 5.20E-03H , and C=8.60E-06 F, what is the rms power transferred to the resistor?

- -a) 1.511E-03 Watts
- -b) 1.662E-03 Watts
- -c) 1.828E-03 Watts
- -d) 2.011E-03 Watts
- +e) 2.212E-03 Watts

4) An ac generator produces an emf of amplitude 8 V at a frequency of 80 Hz. What is the maximum amplitude of the current if the generator is connected to a 14 mF inductor?

- -a) 8.541E-01 A
- -b) 9.395E-01 A
- -c) 1.033E+00 A
- +d) 1.137E+00 A
- -e) 1.251E+00 A

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#### Key: T1[edit]

1) An ac generator produces an emf of amplitude 5 V at a frequency of 52 Hz. What is the maximum amplitude of the current if the generator is connected to a 49 mF inductor?

- -a) 2.839E-01 A
- +b) 3.123E-01 A
- -c) 3.435E-01 A
- -d) 3.779E-01 A
- -e) 4.157E-01 A

2) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.25 V. The resistance, inductance, and capacitance are R =3 Ω, L= 2.20E-03H , and C=6.30E-04 F, respectively. What is the amplitude of the current?

- -a) 7.576E-02 A
- +b) 8.333E-02 A
- -c) 9.167E-02 A
- -d) 1.008E-01 A
- -e) 1.109E-01 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 2.30E+04 Hz and an amplitude of 3 V. If R =5 Ω, L= 3.90E-03H , and C=9.00E-06 F, what is the rms power transferred to the resistor?

- -a) 2.339E-03 Watts
- -b) 2.573E-03 Watts
- -c) 2.830E-03 Watts
- +d) 3.113E-03 Watts
- -e) 3.424E-03 Watts

4) The output of an ac generator connected to an RLC series combination has a frequency of 680 Hz and an amplitude of 0.79 V;. If R =5 Ω, L= 2.40E-03H , and C=9.10E-04 F, what is the impedance?

- -a) 8.398E+00 Ω
- -b) 9.238E+00 Ω
- -c) 1.016E+01 Ω
- +d) 1.118E+01 Ω
- -e) 1.230E+01 Ω

Click these links for the keys:

#### Key: T2[edit]

- -a) 2.658E+01 Ω
- -b) 2.923E+01 Ω
- +c) 3.216E+01 Ω
- -d) 3.537E+01 Ω
- -e) 3.891E+01 Ω

2) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.44 V. The resistance, inductance, and capacitance are R =7 Ω, L= 5.40E-03H , and C=5.70E-04 F, respectively. What is the amplitude of the current?

- -a) 4.723E-02 A
- -b) 5.195E-02 A
- -c) 5.714E-02 A
- +d) 6.286E-02 A
- -e) 6.914E-02 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 2.70E+04 Hz and an amplitude of 8 V. If R =4 Ω, L= 9.10E-03H , and C=9.60E-06 F, what is the rms power transferred to the resistor?

- +a) 2.188E-03 Watts
- -b) 2.407E-03 Watts
- -c) 2.647E-03 Watts
- -d) 2.912E-03 Watts
- -e) 3.203E-03 Watts

- -a) 7.856E-01 A
- +b) 8.642E-01 A
- -c) 9.506E-01 A
- -d) 1.046E+00 A
- -e) 1.150E+00 A

Click these links for the keys:

### Key: U0[edit]

1) An ac generator produces an emf of amplitude 71 V at a frequency of 68 Hz. What is the maximum amplitude of the current if the generator is connected to a 35 mF capacitor?

- -a) 7.252E-01 A
- -b) 7.977E-01 A
- -c) 8.775E-01 A
- -d) 9.652E-01 A
- +e) 1.062E+00 A

- -a) 4.007E+02 A
- -b) 4.408E+02 A
- -c) 4.848E+02 A
- +d) 5.333E+02 A
- -e) 5.867E+02 A

- +a) 1.308E+01 Ω
- -b) 1.438E+01 Ω
- -c) 1.582E+01 Ω
- -d) 1.741E+01 Ω
- -e) 1.915E+01 Ω

4) The output of an ac generator connected to an RLC series combination has a frequency of 2.30E+04 Hz and an amplitude of 7 V. If R =3 Ω, L= 4.10E-03H , and C=8.70E-06 F, what is the rms power transferred to the resistor?

- -a) 8.369E-03 Watts
- +b) 9.206E-03 Watts
- -c) 1.013E-02 Watts
- -d) 1.114E-02 Watts
- -e) 1.225E-02 Watts

Click these links for the keys:

#### Key: U1[edit]

- -a) 2.658E+01 Ω
- -b) 2.923E+01 Ω
- +c) 3.216E+01 Ω
- -d) 3.537E+01 Ω
- -e) 3.891E+01 Ω

2) The output of an ac generator connected to an RLC series combination has a frequency of 3.50E+04 Hz and an amplitude of 8 V. If R =7 Ω, L= 9.40E-03H , and C=8.50E-06 F, what is the rms power transferred to the resistor?

- +a) 2.111E-03 Watts
- -b) 2.323E-03 Watts
- -c) 2.555E-03 Watts
- -d) 2.810E-03 Watts
- -e) 3.091E-03 Watts

- -a) 1.550E+02 A
- -b) 1.705E+02 A
- +c) 1.875E+02 A
- -d) 2.063E+02 A
- -e) 2.269E+02 A

4) An ac generator produces an emf of amplitude 8 V at a frequency of 85 Hz. What is the maximum amplitude of the current if the generator is connected to a 16 mF capacitor?

- -a) 4.669E-02 A
- -b) 5.136E-02 A
- -c) 5.650E-02 A
- -d) 6.215E-02 A
- +e) 6.836E-02 A

Click these links for the keys:

#### Key: U2[edit]

- -a) 1.427E-01 A
- -b) 1.570E-01 A
- -c) 1.727E-01 A
- -d) 1.899E-01 A
- +e) 2.089E-01 A

2) A step-down transformer steps 19 kV down to 220 V. The high-voltage input is provided by a 230 Ω power line that carries 5 A of currentWhat is the output current (at the 220 V side ?)

- -a) 3.244E+02 A
- -b) 3.569E+02 A
- -c) 3.926E+02 A
- +d) 4.318E+02 A
- -e) 4.750E+02 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 900 Hz and an amplitude of 0.43 V;. If R =7 Ω, L= 5.60E-03H , and C=6.30E-04 F, what is the impedance?

- -a) 2.658E+01 Ω
- -b) 2.923E+01 Ω
- +c) 3.216E+01 Ω
- -d) 3.537E+01 Ω
- -e) 3.891E+01 Ω

- -a) 2.222E-05 Watts
- -b) 2.444E-05 Watts
- -c) 2.689E-05 Watts
- -d) 2.958E-05 Watts
- +e) 3.253E-05 Watts

Click these links for the keys:

### Key: V0[edit]

1) An ac generator produces an emf of amplitude 70 V at a frequency of 63 Hz. What is the maximum amplitude of the current if the generator is connected to a 34 mF inductor?

- -a) 3.908E+00 A
- -b) 4.298E+00 A
- -c) 4.728E+00 A
- +d) 5.201E+00 A
- -e) 5.721E+00 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 290 Hz and an amplitude of 0.75 V;. If R =2 Ω, L= 8.00E-03H , and C=9.90E-04 F, what is the impedance?

- -a) 9.675E+00 Ω
- -b) 1.064E+01 Ω
- -c) 1.171E+01 Ω
- -d) 1.288E+01 Ω
- +e) 1.416E+01 Ω

3) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.3 V. The resistance, inductance, and capacitance are R =2 Ω, L= 8.10E-03H , and C=9.40E-04 F, respectively. What is the amplitude of the current?

- -a) 1.364E-01 A
- +b) 1.500E-01 A
- -c) 1.650E-01 A
- -d) 1.815E-01 A
- -e) 1.997E-01 A

4) A step-down transformer steps 8 kV down to 220 V. The high-voltage input is provided by a 110 Ω power line that carries 8 A of currentWhat is the output current (at the 220 V side ?)

- -a) 2.404E+02 A
- -b) 2.645E+02 A
- +c) 2.909E+02 A
- -d) 3.200E+02 A
- -e) 3.520E+02 A

Click these links for the keys:

#### Key: V1[edit]

1) An ac generator produces an emf of amplitude 66 V at a frequency of 180 Hz. What is the maximum amplitude of the current if the generator is connected to a 97 mF inductor?

- -a) 4.972E-01 A
- -b) 5.469E-01 A
- +c) 6.016E-01 A
- -d) 6.618E-01 A
- -e) 7.280E-01 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 910 Hz and an amplitude of 0.88 V;. If R =7 Ω, L= 6.80E-03H , and C=9.60E-04 F, what is the impedance?

- -a) 3.575E+01 Ω
- +b) 3.933E+01 Ω
- -c) 4.326E+01 Ω
- -d) 4.758E+01 Ω
- -e) 5.234E+01 Ω

3) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.83 V. The resistance, inductance, and capacitance are R =4 Ω, L= 4.60E-03H , and C=8.10E-04 F, respectively. What is the amplitude of the current?

- -a) 1.417E-01 A
- -b) 1.559E-01 A
- -c) 1.715E-01 A
- -d) 1.886E-01 A
- +e) 2.075E-01 A

- -a) 1.888E+02 A
- +b) 2.077E+02 A
- -c) 2.285E+02 A
- -d) 2.513E+02 A
- -e) 2.764E+02 A

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#### Key: V2[edit]

_{0}sin(ωt), where V_{0}=0.64 V. The resistance, inductance, and capacitance are R =2 Ω, L= 4.00E-03H , and C=8.30E-04 F, respectively. What is the amplitude of the current?

- +a) 3.200E-01 A
- -b) 3.520E-01 A
- -c) 3.872E-01 A
- -d) 4.259E-01 A
- -e) 4.685E-01 A

2) An ac generator produces an emf of amplitude 90 V at a frequency of 130 Hz. What is the maximum amplitude of the current if the generator is connected to a 20 mF inductor?

- -a) 5.008E+00 A
- +b) 5.509E+00 A
- -c) 6.060E+00 A
- -d) 6.666E+00 A
- -e) 7.333E+00 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 760 Hz and an amplitude of 0.18 V;. If R =6 Ω, L= 7.50E-03H , and C=7.50E-04 F, what is the impedance?

- -a) 2.708E+01 Ω
- -b) 2.978E+01 Ω
- -c) 3.276E+01 Ω
- +d) 3.604E+01 Ω
- -e) 3.964E+01 Ω

- +a) 5.294E+02 A
- -b) 5.824E+02 A
- -c) 6.406E+02 A
- -d) 7.046E+02 A
- -e) 7.751E+02 A

Click these links for the keys:

### Key: W0[edit]

- -a) 3.606E+00 A
- -b) 3.967E+00 A
- -c) 4.364E+00 A
- +d) 4.800E+00 A
- -e) 5.280E+00 A

2) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.31 V. The resistance, inductance, and capacitance are R =5 Ω, L= 9.00E-03H , and C=5.10E-04 F, respectively. What is the amplitude of the current?

- -a) 4.235E-02 A
- -b) 4.658E-02 A
- -c) 5.124E-02 A
- -d) 5.636E-02 A
- +e) 6.200E-02 A

3) An ac generator produces an emf of amplitude 54 V at a frequency of 120 Hz. What is the maximum amplitude of the current if the generator is connected to a 7 mF capacitor?

- +a) 2.850E-01 A
- -b) 3.135E-01 A
- -c) 3.449E-01 A
- -d) 3.793E-01 A
- -e) 4.173E-01 A

- -a) 1.511E-03 Watts
- -b) 1.662E-03 Watts
- -c) 1.828E-03 Watts
- -d) 2.011E-03 Watts
- +e) 2.212E-03 Watts

Click these links for the keys:

#### Key: W1[edit]

- -a) 3.908E+00 A
- -b) 4.298E+00 A
- -c) 4.728E+00 A
- +d) 5.201E+00 A
- -e) 5.721E+00 A

2) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.3 V. The resistance, inductance, and capacitance are R =2 Ω, L= 8.10E-03H , and C=9.40E-04 F, respectively. What is the amplitude of the current?

- -a) 1.364E-01 A
- +b) 1.500E-01 A
- -c) 1.650E-01 A
- -d) 1.815E-01 A
- -e) 1.997E-01 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 6.00E+04 Hz and an amplitude of 2 V. If R =3 Ω, L= 7.20E-03H , and C=6.50E-06 F, what is the rms power transferred to the resistor?

- -a) 2.222E-05 Watts
- -b) 2.444E-05 Watts
- -c) 2.689E-05 Watts
- -d) 2.958E-05 Watts
- +e) 3.253E-05 Watts

4) An ac generator produces an emf of amplitude 71 V at a frequency of 68 Hz. What is the maximum amplitude of the current if the generator is connected to a 35 mF capacitor?

- -a) 7.252E-01 A
- -b) 7.977E-01 A
- -c) 8.775E-01 A
- -d) 9.652E-01 A
- +e) 1.062E+00 A

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#### Key: W2[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 5.50E+04 Hz and an amplitude of 2 V. If R =8 Ω, L= 9.60E-03H , and C=8.30E-06 F, what is the rms power transferred to the resistor?

- -a) 4.347E-05 Watts
- -b) 4.782E-05 Watts
- -c) 5.260E-05 Watts
- +d) 5.786E-05 Watts
- -e) 6.364E-05 Watts

_{0}sin(ωt), where V_{0}=0.25 V. The resistance, inductance, and capacitance are R =7 Ω, L= 5.00E-03H , and C=7.70E-04 F, respectively. What is the amplitude of the current?

- -a) 2.439E-02 A
- -b) 2.683E-02 A
- -c) 2.952E-02 A
- -d) 3.247E-02 A
- +e) 3.571E-02 A

- +a) 1.070E+00 A
- -b) 1.177E+00 A
- -c) 1.295E+00 A
- -d) 1.425E+00 A
- -e) 1.567E+00 A

- -a) 4.351E-01 A
- -b) 4.786E-01 A
- -c) 5.264E-01 A
- +d) 5.791E-01 A
- -e) 6.370E-01 A

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### Key: X0[edit]

_{0}sin(ωt), where V_{0}=0.75 V. The resistance, inductance, and capacitance are R =5 Ω, L= 9.90E-03H , and C=6.80E-04 F, respectively. What is the amplitude of the current?

- -a) 1.240E-01 A
- -b) 1.364E-01 A
- +c) 1.500E-01 A
- -d) 1.650E-01 A
- -e) 1.815E-01 A

- -a) 4.320E-04 Watts
- -b) 4.752E-04 Watts
- +c) 5.227E-04 Watts
- -d) 5.750E-04 Watts
- -e) 6.325E-04 Watts

3) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=4 V. The resistance, inductance, and capacitance are R =0.25 Ω, L= 4.80E-03H , and C=2.60E-06 F, respectively.

- -a) Q = 1.300E+02
- -b) Q = 1.495E+02
- +c) Q = 1.719E+02
- -d) Q = 1.976E+02
- -e) Q = 2.273E+02

4) The output of an ac generator connected to an RLC series combination has a frequency of 900 Hz and an amplitude of 0.43 V;. If R =7 Ω, L= 5.60E-03H , and C=6.30E-04 F, what is the impedance?

- -a) 2.658E+01 Ω
- -b) 2.923E+01 Ω
- +c) 3.216E+01 Ω
- -d) 3.537E+01 Ω
- -e) 3.891E+01 Ω

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#### Key: X1[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 650 Hz and an amplitude of 0.3 V;. If R =3 Ω, L= 4.90E-03H , and C=8.20E-04 F, what is the impedance?

- -a) 1.813E+01 Ω
- +b) 1.994E+01 Ω
- -c) 2.193E+01 Ω
- -d) 2.413E+01 Ω
- -e) 2.654E+01 Ω

- -a) 1.146E-03 Watts
- -b) 1.260E-03 Watts
- -c) 1.386E-03 Watts
- -d) 1.525E-03 Watts
- +e) 1.677E-03 Watts

3) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=3 V. The resistance, inductance, and capacitance are R =0.25 Ω, L= 4.70E-03H , and C=3.30E-06 F, respectively.

- -a) Q = 1.313E+02
- +b) Q = 1.510E+02
- -c) Q = 1.736E+02
- -d) Q = 1.996E+02
- -e) Q = 2.296E+02

_{0}sin(ωt), where V_{0}=0.77 V. The resistance, inductance, and capacitance are R =3 Ω, L= 6.70E-03H , and C=7.10E-04 F, respectively. What is the amplitude of the current?

- -a) 2.333E-01 A
- +b) 2.567E-01 A
- -c) 2.823E-01 A
- -d) 3.106E-01 A
- -e) 3.416E-01 A

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#### Key: X2[edit]

1) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=3 V. The resistance, inductance, and capacitance are R =0.14 Ω, L= 5.20E-03H , and C=2.90E-06 F, respectively.

- -a) Q = 2.287E+02
- -b) Q = 2.630E+02
- +c) Q = 3.025E+02
- -d) Q = 3.478E+02
- -e) Q = 4.000E+02

- -a) 8.123E+00 Ω
- -b) 8.935E+00 Ω
- -c) 9.828E+00 Ω
- +d) 1.081E+01 Ω
- -e) 1.189E+01 Ω

3) The output of an ac generator connected to an RLC series combination has a frequency of 5.50E+04 Hz and an amplitude of 2 V. If R =8 Ω, L= 9.60E-03H , and C=8.30E-06 F, what is the rms power transferred to the resistor?

- -a) 4.347E-05 Watts
- -b) 4.782E-05 Watts
- -c) 5.260E-05 Watts
- +d) 5.786E-05 Watts
- -e) 6.364E-05 Watts

4) An RLC series combination is driven with an applied voltage of of V=V_{0}sin(ωt), where V_{0}=0.3 V. The resistance, inductance, and capacitance are R =2 Ω, L= 8.10E-03H , and C=9.40E-04 F, respectively. What is the amplitude of the current?

- -a) 1.364E-01 A
- +b) 1.500E-01 A
- -c) 1.650E-01 A
- -d) 1.815E-01 A
- -e) 1.997E-01 A

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### Key: Y0[edit]

1) The output of an ac generator connected to an RLC series combination has a frequency of 360 Hz and an amplitude of 0.17 V;. If R =9 Ω, L= 2.60E-03H , and C=8.00E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- -a) 4.860E-01 &rad;
- +b) 5.346E-01 &rad;
- -c) 5.880E-01 &rad;
- -d) 6.468E-01 &rad;
- -e) 7.115E-01 &rad;

_{0}sin(ωt), where V_{0}=0.83 V. The resistance, inductance, and capacitance are R =9 Ω, L= 8.50E-03H , and C=7.20E-04 F, respectively. What is the amplitude of the current?

- -a) 8.384E-02 A
- +b) 9.222E-02 A
- -c) 1.014E-01 A
- -d) 1.116E-01 A
- -e) 1.227E-01 A

- -a) 2.658E+01 Ω
- -b) 2.923E+01 Ω
- +c) 3.216E+01 Ω
- -d) 3.537E+01 Ω
- -e) 3.891E+01 Ω

4) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=6 V. The resistance, inductance, and capacitance are R =0.27 Ω, L= 4.20E-03H , and C=3.70E-06 F, respectively.

- -a) Q = 7.135E+01
- -b) Q = 8.205E+01
- -c) Q = 9.435E+01
- -d) Q = 1.085E+02
- +e) Q = 1.248E+02

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#### Key: Y1[edit]

- -a) 9.380E-01 &rad;
- -b) 1.032E+00 &rad;
- -c) 1.135E+00 &rad;
- -d) 1.248E+00 &rad;
- +e) 1.373E+00 &rad;

2) The output of an ac generator connected to an RLC series combination has a frequency of 690 Hz and an amplitude of 0.4 V;. If R =3 Ω, L= 3.00E-03H , and C=8.30E-04 F, what is the impedance?

- +a) 1.308E+01 Ω
- -b) 1.438E+01 Ω
- -c) 1.582E+01 Ω
- -d) 1.741E+01 Ω
- -e) 1.915E+01 Ω

_{0}sin(ωt), where V_{0}=0.44 V. The resistance, inductance, and capacitance are R =7 Ω, L= 5.40E-03H , and C=5.70E-04 F, respectively. What is the amplitude of the current?

- -a) 4.723E-02 A
- -b) 5.195E-02 A
- -c) 5.714E-02 A
- +d) 6.286E-02 A
- -e) 6.914E-02 A

4) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=2 V. The resistance, inductance, and capacitance are R =0.28 Ω, L= 4.70E-03H , and C=2.50E-06 F, respectively.

- -a) Q = 1.171E+02
- -b) Q = 1.347E+02
- +c) Q = 1.549E+02
- -d) Q = 1.781E+02
- -e) Q = 2.048E+02

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#### Key: Y2[edit]

- -a) 9.380E-01 &rad;
- -b) 1.032E+00 &rad;
- -c) 1.135E+00 &rad;
- -d) 1.248E+00 &rad;
- +e) 1.373E+00 &rad;

2) The output of an ac generator connected to an RLC series combination has a frequency of 680 Hz and an amplitude of 0.79 V;. If R =5 Ω, L= 2.40E-03H , and C=9.10E-04 F, what is the impedance?

- -a) 8.398E+00 Ω
- -b) 9.238E+00 Ω
- -c) 1.016E+01 Ω
- +d) 1.118E+01 Ω
- -e) 1.230E+01 Ω

_{0}sin(ωt), where V_{0}=0.75 V. The resistance, inductance, and capacitance are R =5 Ω, L= 9.90E-03H , and C=6.80E-04 F, respectively. What is the amplitude of the current?

- -a) 1.240E-01 A
- -b) 1.364E-01 A
- +c) 1.500E-01 A
- -d) 1.650E-01 A
- -e) 1.815E-01 A

4) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=6 V. The resistance, inductance, and capacitance are R =0.3 Ω, L= 5.90E-03H , and C=3.80E-06 F, respectively.

- -a) Q = 7.510E+01
- -b) Q = 8.636E+01
- -c) Q = 9.932E+01
- -d) Q = 1.142E+02
- +e) Q = 1.313E+02

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### Key: Z0[edit]

- -a) 8.146E-01 &rad;
- -b) 8.960E-01 &rad;
- +c) 9.856E-01 &rad;
- -d) 1.084E+00 &rad;
- -e) 1.193E+00 &rad;

2) An ac generator produces an emf of amplitude 51 V at a frequency of 57 Hz. What is the maximum amplitude of the current if the generator is connected to a 99 mF capacitor?

- -a) 1.644E+00 A
- +b) 1.808E+00 A
- -c) 1.989E+00 A
- -d) 2.188E+00 A
- -e) 2.407E+00 A

3) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=5 V. The resistance, inductance, and capacitance are R =0.27 Ω, L= 4.30E-03H , and C=2.20E-06 F, respectively.

- -a) Q = 1.238E+02
- -b) Q = 1.424E+02
- +c) Q = 1.637E+02
- -d) Q = 1.883E+02
- -e) Q = 2.165E+02

4) An ac generator produces an emf of amplitude 90 V at a frequency of 130 Hz. What is the maximum amplitude of the current if the generator is connected to a 20 mF inductor?

- -a) 5.008E+00 A
- +b) 5.509E+00 A
- -c) 6.060E+00 A
- -d) 6.666E+00 A
- -e) 7.333E+00 A

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#### Key: Z1[edit]

- -a) 8.146E-01 &rad;
- -b) 8.960E-01 &rad;
- +c) 9.856E-01 &rad;
- -d) 1.084E+00 &rad;
- -e) 1.193E+00 &rad;

2) An ac generator produces an emf of amplitude 4 V at a frequency of 160 Hz. What is the maximum amplitude of the current if the generator is connected to a 19 mF capacitor?

- -a) 6.946E-02 A
- +b) 7.640E-02 A
- -c) 8.404E-02 A
- -d) 9.245E-02 A
- -e) 1.017E-01 A

3) An ac generator produces an emf of amplitude 90 V at a frequency of 130 Hz. What is the maximum amplitude of the current if the generator is connected to a 20 mF inductor?

- -a) 5.008E+00 A
- +b) 5.509E+00 A
- -c) 6.060E+00 A
- -d) 6.666E+00 A
- -e) 7.333E+00 A

_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=5 V. The resistance, inductance, and capacitance are R =0.13 Ω, L= 5.30E-03H , and C=2.60E-06 F, respectively.

- -a) Q = 1.986E+02
- -b) Q = 2.284E+02
- -c) Q = 2.626E+02
- -d) Q = 3.020E+02
- +e) Q = 3.473E+02

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#### Key: Z2[edit]

- -a) 4.917E+00 A
- -b) 5.409E+00 A
- -c) 5.950E+00 A
- +d) 6.545E+00 A
- -e) 7.199E+00 A

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=1 V. The resistance, inductance, and capacitance are R =0.2 Ω, L= 4.30E-03H , and C=3.20E-06 F, respectively.

- -a) Q = 1.048E+02
- -b) Q = 1.205E+02
- -c) Q = 1.386E+02
- -d) Q = 1.594E+02
- +e) Q = 1.833E+02

3) The output of an ac generator connected to an RLC series combination has a frequency of 220 Hz and an amplitude of 0.71 V;. If R =7 Ω, L= 8.20E-03H , and C=9.40E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- -a) 8.146E-01 &rad;
- -b) 8.960E-01 &rad;
- +c) 9.856E-01 &rad;
- -d) 1.084E+00 &rad;
- -e) 1.193E+00 &rad;

4) An ac generator produces an emf of amplitude 24 V at a frequency of 120 Hz. What is the maximum amplitude of the current if the generator is connected to a 96 mF inductor?

- -a) 3.014E-01 A
- +b) 3.316E-01 A
- -c) 3.647E-01 A
- -d) 4.012E-01 A
- -e) 4.413E-01 A

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