Question 1

The average power input to a series alternating current circuit is minimum when

Accepted Answer

A)  there are only a resistor and capacitor in the circuit. 
B)  there are only a resistor and inductor in the circuit. 
C)  there is only a resistor in the circuit. 
D)  XL = XC and the circuit contains a resistor, an inductor and a capacitor. 
E)  there is only a capacitor in the circuit. 
A)  there are only a resistor and capacitor in the circuit. 
B)  there are only a resistor and inductor in the circuit. 
C)  there is only a resistor in the circuit. 
D)  XL = XC and the circuit contains a resistor, an inductor and a capacitor. 
E)  there is only a capacitor in the circuit.

Question 2

Find the resonant frequency for a series RLC circuit where R = 10Ω, C = 5.00 μF, and L = 2.00 mH.

Accepted Answer

A)  998 Hz 
B)  1.59 kHz 
C)  2.45 kHz 
D)  11.3 kHz 
E)  2.53 kHz 
A)  998 Hz 
B)  1.59 kHz 
C)  2.45 kHz 
D)  11.3 kHz 
E)  2.53 kHz

Question 3

All three circuits below have R = 100 Ω, C = 1.0 mF and emf ε = (5.0 V) sin (377 t). The inductors in (B) and (C) are placed sufficiently far apart so that they do not alter one another's inductance. Such inductors add combine like resistors. Which statement regarding the angular resonance frequencies ωA, ωB and ωC is correct?

Accepted Answer

A)  ωC > ωA = ωB 
B)  ωC A = ωB 
C)  ωA = ωB = ωC 
D)  ωB A = ωC 
E)  ωB > ωA = ωC 
A)  ωC > ωA = ωB 
B)  ωC A = ωB 
C)  ωA = ωB = ωC 
D)  ωB A = ωC 
E)  ωB > ωA = ωC

Question 4

An electric heater draws an average power of 1100 Watts when plugged into a 110 V-rms outlet. Calculate the resistance of the heater and the rms current.

Accepted Answer

A)  11Ω, 10 A (rms) 
B)  110Ω, 10 A (rms) 
C)  10Ω, 11 A (rms) 
D)  10Ω, 110 A (rms) 
E)  0.09Ω, 11 A (rms) 
A)  11Ω, 10 A (rms) 
B)  110Ω, 10 A (rms) 
C)  10Ω, 11 A (rms) 
D)  10Ω, 110 A (rms) 
E)  0.09Ω, 11 A (rms)

Question 5

For driving voltage V = Vm sin ωt, the current through the resistor is

Accepted Answer

A)  Vm sin (ωt + φ) 
B)  Vm cos (ωt + φ) 
C) 
  sin (ωt + φ) 
D) 
  sin (ωt + φ) 
E) 
  sin ωt 
A)  Vm sin (ωt + φ) 
B)  Vm cos (ωt + φ) 
C) 
  sin (ωt + φ) 
D) 
  sin (ωt + φ) 
E) 
  sin ωt

Exam 33: Alternating-Current Circuits

The average power input to a series alternating current circuit is minimum when

Find the resonant frequency for a series RLC circuit where R = 10Ω, C = 5.00 μF, and L = 2.00 mH.

An electric heater draws an average power of 1100 Watts when plugged into a 110 V-rms outlet. Calculate the resistance of the heater and the rms current.

For driving voltage V = Vm sin ωt, the current through the resistor is

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For driving voltage V = V_m sin ωt, the current through the resistor is