21) A series circuit has a resistance of 4.0 Ω, a reactance (due to the capacitance) of 21.0 Ω, and a reactance (due to the inductance) of 17.0 Ω. Find the impedance of the circuit.

A) 5.7 Ω

B) 27 Ω

C) 8.0 Ω

D) 42 Ω

22) The phase angle of an *LRC* series circuit with an inductive reactance of 200 Ω and a capacitive reactance of 100 Ω is 40.0°. What is the value of the resistor in this circuit?

A) 100 Ω

B) 119 Ω

C) 156 Ω

D) 200 Ω

E) 265 Ω

23) The phase angle of an *LRC* series circuit with an inductive reactance of 200 Ω, a resistor of 200 Ω and a certain capacitor at 1000 Hz is 40.0°. What is the value of the capacitance in this circuit?

A) 1.95 µF

B) 2.95 µF

C) 3.95 µF

D) 4.95 µF

E) 5.95 µF

24) The phase angle of an *LRC* series circuit with a capacitive reactance of 40 Ω, a resistor of 100 Ω and a certain inductor at 1000 Hz is 40.0°. What is the value of the inductance in this circuit?

A) 11.8 mH

B) 124 mH

C) 212 mH

D) 61.9 mH

E) 19.7 mH

25) An *LRC* series circuit has voltage supplied to it at a frequency of 13.0 kHz with a phase difference between the current and the voltage of magnitude 0.20 rad. If the circuit has a capacitance of 5.0 μF and an inductance of 0.050 H find the resistance of the circuit.

A) 20 kΩ

B) 0.99 kΩ

C) 9.0 kΩ

D) 0.32 kΩ

26) A series *LRC* ac circuit has a resistance of 4.0 kΩ, a capacitance of 33.0 μF, and an inductance of 23.0 H. If the frequency of the alternating current is 2.0/π kHz, what is the phase angle between the voltage and the current?

A) 1.5 rad

B) -1.6 rad

C) 23 rad

D) 3.1 rad

27) An *LRC* ac series circuit has *R* = 15 Ω, *L* = 25 mH, and *C* = 30 μF. The circuit is connected to a 120-V (rms) ac source with frequency 200 Hz.

(a) What is the average power dissipated by the circuit?

(b) What is the power factor for the circuit?

28) An *LRC* ac series circuit with *R* = 15 Ω, *L* = 25 mH, and *C* = 30 μF, is attached to a 100-V (rms) ac power supply. The frequency of the power supply is adjusted so that the circuit is in resonance.

(a) What is the rms current in the circuit?

(b) What is the power dissipated by the circuit?

29) What is the average power dissipated by a 25-Ω resistor in an *LRC* series ac circuit for which the power factor is equal to 0.25 and the maximum voltage of the ac source is 8.0 V?

A) 0.040 W

B) 0.32 W

C) 0.16 W

D) 0.62 W

E) 0.080 W

30) A series *LRC *ac circuit has a peak voltage of 111 V and a peak current of 2.00 A. If the current lags the voltage by 35.0°, what is the average power of the circuit?

A) 91 W

B) 182 W

C) 78 W

D) 156 W

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