Problem: A RLC series circuit with an AC voltage source has a  200 Ω resistor and a 25.0 mH inductor. At 8000 Hz, the phase angle is 45.0°. (a) What is the impedance? (b) Find the circuit’s capacitance. (c) If Vrms = 408 V is applied, what is the average power supplied?

FREE Expert Solution

Impedance, resistance, capacitive reactance, and inductive reactance are related by:

Z=R2+(XL-XC)2, where R is the resistance. 

Inductive reactance:

XL=2πfL, where f is the frequency and  L is the inductance.

Capacitive reactance:

XC=12πfC, where C is the capacitance.

Power:

Pavg=Vrms2Zcosϕ

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Problem Details

A RLC series circuit with an AC voltage source has a  200 Ω resistor and a 25.0 mH inductor. At 8000 Hz, the phase angle is 45.0°. 

(a) What is the impedance? 

(b) Find the circuit’s capacitance. 

(c) If Vrms = 408 V is applied, what is the average power supplied?

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