If an RCL series circuit contains a resistance R = 320 ohms, a capacitance C = 4

Question

If an RCL series circuit contains a resistance R = 320 ohms, a capacitance C = 4.2 µF, and an inductance of L = 0.22 H, calculate the inductive reactance XL if the circuit is connected to a voltage source whose frequency is 420 Hz.

I found XL to be 580.6, XC to be 90.23 and Z is 585.5.

1. If the rms voltage across the generator is 154 V, calculate the average power P(at 420 Hz) being used by the circuit.

P(at 420 Hz) =

2. Calculate the resonant frequency fres of the circuit using the above values for R, L, and C.

fres =

Explanation / Answer

hope the vlaues you founf are correct.

1. Power avg= Vrms^2/Z

Pavg = 154* 154/585.5

Pavg = 40.50 watts

2. resonant frequency w= 1/sqrt(LC)

w = 2pif = 1/sqrt(0.22*4.2*10^-6)

2pif = 1040.3129

f = 1040.3129/2pi

f = 165.65Hz

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