A series RCL circuit driven at angular frequency w = 597 rad/s has a capacitive

Question

A series RCL circuit driven at angular frequency w = 597 rad/s has a capacitive reactance XC = 863 W, an inductive reactance XL = 564 W and a resistance R = 447 W. The resulting oscillating current has a maximum of Imax = 0.95 A. The resistor, capacitor and inductor are in series with the generator.

(a) What is the total impedance, Z?

Z = W    

(b) What is the maximum value of the voltage across the capacitor?

V = V    

(c) What is the rms value of the voltage across the resistor?

V = V    

(d) What is the average power consumption of the circuit?

P = W    

Explanation / Answer

part a )

Z = sqrt(R^2 + (XL - Xc)^2 )

Z = 537.78 ohm

part b )

Vmax = Imax*Z

Vmax = 510.89 V

part c )

Vrms = Vmax/sqrt(2)

Vrms = 361.256 V

part d )

Pavg = Irms*Vrms

Pavg = 184562.16 W

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