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#4) A series RCL circuit contains a 48.0-? resistor, a 1.70-?F capacitor, and a 4.20-mH inductor. When the frequency is 2575 Hz, what is the power factor of the circuit?
you got correct
? = 2pi*f = 2pi*2575 = 16171 rad/s
Inductive reactance XL = ?*L = 16171 * 4.20*10^-3 H = 67.91 ?
Capacitive reactance Xc = -1 / ?*C = 1/(16171 * 1.7*10^-6) = -36.37 ?
Net reactance X = 67.91 - 31.2 = 36.71 ?
Impedance angle is arctan(X/R) = tan(36.71 / 48) = 37.40 deg
Power Factor = cos(37.40) = 0.794
Power Factor =0.794
#4) A series RCL circuit contains a 48.0-? resistor, a 1.70-?F capacitor, and a 4.20-mH inductor....
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