Question

An inductor 200 mH, capacitor 500mu F and resistor 10 Omega are connected in series with a 100 V variable frequency ac source. What is the frequency at which the power factor of the circuit is unity?

Answer 1

Explanation:

Here L=200mH=200×10^−3H=0.2H

C=500μF=500×10^-6=5×10^−4F

R=10Ω and Vrms=100V

now please refer attachment 1

R^2+(XL−XC)^2=R^2⇒XL−XC=0

or XL=XC (This is resonance condition)

now please reply attachment 2

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