In a series LCR circuit, measured RMS voltages across resistance, capacitance and inductance are 80 V, 40 V and 100 V respectively. Find the power factor.
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In a series LCR circuit, measured RMS voltages across resistance, capacitance and inductance are 80 V, 40 V and 100 V respectively. Find the power factor.

G1 Physics · Accepted Answer

Step 1: In series LCR the supply voltage is phasor sum: V=√[V_R²+(V(L)−V(C))²]. Step 2: Substitute V(R)=80V,V(C)=40V,V(L)=100V: V=√[80²+(100−40)²]=100V. Step 3: Power factor cosφ=V(R)/V=80/100=0.8. Correct C. Final answer: (C) 0.8.