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← JEE Main 2026 · 6 Apr · Shift 1
PhysicsSingle correct+4 / -1Question 45 of 75

JEE Main 2026 · 6 Apr · Shift 1, Physics question 45

A LCR series circuit driven with Erms=90E_{rms}=90 V at frequency fd=30f_d=30 Hz has resistance R=80R=80 Ω, an inductance with inductive reactance XL=20.0X_L=20.0 Ω and capacitance with capacitive reactance XC=80.0X_C=80.0 Ω. The power factor of the circuit is ________.

Choose one option
Answer and worked solution

Official answer: A

Impedance.
Z=802+(20−80)2=100 Ω.Z=\sqrt{80^2+(20-80)^2}=100\ \Omega.

Power factor. RZ=0.8\dfrac RZ=0.8.

(A)