A series LCR circuit with L = 100/π mH, C = 10⁻³/π F and R = 10 Ω, is connected across an ac source of 220 V, 50 Hz supply. The power factor of the circuit would b e ________.

Question

G1 Physics · Accepted Answer

X꜀ = 1/(ωC) = 1/[2π × 50 × (10⁻³/π)] = 10 Ω Xₗ = ωL = 2π × 50 × (100/π) × 10⁻³ = 10 Ω Since X꜀ = Xₗ, the circuit is in resonance. Power factor = R/Z = R/R = 1.