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An AC source, of voltage V = V0 sin ωt, is applied across a

(a)  series RC circuit in which the capacitative impedance is a times the resistance in the circuit.

(b)  series RL circuit in which the inductive impedance is b times the resistance in the circuit. Calculate the value of the power factor of the circuit in each case.

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Best answer

∴ Power factor cos ϕ = R/Z

where ϕ = phase difference between V and Z

R = ohmic resistance

Z  = impendance

(a)  Given, XC = aR

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