A 100 Ω resistor and a capacitor of reactance 100 Ω are in series across a 220 V AC source. Find the maximum (peak) circuit current.
Options

Question

A 100 Ω resistor and a capacitor of reactance 100 Ω are in series across a 220 V AC source. Find the maximum (peak) circuit current.

G1 Physics · Accepted Answer

Step 1: The series combination has R = 100 Ω and capacitive reactance X(C) = 100 Ω, so Z = √(R² + X(C)²) = 100√2 Ω. Step 2: With supply V(RMS) = 220 V, RMS current I(RMS) = 220/(100√2) A. Step 3: Peak current I₀ = √2 I(RMS) = 2.2 A. The instantaneous displacement current has the same amplitude. Answer A. Final answer: (A) 2.2 A.