A 100 V RMS source is connected across a 25 Ω resistor in parallel with a capacitor. The capacitor branch draws 3 A RMS. Determine the magnitude of the total source current in ampere.
Physics · AC Circuits · Parallel and Mixed AC Circuits
JEE Mains NEET

Question

A 100 V RMS source is connected across a 25 Ω resistor in parallel with a capacitor. The capacitor branch draws 3 A RMS. Determine the magnitude of the total source current in ampere.

G1 Physics · Accepted Answer

The resistor current is 100/25=4 A and is in phase with the voltage. The capacitor current is 3 A leading by 90°. Therefore total current = √(4²+3²)=5 A.