A 100 V RMS source is connected across three parallel branches containing R = 20 Ω, Xʟ = 25 Ω and Xᴄ = 50 Ω. If the total current is √N A, determine N.
Physics · AC Circuits · Parallel and Mixed AC Circuits
JEE Mains NEET

Question

A 100 V RMS source is connected across three parallel branches containing R = 20 Ω, Xʟ = 25 Ω and Xᴄ = 50 Ω. If the total current is √N A, determine N.

G1 Physics · Accepted Answer

Iᵣ=100/20=5 A, Iʟ=100/25=4 A lagging and Iᴄ=100/50=2 A leading. The net reactive current is 2 A lagging. Hence I² = 5²+2² = 29, so N=29.