JEE Main 2022 · 26 Jul · Shift 1 · Physics Q57

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PhysicsInteger+4 / -1Question 57 of 90

The effective current I in the given circuit at very high frequencies will be ______ A.

220 V AC source feeding a ladder network: top branch 8 Ω, 20 mH, 6 μF, 4 Ω, 50 mH, 8 Ω; bottom branch 0.5 μF, 1 Ω, 0.8 μF, 4 Ω, 0.8 μF, 2 Ω; two 0.5 μF capacitors as rungs between the branches.

Your answer

Answer and worked solution

Official answer: 44

Very high frequency. Inductors act as open circuits and capacitors as short circuits, so the top branch carries no current and the rungs short the bottom branch's capacitors.

Remaining resistance $1+4+\ldots$ reduces to 5 Ω (as keyed): $I=\frac{220}5=44$ A.

Answer: 44

Topics:Reactance and impedance

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JEE Main 2022 · 26 Jul · Shift 1, Physics question 57