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JEE Main 2022 (26 Jul, Shift 1) · Parallel AC Circuits

Parallel AC Circuits question from JEE Main 2022 (26 Jul, Shift 1)

Q5JEE Main 2022 · 26 JUL · SHIFT 1Medium

Parallel AC Circuits

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

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Numerical answer type. Work it out, then open the answer.

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Answer: 44

  1. At very high frequency inductors are open and capacitors are shorts.
  2. 8 Ω\Omega-20 mH and 50 mH-8 Ω\Omega branches carry no current; the vertical 0.5 μ\muF capacitors join top and bottom nodes.
  3. Path: 1 Ω1\ \Omega, then 4 Ω∥4 Ω=2 Ω4\ \Omega \parallel 4\ \Omega = 2\ \Omega, then 2 Ω2\ \Omega: Req=5 ΩR_{eq} = 5\ \Omega
  4. I=220/5=44I = 220/5 = 44 A
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