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JEE Main 2021 (31 Aug, Shift 2) · Parallel AC Circuits

Parallel AC Circuits question from JEE Main 2021 (31 Aug, Shift 2)

Q10JEE Main 2021 · 31 AUG · SHIFT 2Medium

Parallel AC Circuits

At very high frequencies, the effective impedance of the given circuit will be ________________ Ω\Omega.

Figure

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

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Answer: 2

  1. At very high frequency capacitors act as shorts and the 20 H inductor is open.
  2. Lower-left branch (1 Ω\Omega + 20 H) carries no current; the vertical 0.5 F joins the two middle nodes.
  3. Path: 1 Ω1\ \Omega, then 2 Ω∥2 Ω=1 Ω2\ \Omega \parallel 2\ \Omega = 1\ \Omega
  4. Z=1+1=2 ΩZ = 1 + 1 = 2\ \Omega
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