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MHT CET 2025 (25 Apr, Shift 2) · Parallel Plate Capacitor

Parallel Plate Capacitor question from MHT CET 2025 (25 Apr, Shift 2)

Q4MHT CET 2025 · 25 APR · SHIFT 2Medium

Parallel Plate Capacitor

Two identical metal plates are given charges q1q_1 and q2 (q2<q1)q_2\ (q_2 < q_1) respectively. If they are now brought close together to form a parallel plate capacitor with capacitance ' C ', the potential difference ' VV ' between the plates is

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Answer: (c)

  1. Charge on outer faces =q1+q22= \frac{q_1 + q_2}{2} each; inner faces carry ±q1−q22\pm\frac{q_1 - q_2}{2}.
  2. Only the inner charges make the field between the plates, so effective charge Q=q1−q22Q = \frac{q_1 - q_2}{2}.
  3. V=QC=q1−q22CV = \frac{Q}{C} = \frac{q_1 - q_2}{2C}
  4. So the answer is (c) q1−q22C\frac{q_1 - q_2}{2C}.
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