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JEE Main 2023 (15 Apr, Shift 1) · Combination of Capacitors

Combination of Capacitors question from JEE Main 2023 (15 Apr, Shift 1)

Q51JEE Main 2023 · 15 APR · SHIFT 1Medium

Combination of Capacitors

In the given figure the total charge stored in the combination of capacitors is 100 μC100\ \mu\text{C}. The value of ' xx ' is _________.

Figure

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

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Answer: 5

  1. All three capacitors are in parallel across 10 V: Ceq=2+x+3=5+xC_{eq} = 2 + x + 3 = 5 + x.
  2. Q=CeqV⇒100=(5+x)×10Q = C_{eq}V \Rightarrow 100 = (5 + x)\times 10
  3. x=5x = 5
  4. Answer: 5
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