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JEE Main 2022 (26 Jun, Shift 2) · Combination of Capacitors

Combination of Capacitors question from JEE Main 2022 (26 Jun, Shift 2)

Q56JEE Main 2022 · 26 JUN · SHIFT 2Medium

Combination of Capacitors

The charge on capacitor of capacitance 15μ\muF in the figure given below is:

Figure

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Answer: (a)

  1. Series: 1C=110+115+120=6+4+360=1360\frac{1}{C} = \frac{1}{10} + \frac{1}{15} + \frac{1}{20} = \frac{6+4+3}{60} = \frac{13}{60}, so C=6013 μFC = \frac{60}{13}\ \mu\text{F}.
  2. Q=CV=6013×13=60 μCQ = CV = \frac{60}{13}\times 13 = 60\ \mu\text{C}
  3. In series every capacitor has the same charge, so the 15 μF15\ \mu\text{F} has 60 μC60\ \mu\text{C}.
  4. So the answer is (a) 60μ\muC.
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