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JEE Main 2021 (27 Aug, Shift 2) · Combination of Capacitors

Combination of Capacitors question from JEE Main 2021 (27 Aug, Shift 2)

Q62JEE Main 2021 · 27 AUG · SHIFT 2Easy

Combination of Capacitors

Three capacitors C1 = 2μ\muF, C2 = 6μ\muF and C3 = 12μ\muF are connected as shown in figure. Find the ratio of the charges on capacitors C1, C2 and C3 respectively:

Figure

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Answer: (c)

  1. C1C_1 is directly across VV: Q1=2V μCQ_1 = 2V\ \mu\text{C}.
  2. C2C_2 and C3C_3 are in series: C23=6×1218=4 μFC_{23} = \frac{6\times12}{18} = 4\ \mu\text{F}, so Q2=Q3=4V μCQ_2 = Q_3 = 4V\ \mu\text{C}.
  3. Q1:Q2:Q3=2:4:4=1:2:2Q_1 : Q_2 : Q_3 = 2 : 4 : 4 = 1 : 2 : 2.
  4. So the answer is (c) 1:2:21:2:2.
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