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Capacitor question

2022 · Q164
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Capacitor question

2022 · Q164

NEETPhysicsCapacitorMCQ+4 / −1

The effective capacitances of two capacitors are 3 μ\muμF and 16 μ\muμF, when they are connected in series and parallel respectively. The capacitance of two capacitors are :

  1. A
    1.2 μ\muμF, 1.8 μ\muμF
  2. B
    10 μ\muμF, 6 μ\muμF
  3. C
    8 μ\muμF, 8 μ\muμF
  4. D
    12 μ\muμF, 4 μ\muμF
View written solutionFree

Correct answer: D

Here, $${1 \over {{C_1}}} + {1 \over {{C_2}}} = {1 \over 3}$$ (Series combination)

While, ${C_1} + {C_2} = 16$ (Parallel combination)

Solving the above equations we get

${C_1} = 12\,\mu F$ and ${C_2} = 4\,\mu F$

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