The charge on \(4 \mu \mathrm{F}\) capacitor, in the given circuit is

The charge on \(4 \mu \mathrm{F}\) capacitor, in the given circuit is
  1. \(24 \mu \mathrm{C}\)
  2. \(100 \mu \mathrm{C}\)
  3. \(2.4 \mu \mathrm{C}\)
  4. \(30 \mu \mathrm{C}\)

Solution

The circuit can be redrawn as,
\(C_{\mathrm{cq}}=\frac{4 \times 6}{4+6}=2.4 \mu \mathrm{F}\) As we know, potential drop across parallel branch \(A B\) is \(V_{A B}=10 \mathrm{~V}\) So, charge \(Q=C_{\mathrm{eq}} V=2.4 \times 10 \times 10^{-6} \mathrm{C}\) \(Q=24 \mu \mathrm{C}\) Since, in a series capacitor branch, there is equal storage of charge in each capacitor. So, \(4 \mu \mathrm{F}\) capacitor store a charge of \(24 \mu \mathrm{C}\). Hence, the correct option is (a).

Asked in: AP EAMCET 2019 (23 Apr Shift 1)

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