In the given circuit, a charge of $+80 \mu C$ is given to the upper plate of the $4 \mu F$ capacitor. Then…

In the given circuit, a charge of $+80 \mu C$ is given to the upper plate of the $4 \mu F$ capacitor. Then in the steady state, the charge on the upper plate of the $3 \mu F$ capacitor is
  1. $+32 \mu \mathrm{C}$
  2. $+40 \mu \mathrm{C}$
  3. $+48 \mu \mathrm{C}$
  4. $+80 \mu \mathrm{C}$

Solution

The total charge on plate $A$ will be $80 \mu \mathrm{C}$. $2 \mu F$ and $3 \mu F$ capacitors are in parallel. Therefore, $C_{e q}=2+3=5 \mathrm{HF}$ Charge on capacitor of $3 \mu \mathrm{F}$ capacitance $q=\frac{3}{5} \times 80=48 \mu C$

Asked in: JEE Advanced 2012 (Paper 2)

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