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Question: Answered & Verified by Expert
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

PhysicsCapacitanceJEE AdvancedJEE Advanced 2012 (Paper 2)
Options:
  • A $+32 \mu \mathrm{C}$
  • B $+40 \mu \mathrm{C}$
  • C $+48 \mu \mathrm{C}$
  • D $+80 \mu \mathrm{C}$
Solution:
2806 Upvotes Verified Answer
The correct answer is: $+48 \mu \mathrm{C}$
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 $q=\frac{3}{5} \times 80=48 \mu C$

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