Q129 / 160 · TS EAMCET 2017 · Physics

In the given circuit, a charge of $+80 \mu \mathrm{C}$ is given to upper plate of a $4 \mu \mathrm{F}$ capacitor. At steady state, the charge on the upper plate of the $3 \mu \mathrm{F}$ capacitor is Figure

  • A
    $60 \mu \mathrm{C}$
  • Correct answer
    B
    $48 \mu \mathrm{C}$
  • C
    $80 \mu \mathrm{C}$
  • D
    $0 \mu \mathrm{C}$

Solution

The net charge on upper plates both capacitor $(2 \mu \mathrm{F}$ and $3 \mu \mathrm{F}$ ) will be $+80 \mu \mathrm{C}$, so charge on upper plate of $3 \mu \mathrm{C}$ capacitor will be $$ \begin{aligned} & q=\left(\frac{3}{3+2}\right)(80 \mu \mathrm{C}) \\ & q=\frac{3}{5} \times 80=48 \mu \mathrm{C} \end{aligned} $$

Hence, the correct answer is option: 'B'.

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