Physics - Capacitor Question with Solution | TestHub

In parallel plate capacitor $$C={\epsilon }_0\frac{A}{d}$$ Now $$d^{\prime }=2d$$ Hence, $$C^{\prime }=\frac{{\epsilon }_{0}A}{d^{\prime }}=\frac{{\epsilon }_{0}A}{2d}$$ From Eqs. (i) and (ii) $$\begin{array}{l}\frac{C^{\prime }}{C}=\frac{1}{2}\\ C^{\prime }=\frac{C}{2}\end{array}$$ Putting $C=10\mu \mathrm{F}$ $$C^{\prime }=\frac{10}{2}=5\mu \mathrm{F}$$