Q. A slab of copper of thickness $b$ is inserted in between the plates of parallel plate capacitor as shown in figure. The separation between the plates is $d$ if $b = d/2$, then the ratio of capacities of capacitors after and before inserting the slab will be

A) $\sqrt{2\ }:1$
B) 2 : 1
C) 1 : 1
D) 1 : $\sqrt{2\ }$
Explanation

(b) $C = \frac{A\varepsilon_{0}}{d}$
After inserting the slab
$C^{'} = \frac{A\varepsilon_{0}}{(d - b)} = \frac{A\varepsilon_{0}}{d - \frac{d}{2}}$
$C' = \frac{2A\varepsilon_{0}}{d}$ $\ \ \therefore\ \frac{C^{'}}{C} = \frac{2}{1}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.