Q. In a parallel plate capacitor of capacitance $C,$ a metal sheet is inserted between the plates, parallel to them. If the thickness of the sheet is half of the separation between the plates. The capacitance will be
A) $C/2$
B) $3C/4$
C) $4C$
D) $2C$
Explanation
(d) $C = \frac{\varepsilon_{0}A}{d}$ and $C^{'} = \frac{\varepsilon_{0}A}{\left( d - \frac{d}{2} + \frac{(d/2)}{\infty} \right)} = \frac{2\varepsilon_{0}A}{d}$
$\Rightarrow C^{'} = 2C$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.