Q. A parallel plate air capacitor has a capacitance 18 $\mu$F.If the distance between the plates is trapled and a dielectric medium is introduced, the capacitance becomes 72 $\mu$F. The dielectric constant of the medium is

A) 4
B) 9
C) 12
D) 2
Explanation

(c) $C_{0} = \frac{\varepsilon_{0}A}{d}\ $=18
$C_{0} = \frac{{K\varepsilon}_{0}A}{3d}$ =72
Dividing $Eq.\ \ (ii)\ by\ Eq.$ (i)
$\frac{k}{3} = \frac{72}{18} = 4$
$K = 12$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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