Q. The capacitance of a parallel plate capacitor with air as medium is 6 μF. With the introduction of a dielectric medium, the capacitance becomes 30 μF. The permittivity of the medium is : ($\epsilon_0 = 8.85 \times 10^{-12}$ $C^2$ $N^{-1}$ $m^{-2}$)

A) $1.77 \times 10^{-12}$ $C^2$ $N^{-1}$ $m^{-2}$
B) $0.44 \times 10^{-10}$ $C^2$ $N^{-1}$ $m^{-2}$
C) 5.00 $C^2$ $N^{-1}$ $m^{-2}$
D) $0.44 \times 10^{-13}$ $C^2$ $N^{-1}$ $m^{-2}$
Explanation

[Solution] K = 30/6 = 5; $\epsilon = K\epsilon_0 = 5 \times 8.85 \times 10^{-12} = 0.44 \times 10^{-10}$ $C^2N^{-1}m^{-2}$. The source key gives (3), which is incorrect. Answer (2).

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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

Want to attempt the full paper?
View Full Paper Take Full Paper Online