Question

A parallel plate capacitor of capacitance $6\mu F$ in air and $60\mu F$. When dielectric is introduced. What is the dielectric constant of the medium.?

• A. $0.4$
• B. $0.1$
• C. $0.77$
• D. $0.25$

Answer 1

Answer: (B)

$0.1$

Capacitance in air, $C=6\mu F$

Capacitance in Dielectric, $c^{\prime }=60\mu F$

Capacitance of parallel plate capacitor is increased by insertion of a dielectric medium by '$k$' times.

where $k=$ Dielectric constant

$C=\frac{E_0}{D}$, $C^{\prime }=k\frac{E_0}{D}$

$\therefore c^{\prime }=kC$

or $k=\frac{C}{c^{\prime }}$

$k=\frac{6}{60}=0.1$.