An air parallel plate capacitor has capacity $C.$ The capacity and distance between plates are doubled when immersed in a liquid then dielectric constant of the liquid is

Question

Dr. Abubacker · Accepted Answer

(d) The capacitance of parallel plate air capacitor
$C = \frac{\varepsilon_{0}A}{d}$ …(i)
where $A\ $is the area of each plate and $d$ is the distance between the plates. In a medium of dielectric constant $K$ and with given condition
$C^{'} = \frac{K\varepsilon_{0}A^{'}}{d'}$
Given, $\ \ \ \ A^{'} = A,d^{'} = 2d,\ C^{'} = 2C$
$	herefore\ 2C = \frac{K\varepsilon_{0}A}{2d}$ …(ii)
Equating Eqs. (i) and (ii), we get
$\ \ \ \ \ K = 4$

Q. An air parallel plate capacitor has capacity $C.$ The capacity and distance between plates are doubled when immersed in a liquid then dielectric constant of the liquid is

Explanation

Reviewed by Dr. Abubacker

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