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Q. Two parallel metal plates having charges $+ Q$ and $-Q$ face each other at a certain distance between them. If the plates are now dipped in kerosene oil tank, the electric field between the plates will

JIPMERJIPMER 2013Electric Charges and Fields

Solution:

The electric field between two charged parallel plates placed in air is
$E = \frac{\sigma}{\varepsilon_0} = \frac{Q}{\varepsilon_0 A}$ ...(i)
When the parallel plates are immersed in kerosene oil tank of dielectric constant $K$, the electric field between the plates is
$E' =\frac{\sigma}{K \varepsilon_0 } = \frac{Q}{K \varepsilon_0 A} = \frac{E}{K}$ (Using (i))
$\therefore \, \frac{E'}{E} =\frac{1}{K}$
As $K > 1 $, so $E' < E$