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Question

Physics Question on Electric charges and fields

Two parallel metal plates having charges +Q+ Q and Q-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

A

become zero

B

increase

C

decrease

D

remain same

Answer

decrease

Explanation

Solution

The electric field between two charged parallel plates placed in air is
E=σε0=Qε0AE = \frac{\sigma}{\varepsilon_0} = \frac{Q}{\varepsilon_0 A} ...(i)
When the parallel plates are immersed in kerosene oil tank of dielectric constant KK, the electric field between the plates is
E=σKε0=QKε0A=EKE' =\frac{\sigma}{K \varepsilon_0 } = \frac{Q}{K \varepsilon_0 A} = \frac{E}{K} (Using (i))
EE=1K\therefore \, \frac{E'}{E} =\frac{1}{K}
As K>1K > 1 , so E<EE' < E