GATE EC 2014 Electromagnetics Solution Q 1

GATE EC 2014 Electromagnetics Solution Q 1

The force on a point charge+q kept at a distance d from the surface of an infinite grounded metal plate in a medium of permitivity \in is

a) 0

b) \frac{q^2}{16\pi\in d^2}\;away\;from\;the\;plate

c) \frac{q^2}{16\pi\in d^2}\;towards\;the\;plate

d) \frac{q^2}{4\pi\in d^2}\;towards\;the\;plate

Ans- c)

Explanation

GATE EC 2014 Electromagnetics Solution img1 - Grad Plus
F=\frac1{4\pi\varepsilon}\times\frac{q^2}{\left(2d\right)^2}=\frac{q^2}{16\pi\varepsilon d^2}

The force will be of attractive type between the charge and image charge. Hence towards the plate.

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