GATE EC 1995 Electromagnetics Solution Q 2

GATE EC 1995 Electromagnetics Solution Q 2

In the infinite plane, y=6m, there exists a uniform surface charge density of \left(1/6000\pi\right)\;\mu C/m^2 .The associated electric field strength is

a) 30\;\widehat i\;V/m

b) 3\;\widehat j\;V/m

c) 30\;\widehat K\;V/m

d) 60\;\widehat j\;V/m

Ans- b)

Explanation

\overrightarrow E=\frac{\rho_s}{2\in}{\widehat a}_n ……..{\widehat a}_n={\widehat a}_y

\rho_s=\frac1{6000\pi}\times10^{-6}C/m^2 \overrightarrow E=\frac{10^{-6}\times\pi}{2\times8.854\times10^{-12}\times6000\pi}{\widehat a}_y \overrightarrow E=3{\widehat a}_y=3jV/m

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