Question

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

• A. $30\hat{i}V/m$
• B. $$3\hat{j}V/m$$
• C. $$30\hat{k}V/m$$
• D. $$60\hat{j}V/m$$

Answer 1

The correct option is B $$3\hat{j}V/m$$

Ans : (b)

$\overrightarrow{E}=\frac{{\rho }_s}{2\in }{\hat{a}}_n$

$Where,{\hat{a}}_n={\hat{a}}_y$

${\rho }_s=\frac{1}{6000\pi }\times {10}^{-6}C/m^2$

$\overrightarrow{E}=\frac{{10}^{-6}\times \pi }{2\times 8.854\times {10}^{-12}\times 6000\pi }{\hat{a}}_y$

$\overrightarrow{E}=3{\hat{a}}_y=3jV/m$