Question

An infinite plane sheet of a metal is charged to charge density $\sigma C/m^2$ in a medium of dielectric constant K. Intensity of electric field near the metallic surface will be :

• A. $E=\frac{\sigma }{{\epsilon }_{{}_0}K}$
• B. $E=\frac{\sigma }{2{\epsilon }_{{}_0}}$
• C. $E=\frac{\sigma }{2{\epsilon }_{{}_0}K}$
• D. $E=\frac{K\sigma }{2{\epsilon }_{{}_0}}$

Answer 1

The correct option is A $E=\frac{\sigma }{{\epsilon }_{{}_0}K}$

We know inside a conductor $E=0$
$\therefore$ applying gauss law we get
$E\times A=\frac{\sigma \times A}{K{\epsilon }_0}$

$E=\frac{\sigma }{K{\epsilon }_0}$