Question

An infinite parallel plane sheet of a metal is charged to charge density $\sigma$ coulomb per square metre 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 C $E=\frac{\sigma }{{2\epsilon }_{0}K}$

Electric field intensity due to thin infinite plane sheet of charge,
$E=\frac{\sigma }{2\epsilon }=\frac{\sigma }{2{\epsilon }_{0}K}$
Where dielectric constant, $K=\frac{\epsilon }{{\epsilon }_0}$