Question

Electric field due to an infinite sheet of charge having surface density $\sigma$ is $E$. Electric field due to an infinite conducting sheet of same surface density of charge is

• A. $E/2$
• B. $E$
• C. $2E$
• D. $4E$

Answer 1

Answer: (A)

The correct option is

C

E/2E

Electric field due to infinite sheet of charge:

E=σ2ε0 E = \cfrac{\sigma}{2\varepsilon_0}E=2ε0​σ​

Electric field due to conducting sheet of same density of charge:

$E^{\prime }=\frac{\sigma }{2{\epsilon }_o}+\frac{\sigma }{2{ϵ}_o}=\frac{\sigma }{{ϵ}_o}$

$E^{\prime \prime }=2E^{\prime }=\frac{2\sigma }{{ϵ}_o}=2E$