Question

A hemispherical surface of radius R is kept in a uniform electric field E as shown in figure. The flux through the curved surface is:

• A. $E2\pi R^2$
• B. $E\pi R^2$
• C. $E4\pi R^2$
• D. $Zero$

Answer 1

Answer: (B)

$E\pi R^2$

Flux passing through the curved surface is equal to the flux passing through the flat surface.

Since flux through the flat surface ${\varphi }_{flat}=E\times Area=E\times \pi R^2$

Flux through the curved surface ${\varphi }_{curved}={\varphi }_{flat}=E\times \pi R^2$

Correct answer is option B.