Question

Q). The flux through the hemispherical surface in the figure shown below is



(1) πR 2 E
(2) 2 πR 2 E
(3) πRE
(4) Zero

Answer 1

Given:

A hemisphere is placed in a uniform electrostatic field.

To find:

Flux through the hemispherical surface.

Calculation:

Flux through any surface can be calculated by the product of the electrostatic field intensity and the projecting surface area.

In a hemisphere , the projecting surface area is is the area of the cross-sectional circle.

Let flux be $\phi$

$\therefore \: \phi = E \: \times \: area$

$= > \: \phi = E \: \times \: \pi {r}^{2}$

$= > \: \phi = E \pi {r}^{2}$

Hence final answer is :

$\boxed{ \bold{ \large{\: \phi = E \pi {r}^{2} }}}$

Answer 2

Answer:

pi×R^2×E

Explanation:

flux = area×E=piR^2×E