Question

A uniform electric field of magnitude E exists in a region. Electric flux entering a spherical surface of radius R in that region will be

4πR2E

Zero

2πR2E

πR2E

Answer 1

Given:

A uniform electric field of magnitude E exists in a region.

To find:

Flux through a spherical surface?

Calculation:

$\boxed{ \therefore \phi = E \times (area)}$

• Here the area will be the projecting area of the 3D object. The projecting area vector should be parallel to the electric field intensity vector.

• Now, refer to the diagram.

$\implies \phi = E \times (\pi {R}^{2} )$

$\implies \phi = \pi {R}^{2} E$

So, final answer is:

$\boxed{ \bf\phi = \pi {R}^{2} E}$

Answer 2

Explanation:

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