Question

Net electric flux through a sphere of radius 1 m
placed in a uniform electric field as shown in the
figure is
E = 10^3 N/C

Answer 1

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Answer 2

Given:

A sphere in an electric field as shown.

E = 10³ N/C

r = 1

To Find:

The net electric flux passing through the sphere.

Calculation:

- The electric field is entering through the left and leaving through the right portion of the sphere.

- So, the area through which it passes is actually not the whole surface area of the sphere but the area of cross-section.

- Hence, the electric flux is given as:

φ = E.A

⇒ φ = E × πr²

⇒ φ = 10³ × 3.14 × (1)²

⇒ φ = 3.14 × 10³ Nm²/C

- So, the net electric flux passing through the sphere is 3.14 × 10³ Nm²/C.