Question

Two point charges +50 nc and −50 nc separated a distance of 1 mm are kept well inside a large sphere of radium 1 m. Electric flux emanating from the sphere is ______.

Options

• 50 × 10⁻¹² Vm

• 50 × 10⁻⁹ Vm

• 50 × 10⁻⁶ Vm

• Zero

Answer 1

Two point charges +50 nc and −50 nc separated a distance of 1 mm are kept well inside a large sphere of radium 1 m. Electric flux emanating from the sphere is zero.

Explanation:

Using Gauss’s law, the net electric flux through any closed surface is

Φ = `q_(enc)/epsilon_0`

Here, the sphere encloses two charges: +50 nC and −50 nC.

So the net enclosed charge is

q_enc ​ = +50 nC + (−50 nC) = 0

Therefore, Φ = `0/epsilon_0` = 0

So, the electric flux emanating from the sphere is zero.