Question

In the diagram, the total electric flux through the closed surface ‘S’ is:

[Given q = charge ε₀ = permittivity of free space]

Options

• `q/epsilon_0`

• `(-2q)/epsilon_0`

• `(-q)/epsilon_0`

• `(3q)/epsilon_0`

Answer 1

`bb(q/epsilon_0)`

Explanation:

Gauss’s Law states that the total electric flux (Φ) through any closed surface is equal to 1 lε₀ times the net charge enclosed by that surface:

Φ = `q_"enclosed"/epsilon_0`

Since the net enclosed charge is simply q, the total flux is:

Φ = `q/epsilon_0`