Question

A square sheet of side 'a' is lying parallel to XY plane at z = a. The electric field in the region is `vec E = cz^2 hat k`. The electric flux through the sheet is ______.

Options

• a⁴c

• `1/3 a^4c`

• `1/3 a^4c`

• 0

Answer 1

A square sheet of side 'a' is lying parallel to XY plane at z = a. The electric field in the region is `vec E = cz^2 hat k`. The electric flux through the sheet is a⁴c.

Explanation:

Flux = `barE . barA`

= `cz^2hatk * a^2hatk`

= cz²a²

It given, z = a

So, putting z² = a²