Question

A square sheet of side ‘a’ is lying parallel to XY plane at z= a. The electric field in the region is E = cz^2 k cap. The electric flux through the sheet is
(a) a^4c
(b) 1/3a^3c
(c) 1/3a^4c
(d) 0​

Answer 1

Answer:

According to given data..

As the given electric field is k cap direction and the area vector is j cap direct and both are mutually perpendicular.

That's why angle between them is 90 degree.

Formula

electric flux = B. A

since cos 90 = 0 .

Therefore correct✅ option is D (zero)

Answer 2

GIVEN:

A square sheet parallel to xy plane with length L=a

The electric field  E = cz^2 k cap

TO FIND:

The electric flux through the sheet

SOLUTION:

Area of the square (A)$=a^{2}$

Flux$=a^{2}(a^{2}ck) \\=a^{4}C$

Therefore, the correct option will be (a) and the electric flux through the sheet is a^4c