Question

(a) Define the term 'electric flux'. Write its SI unit.

(6) Given the components of an electric ficeld as E, = a, E, = 0 and E, = 0, where a

13 a

dmensional constant. Calculate the tlux through each face of the cube of side 'a, as showi

1n the figure, and the effective charge inside the cube.​

Answer 1

Answer:

a) Electric flux - Electric flux is the measure of number of electric field lines passing through any surface . It is a scalar quantity. It's S.I unit is volt meters. Gauss Law- It is defined as the total flux linked within a closed surface is equal to the 1ε0 times the total charge enclosed by that surface.

b) The electric field is along X-axis, thus the electric flux through all the surfaces except the faces ABCD and face EFGH as shown in the figure will be zero.

Magnitude of electric field at the face EFGH of the cube will be zero as x =0

Magnitude of electric field at the face ABCD of the cube is given by

E=αx=α/a

Total electric flux through the cube is given by :

ϕ=EAcos0∘=αa×(a)2×(+1)=+αa3Nm2C−1 .