Question

a region is given by
late the electric flux
side 10.0 cm in the
The electric field in a region is
E = 5.0K N/C. Calculate the ele
Through a square of side 10.0 cm
following cases
(1) the square is along the XY plane
[Ans: = 5.0*10-2Vm]
(ii) The square is along XZ plane
[Ans: Zero]
(iii) The normal to the square makes an
angle of 45° with the Z axis.
[Ans: 3.5x10-2Vm]​

Answer 1

Explanation:

a region is given by

late the electric flux

side 10.0 cm in the

The electric field in a region is

E = 5.0K N/C. Calculate the ele

Through a square of side 10.0 cm

following cases

(1) the square is along the XY plane

[Ans: = 5.0*10-2Vm]

(ii) The square is along XZ plane

[Ans: Zero]

(iii) The normal to the square makes an

angle of 45° with the Z axis.

[Ans: 3.5x10-2Vm]

Answer 2

Thus the value of e along xy plane is Φ =  5 / √2 x 10^-2 Wb

Explanation:

E = 5.0K N/C

Sphere is along xy plane ds.

Area vector is along Z axis.

Φ = ∫E.ds =

Φ = E.A

Φ = E.A where A is along z axis.

Φ = E.A cosθ

Φ = 5 x  10 x 10 x 10^-4

Φ = 5 x 10^-2 Wb

Square along xy plane.

A along y axis.

θ = 90°      (cos 90° = 0)

θ = 45°

Φ = E.A cos45°

Φ = 5 x  10 x 10 x 10^-4 x 1/√2

Φ =  5 / √2 x 10^-2 Wb