## Assignment on Gauss's Theorem

### Question 1

A point charge of +2μC is kept at a distance of 6cm above the center of a square of side 12cm. Find the flux through the square.

Ans: 3.76 x 105 Nm2C-1

### Question 2

The electric flux through the spherical Gaussian surface of 5.0 cm radius is -1.0 x 103Nm2C-1

(a) What is the charge inside the spherical surface?

(b) If the radius of the Gaussian surface is doubled, how much flux would pass through the surface.

(c) If the net outward flux is zero, can we conclude that there are no charges inside the surface? Explain.

Ans: -8.85 x 10-9C, Same, No

### Question 3

An infinite line charge produces a field of 4.5 x 106 NC-1 at a distance of 2 cm from it. Find the linear charge density.

Ans 5 x 10-6 Cm-1

### Question 4

A large sheet of surface area 300 m2 has a charge of 1800 μC distributed uniformly on its surface. Find the electric field at a distance of 15 cm from it.

Ans 6.8 x 105 NC-1

### Question 5

A thin charged spherical shell of radius 12 cm has a charge of 1.6 x 10 -7 C distributed uniformly on its surface. Find the electric field at a point:

(a) Inside the sphere

(b) Just outside the sphere

(c) 18 cm from the center of the sphere.

Ans (a) Zero (b) 1.0 x 105 NC-1 (c) 4.4 x 104 NC-1