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## Assignment on Gauss's Theorem

### Question 1

### Question 2

### Question 3

### Question 4

### Question 5

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 10^{5} Nm^{2}C^{-1}

The electric flux through the spherical Gaussian surface of 5.0 cm radius is -1.0 x 10^{3}Nm^{2}C^{-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^{-9}C, Same, No

An infinite line charge produces a field of 4.5 x 10^{6} NC^{-1} at a distance
of 2 cm from it. Find the linear charge density.

Ans 5 x 10^{-6} Cm^{-1}

A large sheet of surface area 300 m^{2} 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 10^{5} NC^{-1}

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 10^{5} NC^{-1} (c) 4.4 x 10^{4} NC^{-1}