1. If the radius of the Gaussian surface enclosing a charge is halved,
how does the electric flux through the Gaussian surface change?

**No change**

2. A charge Q micro coulomb is placed at the centre of a
cube. What would be the flux through one face?

**Q/6ε**

_{0}
3. If the E=8i+4j+3k NC

^{-1}, Calculate the electric flux through a surface of area 100 m^{2 }lying in x-y plane
ɸ= EScosθ =30 Nm

^{2}c^{-1}ii.15 Nm2C^{-1}**300 Nm**

^{2}C^{-1}
4.The electric field in a
certain region of space is (5i+4j-4k) x 10

^{5}N/C. Calculate the electric flux due to this field over an area of (2i-j) x 10^{-2}m^{2}.**ɸ**

**=E.S = 6 x 10**

^{3}Nm^{2}C^{-1}
5. A sphere of radius 0.03m has a point charge of q =
7.6μC is located at its center. Find the electric flux

through it.

**Φ=q/**

**ɛ**

**0 = 8.6 x 10**

^{5}Nm^{2}C^{-1}
6. A point charge of 17.7μC is located at the centre of a
cube of side 0.03m. Find the electric flux through each face of the cube.

**1/6φ=1/6q/**

**ɛ**

**0 = 3.3 x 10**

^{5}Nm^{2}C^{-1}
7. 5,000 lines of force enter a certain volume of space
and three thousands lines emerged from it. What is the total charge in Coulomb
within the volume?

**-1.77 x 10**

^{-8}C
8. A spherical Gaussian surface encloses a charge
of 8.85 x 10

^{-8}C
i.
Calculate the electric flux passing
through the surface

ii. If the radius of the Gaussian surface is doubled, how
would the flux change?

**i)10**

^{4}

**Nm**

^{2}**C-1**

**ii) 10**

^{4}

**Nm**

^{2}**C**

^{-1}

9.The electric field in a
region is given by E=E0x/b i’ find the charge contained in the cubical volume
bounded by the surfaces x=0,x=a, y=0,z=0 and z=a. Take E0=5 x 10

^{3}Nc^{-1}, a=1cm and b=2cm.**φE=φL**

10.An electric field (2i + 3j )
x 103 NC

^{-1}exists in a region. Calculate the electric flux linked with a square of side 0.5m held parallel to a) y-z plane b) x-y plane.**a)24 Nm**

^{2 }**C**

^{-1}**b) 0.5 Nm**

^{2 }**C**

^{-1}