A hollow conducting sphere carries a charge of -8 micro coulombs. the inner radi

Question

A hollow conducting sphere carries a charge of -8 micro coulombs. the inner radius a = 4 cm and the outer radius b = 6 cm. The potential is zero at infinity.

1.The charge is:

a. on the inner surface

b. on the outer surface

c. distibuted uniformely over the conductor

d. divided equally between the inner and outer surfaces

e. -8 micro Coulombs on the outer surface and +8 micro Coulombs on the inner surface.

2. The potential at the outer surface of the sphere is ___ V.

a. 0

b. 1,200,000

c. 6,000,000

d.-1,200,000

e. -6,000,000

3. The potential difference between the inner surface of the sphere and the outer surface is ____ V.

a. 0

b. 1,200,000

c. 6,000,000

d. -1,200,000

e. -6,000,000

4.The potential difference between the inner surface of the sphere and its center is ____ V.

a. 0

b. 1,200,000

c. 6,000,000

d. -1,200,000

e. -6,000,000

Explanation / Answer

1. charge on conductor is on outer surface.

Ans ( b)

2. V = kq / R = 9 x 10^-9 x - 8 x 10^-6 / 0.06 = -1200000 V

Ans(d)

3. electric field inside conductor is zero

so potential diff = Ed = 0

Ans(a_

4. field inside shell is also zero

so potential is same everywhere inside so diff is zero.

Ans(a)

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