Question

A hollow metal sphere is charged with 0.4uC of charge and has a radius of 0.1m.
Find the potential (i) at the surface (ii) inside the sphere (iii) at a distance of
0.6m from the centre. The sphere is placed in air.
1) 37kV, 36kV, 6kV
2) 36kV, 36,LV, 7kV
3) 37kV, 37kV, 7kV
4) 36kV, 36kV,6kV​

Answer 1

Answer:

good morning my dear friend

Answer 2

Given info : A hollow metal sphere is charged with 0.4μC of charge and has a radius of 0.1m.

To find : The potential

1. at the surface
2. inside the surface
3. at a distance of 0.6 m from the centre.

solution : the potential of sphere at the surface is equal to the potential inside the surface of hollow metallic sphere.

and that is V = kq/r

= (9 × 10^9 × 0.4 × 10^-6)/(0.1)

= 3.6 × 10⁴ V

= 36 kV

therefore answers of (i) and (ii) are same and that is 36 kV.

now potential at a distance 0.6 m from the centre of sphere = kq/R

= (9 × 10^9 × 0.4 × 10^-6)/(0.6)

= 0.6 × 10⁴ V

= 6 kV

therefore answer of (iii) is 6kV

Therefore the correct option is (1) 36kV, 36kV, 6kV