## neha2050 3 years ago A hollow metal sphere of radius 5 cm is charged such that the potential on its surface is 10 volts.The potential at the centre of the sphere is????????????

1. ramkrishna

10 volts.

2. ramkrishna

potential inside the hollow sphere and on the surface is constant.

3. apoorvk

kQ/r

4. ramkrishna

electric field inside the hollow sphere is zero but potential remains constant.

5. neha2050

ok thnQ SO Much @ram and apoorvk

6. neha2050

lols

7. ujjwal

i make mistakes at times.. Its electric field which is zero. the potential at centre is still equal to potential at surface

8. ramkrishna

from gauss' law we know that the field inside the hollow sphere is zero since the charge enclosed by the sphere is zero. Now, we also know that electric field is the negative gradient of potential. So, the derivative of potential is zero. and we know that the derivative of constat quantity is zero so the potential is zero inside the sphere.

9. ramkrishna
10. ramkrishna
11. ujjwal

@ramkrishna you mention ".....so the potential is zero inside the sphere."... A slight error though i know you didn't mean to write that.. view 2 ans above..

12. ramkrishna

sorry, there should be ".....so the potential is constant inside the sphere........." Thanks. @ujjwal for correction.

13. hosein

Hi hence sphere is conductor so voltage of sphere( whole of sphere) is same to surface of that