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Question: If a charged spherical conductor of radius 10 cm has potential V at a point distant 5 cm from its ce...

If a charged spherical conductor of radius 10 cm has potential V at a point distant 5 cm from its centre, then the potential at a point distance 15 cm from the centre will be

A

3 V

B

C

D

Answer

Explanation

Solution

: The potential at any point inside a charged conductor is same as on its surface,

V=q4πε0r=q4πε0×10\mathrm { V } = \frac { \mathrm { q } } { 4 \pi \varepsilon _ { 0 } \mathrm { r } } = \frac { \mathrm { q } } { 4 \pi \varepsilon _ { 0 } \times 10 } (r = 10 m) …(i)

At

(using (i))