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Why is Electrostatic Potential Constant Throughout the Volume of the Conductor and Has the Same Value (As Inside) on Its Surface?

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Question

Why is electrostatic potential constant throughout the volume of the conductor and has the same value (as inside) on its surface?

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Solution

We know that the electric field inside a conductor is zero, so E = 0. This is the reason why

Electrostatic potential is constant, as `E = - (dV)/(dr)`

So, if E = 0

`(dV)/(dr) = 0`

Thus, V = constant

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2011-2012 (March) Delhi set 3

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