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

see the equation V=1/4piepsilonzero*q/r

here every term except r is constant..for any point on a suraface for eg;spherical surface r that is radius remains same..so it remains constant

  • 11

 as electric field inside the conductor is zero so there is no work done in moving a small test charge within the conductor.therefore there is no potential difference between any two points inside the conductor that is electrostatic potential is constant throughout the volume of the conductor.

  • 62
E=-dV/dr

Where E is the electric field and v is the potential and r is the distance.

Since inside a conductor the E field is zero.

=>0=-dV/dr

=>dV=0 i.e the change in potential inside the conductor is a constant.

And this value is k Q/r where k is the constant and Q is the Charge on the surface of the conductor.

And r is the radius.
  • 13
What are you looking for?