Figure shows a charged conductor resting on an insulating stand. If at the point P the charge density is , the potential is V and the electric field strength is E, what are the values of these quantities at point Q
As we learned
Surface charge distribution -
charge per unit Area
- wherein
(Plane sheet, sphere, cylinder etc)
The surface of the conductor is an equipotential surface since there is free flow of electrons within the conductor. Thus potential at Q is the same as that at P. That is The electric field E at a point on the equipotential surface of the conductor is inversely proportional to the square of the radius of curvature r at that point. That is Since point Q has a larger radius of curvature than that at point P, the electric field at Q is less than that at P. That is
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