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Equipotential Surfaces
Equipotential Surfaces
25. Electric Potential / Equipotential Surfaces / Problem 1

A solid copper ball of radius ri and carrying charge -q is placed inside a hollowed silver sphere of radius ro and charge +q. Insulators are used to hold the copper sphere in place inside the silver sphere. Use E(r) = -∂V/∂r = (-∂/∂r)(kq/r) = kq/r2 and the expression for electric potential between the two spheres (take electric potential to be zero at infinity) to derive an expression for the electric field magnitude between the two spheres. Express E(r) you derived using Vio, the potential of the copper ball relative to the silver shell.

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