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In what region of space is the potential due to a uniformly charged sphere the same as that of a point charge? In what region does it differ from that of a point charge?

Short Answer

Expert verified

Both electric potential are similar for regions outside the sphere and differ within the sphere.

Step by step solution

01

Definition of electric potential

At any distance r from the charge, the electric potential V owing to a point charge q is-

V=kqr

where k is a coulomb's constant.

02

Final result and explanation

At distances r outside the sphere, the electric potential of a uniformly charged sphere is similar to that of a point charge; that is, for r > R ,where R is the radius of the sphere.

Inside the charged sphere, the electric potential is zero; that is for 0 < r < R .

This is the point at which the charged sphere's electric potential differs from that of a point charge.

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