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A positive charge +Q is distributed uniformly throughout the volume of an insulating sphere with radius...

A positive charge +Q is distributed uniformly throughout the volume of an insulating sphere with radius R. Find the electric potential V at a point P a distance r from the center of the sphere. Plot the electric potential V vs. the distance r from the center of the sphere for 0 < r < 2R

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Answer #1

Here, applying Gauss Law

=> E * A = Q/eo

=> electric field at distance ,r = kQr/R3

Thus,   electric potential at distance ,r =  

                                                            = (kQ/2R) * (3 - r2/R2)

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