An electricity and magnetism problem by Soumyadip Bijuli
A point charge is placed at a distance of from the centre of a conducting charged sphere of radius . Due to the induced charges on the sphere, find the electric potential at a point on the surface of sphere
Take .
The answer is 3.
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1 solution
First consider potential at O Here due to charge q potential is kq/2r=18 To maintain the neutrality of sphere. -q will get induced on the part Of sphere near the charge and q will get induced in the opposite part. But as all induced charges on sphere are equidistant from centre their potential will get summed to 0. Now as this is a conducting sphere pot at 0=pot at P. Not pot at P=pot due to induced charges+ kq/3r Hence we get kq/2r=pot induced+kq/3r ie. 9=pot induced +6 Hence potential at P due to induced charges is 3