A point charge having a charge of +1 μC, is placed at a distance of 2 m from the surface of a conducting sphere of radius 3m. Find the potential (in V) due to charges induced on sphere at the point where the tangent to the sphere drawn from the point charge touches the sphere.
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answer is -450.
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Detailed Solution
Potential at centre (c) of sphere and all other points (p) on sphere is same.Vc, q + q ind=Vp, q + q ind⇒kq5=Vp, q+Vp, q ind⇒kq5= kq4+Vp, q ind⇒Vp, q ind=kq15−14⇒Vp, q ind= −9×109×10−6×120=− 450 V