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A solid conducting sphere of radius R is...

A solid conducting sphere of radius R is placed in a uniform electric field E as showo in figure. Due to electric field non uniform surface charges are induced on the surface of the sphere. Consider a point A on the surface of sphere at a polar angle `theta` from the direction of electric field as shown in figure. Find the surface density of induced charges at point A in terms of electric field and polar angle `theta` : lt brgt

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The correct Answer is:
`[3 in_(0)Ecostheta]`
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