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Surface Integral

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What is the electric field at a point P(at dis†an ce 3r from centre) due to induced charge on the outer surface of a conducting sphere if a charge q is kept inside the sphere ^{}at r/2 from the centre.(r is radius of sphere)

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Q. A point charge q is placed at a distance 2r from the centre o of a conducting charged sphere of radius r. due to the induced charges on the sphere, find the electric potential at point p on the surface of sphere (in volt) (if kq/r = 18 volt).

Q. Assertion :A point charge

q

is placed in front of a solid conducting sphere. Electric field due to induced charges at the centre of sphere is zero. Reason: Electric field at point inside the solid body of conductor is zero.

Q. A charge Q is placed at the centre of an uncharged, hollow metallic sphere of radius a. (a) Find the surface. (b) If a charge q is put on the sphere, what would be the surface charge densities on the inner and outer surfaces? (c) Find the electric field inside the sphere at a distance x from the centre in the situations (a) and (b).

Q. The electric potential at a point

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inside a uniformly charged conducting sphere of radius

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Q. A hollow conducting sphere of radius R has a charge (+Q) on its surface. What is the electric potential within the sphere at a distance

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