A charge Q is kept in front of a neutral metallic sphere,find the electric field at the centre of the sphere due to induced charges on the surface of the sphere.

Let us consider Gaussian surface of radius d from the centreof of the sphere.According to Gauss's law         E×4πd2=qε0or             E=q4πε0d2Thus the electric field at point O along x-axis=Ex =Ei^=q4πε0d2i^.The correct option is 1 q4πε0d2i^.

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