A conducting shell has inner radius R and outer radius 2R. A charge + q is given to the spherical shell. (a) Find the electric field at a point which is at a distance x from the centre of the shell. Give your answer for three cases (i) x lt R (ii) R lt x lt 2R (iii) x gt 2R (b) Find the electric potential in all the three cases mentioned in (a) (c) Find field and potential in all the three cases mentioned in (a) after a point charge – q is introduced at the centre of the shell. (d) Write the electrical potential energy of the system consisting of the shell and the point charge at its centre. (e) Find the electrostatic force that the shell exerts on the point charge. (f) Now, another point charge + q is placed at a distance 4R from the centre of the shell. Find electric field and potential in following cases. (i) x lt R (ii) R lt x lt 2R

Answer

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