(a) Using the law of cosines, show that Eq. 3.17 can be written as follows: V(r, 0) = 9 4лEо √²+ a²- 2ra cos ²+a². 0 9 R² + (ra/R)²-2ra cos (3.19) where r and are the usual spherical polar coordinates, with the z axis along the line through q. In this form, it is obvious that V = 0 on the sphere, r = R. (b) Find the induced surface charge on the sphere, as a function of 0. Integrate this to get the total induced charge. (What should it be?) (c) Calculate the energy of this configuration.

Match the following terminologies with their definition: (a) Slight attraction to magnetic field. (b) Represented by concentric circles Diamagnetism Paramagnetism Ferromagnetism Magnetic Moment Magnetic Field Lines Magnetic Materials (c) Produced by electrons in association with its orbital and spinning (d) Slight repulsion to magnetic field • (e) Stronglý attracted to a magnetic field + (1) Individual magnetic moments respond to an external magnetic field