Question

2. Spherical Dipole - The surface charge density on a sphere of radius R is constant, +0, on the entire northern hemisphere, and-oo on the entire southern hemisphere. There are no other charges present inside or outside the sphere. (a) (4 pts) Compute the dipole moment of that sphere (with the +z-axis up through the pole of the positive, +Oo, hemisphere). Use the definition of a dipole moment, p-Jr, (7)dr', which in this case becomes p:-:J20(7)dA. Write your final answer for the dipole moment in terms of the charge Q on the upper hemisphere. (b) (4 pts) Using your expression for p, write an approximate expression for the potential V(r,0) and the Electric Field E(r,0) for large r. "Approximate" means only the first non-zero term is needed.)

Answer 1

Cose do 灰 乙

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