HW-7
P(r ) kr , where k is a constant.
1. A sphere of radius R carries a polarization
(a) Calculate the bound charge b and b.
(b) Find the field inside and outside the sphere.
Solution:
(a) At the surface of the sphere ,
b P n kR R k R .
Within the spher
HW-10
7.3
1. (a) Two metal objects are embedded in weakly conducting material of conductivity . Show
that the resistance between them is related to the capacitance of the arrangement by
R
0
C
(b) Suppose you connected a battery between the two conductors
HW-8 1. Find the magnetic field at point P for each of the following steady current configurations.
2. Find the force on a square loop and a triangle near in infinite straight wire.
J Jx . 3. A thick slab extending from z=-a to z=+a carries a uniform vol
HW-7
P(r ) kr , where k is a constant.
1. A sphere of radius R carries a polarization
(a) Calculate the bound charge b and b.
(b) Find the field inside and outside the sphere.
2. The space between the plate a parallel-plate capacitor is filled with two sl
HW-6 1. A rectangular pipe, running parallel to the z axis (from - to +), has three ground metal sides at y=0, y=a, and x=0. The fourth side, at x=b, is maintained at a specific potential V0(y). (a) Develop a general formula for the potential within the p
HW-2
1. (a) Let F1 x 2 z and F2 xx yy zz . Calculate the divergence of and curl of F1 and
F2 Which one can be written as the gradient of a scalar? Find a scalar that does the
job. Which one can be written as a curl of a vector? Find a suitable vector pote