Assignment VI
Posted on April 2nd , Due on April 13th
1. Problem 6.8 (page 265)
2. Problem 6.10 (page 266)
3. Derive the force on a magnetic dipole F = (m B )
4. Problem 6.22 (page 282)
Assignment V
Posted on 21st March, Due on 30th March
1). Start from Biot-Savart law B( r ) = 0
4
steady current.
J '
dV , Prove B = 0 and B = 0 J at
2
2). Find the density of mobile charges in a piece of copper, assuming each atom
contributes one free ele
Assignment 4
Posted on 27 February, Due on 9th March.
th
1. A spherical shell with potential (r=R)=V0cos. (a) Please solve the potential inside
and outside the shell. (30points)
(b) if there is a point charge at the center and the potential of the shell k
Assignment 3
Posted on Feb 13th, Due on February 24th.
1. A point charge q is located at a distance d from the center of a grounded conducting
sphere with a radius a. Find
(a) the potential and electric field of all the space
(b) the surface charge on the
Home Work II
Posted on 3rd February , Due on 10th February.
1). Prove that the electric field is always perpendicular to equal potential surface
2). A line (A-B-C-D) with uniform charge density is shown in the following figure.
Calculate the electric fiel
Homework I
Posted on 18th January, Due on 3rd, Feb
1). Let be the separation vector from a fixed point (x,y,z) to the point (x,y,z), and
let be its length. Show that
(a) (2 ) = 2
(b) (1 / ) = / 2
What is the general formula for (n )
2). Prove that the d
Sect. 1.13
Relaxation Method for Two-Dimensional Electrostatic Problems
47
not respect the vanishing slope at p = O.Nonetheless, it gives 1['1'l]min= -1.5136,
which is somewhat, but not greatly, worse than '1'2(5.5% error). The insensitivity
of 1['1'] to
Assignment VII
Posted on April 16 , Due on April 27th
th
1. Problem 7.3 on page 290 of Griffiths.
2. Problem 7.25 on page 316.
3. Staring with the Maxwell equations in terms of E and B, derive the Maxwell equations
in matter.