1. Answer questions 1, 2, and 3 in exam book # 1.

Answer questions 4, 5, and 6 in exam book # 2.

2. Each question is worth 20 points: Yes, your algebra is correct, and the total points you can score is 120 (a 20 point bonus if you answer all 6 questions).

3. Each answer needs to be well motivated. You will not receive any credit for just the answer (even if it is correct) if no motivation is provided.

4. Here are some useful relations:

The general solution of the following differential equation

is

where *a* is a constant.

5. The grades will be distributed via email on or before 12/24.

6. Have a good and save holiday, and best wishes for 2002.

7. All complaints/comments/questions about the exam and the course should be directed to the instructor.

5. The grades will be distributed via email on or before 12/24.

6. Have a good and save holiday, and best wishes for 2002.

7. All complaints/comments/questions about the exam and the course should be directed to the instructor.

Find the force on the charge +

Express your answer in terms of *d* and *q*. Make sure you
specify both the magnitude and the direction of the force.

Consider an infinitely long straight wire of radius

a) What is the magnetic field

b) Find the vector potential

c) Show that your solution in part b) is correct by verifying that

d) Show that your solution in part b) is correct by verifying that

Express all your answers in terms of

The electrostatic potential of some charge configuration is given by the expression

where *A* and *λ* are constants.

a) Find the electric field_{}.

b) Find the charge density_{}.

c) Find the total charge*Q*.

Express all your answers in terms of*A*
and *λ*.

a) Find the electric field

b) Find the charge density

c) Find the total charge

Express all your answers in terms of

A point charge

- Find the electric field
_{}inside the sphere (*r*<*R*).

b) Find the polarization

c) Find the bound volume and surface charge densities

d) What is the total bound surface charge on the surface of the sphere?

e) Where is the opposing bound volume charge located?

Express all your answers in terms of

A certain transmission line in constructed from two thin metal “ribbons” of width

a) Find the capacitance per unit length

b) Find the inductance per unit length

c) What is the product of

d) If the strips are insulated from one another by a non-conducting material of permittivity

Express your answers in terms of

An infinitely long cylinder, of radius

where *k* is a constant and *r* is the distance from the axis
(there is no free current anywhere). Find the magnetic field inside and outside
the cylinder by two different methods:

a) Locate all the bound currents, and calculate the field they produce.

b) Use Ampere's law to find_{},
and then get
_{}.

Express you answers in terms of*k* and *R*.

a) Locate all the bound currents, and calculate the field they produce.

b) Use Ampere's law to find

Express you answers in terms of