Homework # 1 EE517 Fall 2000 Due August 31, 2000

Read chapter 1 in Woodson & Melcher. Browse appendix B.

Problem 1

  1. Write down Maxwell's equations in differential form (4 equations).
  2. What simplification do you make to Maxwell's equations in the magnetoquasistatic approximation? List all of the conditions that must be satisfied for the magnetoquasistatic approximation to be valid.
  3. What simplification do you make to Maxwell's equations in the electroquasistatic approximation? List all of the conditions that must be satisfied for the electroquasistatic approximation to be valid.
  4. For DC excitation, what is the terminal voltage of a magnetoquasistatic system?
  5. For DC excitation, what is the terminal current of a electroquasistatic system?
  6. Write the integral form of Maxwell's equations for the magnetoquasistatic and electroquasistatic approximations. Your goal should be to memorize both the integral and differential quasistatic approximations to Maxwells equations and understand them before the first exam. The integral forms are particularly important.

Problem 2

  1. What are the units of the electric field, what is its symbol, and is it a vector or scalar?
  2. What are the units of the magnetic flux density, what is its symbol, and is it a vector or scalar?
  3. What are the units of the charge density, what is its symbol, and is it a vector or scalar?
  4. What are the units of the current density, what is its symbol, and is it a vector or scalar?

Problem 3

Let be the sun light intensity (Poynting vector) falling on a flat solar cell incident at an angle q.

  1. Do the integral over the surface in Fig. 1 when to find the total energy incident on the solar cell. What are , and the limits of integration?
  2. Repeat the integral for
  3. Repeat part a) for the surface in Fig. 2. The radius of the surface is R = L / 2. The normal to the surface is . This integral is most easily done in polar coordinates (r, f, z). What is and the limits of integration?
  4. Find the area of the surface in part c) by setting
.

Fig. 1

Fig. 2