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Practice Midterm Exam - Electromagnetism | PHYS 323, Exams of Electromagnetism and Electromagnetic Fields Theory

University of Washington (UW) - SeattleElectromagnetism and Electromagnetic Fields Theory
Prof. David Cobden

Material Type: Exam; Professor: Cobden; Class: ELECTROMAGNETISM; Subject: Physics; University: University of Washington - Seattle; Term: Spring 2007;

Typology: Exams

Pre 2010

Uploaded on 03/18/2009

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Page 1 Name _______________________________
Electrodynamics, Physics 323 First midterm 8.20 am, Friday May 4, 2007
Spring 2007 Instructor: David Cobden
Do not turn this page until the buzzer goes at 8.20. You must hand your exam to me before I leave the
room at 9.25.
Attempt all the questions.
Please write your name on every page and your SID on the first page.
Write all your working on these question sheets. Use this front page for extra working. It is important
to show your calculation or derivation. Some of the marks are given for showing clear and accurate
working and reasoning.
Watch the blackboard for corrections or clarifications during the exam.
This is a closed book exam. No books, notes or calculators allowed.
pf3
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Download Practice Midterm Exam - Electromagnetism | PHYS 323 and more Exams Electromagnetism and Electromagnetic Fields Theory in PDF only on Docsity!

Electrodynamics, Physics 323 First midterm 8.20 am, Friday May 4, 2007 Spring 2007 Instructor: David Cobden

Do not turn this page until the buzzer goes at 8.20. You must hand your exam to me before I leave the room at 9.25.

Attempt all the questions.

Please write your name on every page and your SID on the first page.

Write all your working on these question sheets. Use this front page for extra working. It is important to show your calculation or derivation. Some of the marks are given for showing clear and accurate working and reasoning.

Watch the blackboard for corrections or clarifications during the exam.

This is a closed book exam. No books, notes or calculators allowed.

  1. [10] State Maxwell’s equations in vacuum.
  2. [10] For a monochromatic plane wave, show that E , B and k are mutually perpendicular.
  3. [3] A certain laser beam can be treated as a monochromatic plane wave with k = k ˆ z and electric field amplitude E 0 (^) = E ( x ˆ^ + 2 i y ˆ). What kind of polarization is this?
  4. [12] The laser is reflected normally from a perfectly conducting surface. Find the average momentum density in the incident wave and hence the pressure exerted on the surface.
  1. [10] By dimensional analysis, or otherwise, find the form of the relationship between the square of the plasma frequency ωp^2 and the electron concentration N , the charge e = 1.6 × 10 -19^ C, the electron

mass m = 10 -30^ kg, and ε 0 ≈ 10 -11^ Fm-^.

  1. [10] The ionosphere carries a free electron density N ≈ 1011 m-3^. Estimate the shortest wavelength of radio waves that can be channeled around the earth by reflection from the ionosphere.
  2. [12] By considering the E and B fields, determine what distribution of charge and/or current generates the following potentials in cylindrical coordinates :

0 ˆ ln(^ /^ ) ˆ 2

I r b Q t r

z r A , V = Q ln( r / a ).