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Homework
Problem solving:
The problems are the most important element of this
course. You already have seen MaxwellÕs equations, but you have not solved many
realistic, 3-dimensional problems. In fact, most of the solutions youÕve done so
far applied to highly symmetrical situations where you could use the integral
forms of the laws.
More powerful methods of solution depend on the
differential form of MaxwellÕs equations. As differential equations, the fields
depend on four variables, (x, y, z, t), and satisfy eight coupled linear
equations. A great simplification occurs because of the linearity: we can build
up solutions by superposition. The sums may become infinite, taking us into the
realm of complete sets of functions, but at least we can get general solutions.
The methods you learn here for solving differential
equations are important in every area of physics.
These tools will allow us to go deeper into our
discussion of electrostatics and magnetostatics.
Reading:
Keep up with the reading. If I assign problems covering certain material in the text, read all of
the text up to and including that topic.
Assignments:
|
Chapter/Assignment number |
Problems |
Due date |
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Ch 1 |
See exercises included in Notes |
Sept. 3, 2015 |
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Ch 1 |
Griffiths:
Chapter 1, problems: 15, 18, 25 |
Sept. 8, 2015 |
|
Ch 1 |
See exercises included in Notes |
Sept. 15, 2015 |
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Ch 1 |
See exercises included in Notes |
Sept. 17, 2015 |
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Ch 2 |
See exercises included in Notes |
Sept. 24, 2015 |
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Ch 2 |
See exercises included in Notes |
Sept. 29, 2015 |
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Ch 2 |
See exercises included in Notes
(Electrostatics III and IV) |
Oct. 8, 2015 |
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Ch 3 |
See exercises included in Notes
(Method of images) |
Oct. 29, 2015 |
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Ch 3 |
See exercises included in Notes
(Cartesian separation) |
Nov. 12, 2015 |
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Ch 3 |
See exercises included in Notes
(Spherical separation) |
Nov. 17, 2015 |
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Ch 3 |
See exercises included in Notes
(Multipole expansion) |
Nov. 19, 2015 |
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Ch 4 |
See exercises included in Notes
(Fields in matter) |
Dec. 3, 2015 |
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Ch 5 |
See exercises included in Notes
(Magnetostatics) |
11:30 Dec. 15, 2015 |
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Final Exam |
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11:30 Dec 15,
2015 |
W3.1:
Separate the Laplace equation in cylindrical coordinates to find the
differential equations for three functions. Solve any of the three equations
you can, but donÕt worry about the radial one if you donÕt know the relevant
techniques.
*Earlier if you want it
graded before the exam. Contact Joseph for how soon he needs it to get it back
to you
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