This preview shows page 1. Sign up to view the full content.
Unformatted text preview: const
so that, in the coaxial plane, they are straight lines. Since they cannot be straight lines in
the original plane (since the circles they cross are not concentric) they have to be arcs of
Exercise Set 10
1. Find the potential, equipotential, and lines of force for the following situation. Also
find a three-dimensional field corresponding to an appropriate three-dimension version of
The disc has radius 5
[Suggestion: First shrink the radius. Then use z to go to a simpler region. Follow by
something we have already done...]
2. Repeat the first question for the following situation:
[Suggestion: The given region is, with a slight scale adjustment, the image of nice region
under the sine function.]
11. Heat Problems (Still from Kreyzsig)
Heat conduction in a homogeneous material is governed by
where T = temperature, and c is a positive constant that varies from material to material.
When the temperature stops changing, we have steady state, and
Ô T = 0 = Txx + Tyy...
View Full Document