Homework 9

Math 5.82, 5.83 E&M 4.5, 4.7, 4.9, 4.12, 4.15, 6.2

9) Use the result from math problem 5.83 to evaluate ∇²B for the case of static fields.

10) The figure below shows a toroidal (doughnut shaped) coil with a square cross-section. It has N turns each carrying a current I. Find
a) the azimuthal field along paths a and c (that is the field that points along the paths)
b) the B field inside the toroid, and
c) the line integral ∫B•dl round path d.