Problem Set 2

Due Friday, September 16, by 4pm in the homework locker

Problem 1 [5 points]

Griffiths Problem 1.42
Problem 2 [10 points]

Griffiths Problem 1.38
Problem 3 [10 points]

Consider a point charge +q located at height +d/2 on the z axis, and a point charge -q located at height -d/2 on the z axis. Find the exact electric field E(r) at a arbitrary position r.
Now imagine that the position r is very far away from the charges so that d/r << 1. Do a Taylor expansion of your exact answer in powers of d/r to get the leading non-zero term. Write your answer in terms of spherical coordinates r, θ, φ and the spherical basis vectors. Does your answer look familiar?
Problem 4 [10 points]

Griffiths Problem 2.6

*You may not use Mathematica or similar language for these problems!