Rutgers Physics 385 Electromagnetism I (Fall'15/Gershtein)
Homework 1 - Due September 10, 2015 in class
"Griffiths" refers to the textbook Introduction to Electrodynamics,
Edition, by David J. Griffiths
1) Do the integral
2) Griffiths, Problem 2.2:
Find the electric field (magnitude and direction) a distance z above the midpoint between equal and opposite charges (+q and -q),
a distance d apart.
Also do the case for z=0.
3) Griffiths, Problem 2.5:
Find the electric field a distance z above a center of a circular loop of radius r that carries a uniform line charge λ
Express the answer in terms of the total charge on the ring and do
the cases for very small and large z. How do they compare to the
inverse-square law? Why?
4) Griffiths, Problem 2.7:
Find the electric field a distance z from the center of a spherical surface of radius R that carries a uniform charge density σ .
Treat the case z < R (inside) as well as z > R (outside). Express your answer in terms of total charge q on the sphere.
This can be done many ways, but see if you can use the results of your solution of 2.5