Electromagnetic Theory

HW Assignments

Fall 2016

Roth/Nutter

HW 1:

Ch. 1: 3, 4, 7, 12, 15, 18, 25, 26, 28, 29

HW 2:

Ch 1: 47, 54

Ch 2: 2, 3, 5, 6

HW 3:

Ch 2: 4, 12, 15, 16, 21

Additional problem:  (Knight 28.54) An early model of the atom, proposed by Rutherford after his discovery of the atomic nucleus, had a positive point charge +Ze (the nucleus) at the center of a sphere of radius R with negative charge –Ze uniformly distributed over the volume.  Z is the atomic number, the number of protons in the nucleus and the number of electrons in the negative sphere. 

a. Show that the electric field inside this atom is E_in = Ze/4pe₀ (1/r² – r/R³).

b. What is E at the surface of the atom? Is this the expected value?  Explain.

c. A uranium atom has Z=92 and R=0.1 nm.  What is the electric field strength at r= ½ R?

HW 4: Due Oct 6 2016

Ch 2: 23, 25c, 28, 38, 43, 46

Additional Problem: (Knight 29.84) A circular disk of radius R and total charge Q has the charge distributed with surface charge density , where c is a constant. Find an expression for the electric potential at distance z on the axis of the disk. Your expression should include R and Q, but not c.

Additional Problem: (Knight 29.83) The wire in the figure below has linear charge density . What is the electric potential at the center of the semicircle?

Exam 1: 30 September, Chapters 1 & 2.

HW 5: Due 20 October 2016

Ch. 3: 3, 7, 8ab, 13, 14, 27, 29, 34

HW 6: Due 27 Oct 2016

Ch. 4: 10, 15, 18, 19, 21

Additional problems from Knight 3^rd edition

Knight Ch. 26: 65, 70, 71 (Calculating electric fields)

Knight Ch. 27: 56, 57, 58, 59 (Gauss’ Law)

Exam 2: Ch. 3-4, Nov 4

HW 7: Due Nov 18

Ch. 5: 1, 3, 4, 5, 8, 9

Additional problems from Knight 3^rd edition

Knight Ch. 28: 70, 77, 79, 81 (Calculating potential)

HW 8: Due Dec 6

Ch 5: 14, 16, 23, 41

Ch. 6: 8, 12, 16

Knight Ch. 29: 78, 80, 81 (Calculating capacitance)

HW 9: Due

Ch 7: 7, 8, 14

Final Exam: Ch. 5-7 Dec 13

Last update 18 November 2016 SLN