EAD 234A: E&M Homework #7 Due Thursday, March 4, 2010
1. A capacitor consists of two circular conducting plates of radius a and separation d connected to the centers of the plates insert and remove a current I = I 0 cos t . (a) What are the directions of

EAD 234A: E&M Homework #8 Due Thursday, March 11, 2010
1. A linearly polarized electromagnetic plane wave with frequency is normally incident from vacuum onto an excellent conductor with permittivity c = 0, permeability c = 0, and conductivity . (a) Compu

() : Electrodynamics (II) (PHYS 532) Department of Physics, National Tsing Hua University, Taiwan Kwo Ray Chu, Rm. 713, Tel. 4-2525, [email protected] Spring Semester, 2008 1.Textbook and Contents of the Course: J. D. Jackson, Classical Electrodynam

NAME: EAD 234A: E&M Midterm Thursday, 2/11/2010
Note:(1)YoumayuseJacksonandadictionary,butcalculatorsandlecturenotes areNOTallowed. (2) You may use any equation in Jackson without derivation unless you are specifically asked to deriveit.
(1) A uniform l

EAD 234A: E&M Homework #6 Due Thursday, February 25, 2010
1. Consider a gas comprised of (quasi) independent spin moments ms (randomly oriented at B = 0) at temperature T. You wish to calculate the their alignment in the presence of an (applied magnetic f

EAD 234A: E&M Homework #5 Due Thursday, February 18, 2010
1. A filamentary current loop traverses eight edges of a cube with side length 2b as shown below. (a) Find the magnetic dipole moment m of this structure. (b) Do you expect a negligible or a non-ne

EAD 234A: E&M Homework #4 Due Thursday, February 4, 2010
1. A thin insulating rod, running from z = -a to z = +a, carries the following line charges: z (a) = 0 cos 2a z (b) = 0 sin 2a z (c) = 0 cos a In each case, find the leading term in the multipole ex

EAD 234A: E&M Homework #3 Due Thursday, January 28, 2010
1. Use the method of images to find the Greens function of the system shown in the figure below. (The bulge on the conducting plane has the shape of a semi-sphere of radius R.)
2. Find the 2D Greens

EAD 234A: E&M Homework #2 Due Thursday, January 21, 2010
1. Find an approximate expression for the mutual capacitance (per unit length) between two thin, parallel wires, each with a round cross-section, but its own diameter. The figure below illustrates t

EAD 234A: E&M Homework #1 Due Thursday, January 14, 2005
1. Use Gauss' law to find the electric field when the charge density is:
cfw_ (b) ( x, y ) = exp cfw_ x + y Express the answer in cylindrical coordinates (c) ( x, y, z ) = exp cfw_ x + y + z Expre

Amperes Law d l 2 (d l 1 aR12 ) 0 I1 I 2 F 12 = 2 C 4 C2 1 R12 Magnetic Flux Density 0 (I1d l 1 aR12 ) F 12 = I 2 d l 2 2 R12 4 C1 C2
= I 2 d l 2 B12
C2
I
d F = Id l B
Biot and Savart Law
F = ( J B ) dr
0 J r B= dr r3 4
0 I d l R B(r ) = 3 4 R C
Linear Pi

Chapter 7: Plane Electromagnetic Waves and Wave Propagation
An Historical Perspective: FaradayTime-varying magnetic field generates electric field. MaxwellTime-varying electric field generates magnetic field.
Hertz discovered radio waves; Einstein's speci

Chapter 6: Maxwell Equations, Macroscopic Electromagnetism, Conservation Laws 6.1 Mawells Displacement Current; Maxwell Equations
The Displacement Current : So far, we have the following set of laws : B D = , H = J , E = t , and B = 0 Taking the divergenc

Chapter 5: Magnetostatics, Faradays Law, Quasi-Static Fields 5.1 Introduction and Definitions
We begin with the law of conservation of charge: Q Jd 3 x = J da = t = t v d 3 x v
J + t = 0 conservation of charge
, J
da
B
(5.2)
arbitrary volume
= 0 and (

CHAPTER 4: Multipoles, Electrostatics of Macroscopic Media, Dielectrics 4.1 Multipole Expansion
( x) =
| x x | 4 0
1
(x)
d 3 x
0
x
x
(1.17)
In Ch. 3, we developed various methods of expansion for the solution of the Poisson equation. In this chapter, w

Chapter 3: Boundary-Value Problems in Electrostatics: II
We begin this chapter with 3 sections (Secs. 3.2, 3.5, & 3.6) on mathematics.
3.2 Legendre Equation and Legendre Polynomials
Legendre Equation : d 1 x 2 du + ( + 1) u = 0, 1 x 1 dx dx The solutions

CHAPTER 2: Boundary-Value Problems in Electrostatics: I 2.1 Method of Images
The method of images is not a general method. It works for some problems with a simple geometry. Consider a point charge q located in front of an infinite and grounded plane cond

() : Electrodynamics (I) (PHYS 531 ) Department of Physics, National Tsing Hua University, Taiwan Kwo Ray Chu, Rm. 713, Tel. 4-2525, [email protected] Fall Semester, 2008
1.Textbook and Contents of the Course: J. D. Jackson, Classical Electrodynamic

CHAPTER 2
Special Theory of Relativity 3
2.1 The Need for Aether 2.2 The Michelson-Morley Experiment 2.3 Einsteins Postulates 2.4 The Lorentz Transformation 2.5 Time Dilation and Length Contraction 2.6 Addition of Velocities 2.7 Experimental Verification

CHAPTER 2
Special Theory of Relativity 2
2.1 The Need for Aether 2.2 The Michelson-Morley Experiment 2.3 Einsteins Postulates 2.4 The Lorentz Transformation 2.5 Time Dilation and Length Contraction 2.6 Addition of Velocities 2.7 Experimental Verification

CHAPTER 2
Special Theory of Relativity 1
2.1 The Need for Aether 2.2 The Michelson-Morley Experiment 2.3 Einsteins Postulates 2.4 The Lorentz Transformation 2.5 Time Dilation and Length Contraction 2.6 Addition of Velocities 2.7 Experimental Verification

Chapter 14: Radiation by Moving Charges
converted to Gaussian unit system, Review of Basic Equations : see p.782 for conversion formulae. 2 1 2 = 4 (6.15) 2 free-space inhomogeneous t 2 c 2 2 wave equations (6.16) A 12 2 A = 4c J c t general form of 2 1 2

Chapter 11: Special Theory of Relativity
(Ref.: Marion & Heald, Classical Electromagnetic Radiation, 3rd ed., Ch. 14) Einsteins special theory of relativity is based on two postulates: 1. Laws of physics are invariant in form in all Lorentz frames (In rel

Chapter 10: Scattering and Diffraction 10.1 Scattering at Long Wavelength
Differential Scattering Cross Section : Consider a plane wave n0 n Einc = 0 E0eikn0 x Assume free space. Einc E (10.1) sc H inc = n 0 Einc Z 0 Z0 0 / 0 H Hsc inc incident onto an ob

Chapter 9: Radiating Systems, Multipole Fields and Radiation
An Overview of Chapters on EM Waves : (covered in this course) source term in wave equation boundary Ch. 7 none plane wave in space or in two semi- spaces separated by the x - y plane Ch. 8 none

EAD 234B: E&M Homework #6 Due Thursday, May 20, 2010
(1) Consider a thin circular plate of radius a with a total charge q homogeneously distributed over its surface. The plate is rotating with angular frequency around an axis through its diameter. Calcula

EAD 234B: E&M Homework #5 Due Thursday, May 13, 2010
(1) Consider the long wire shown below. (a) Find the potentials and the fields produced by a current I(t) = I0(t) that turns on abruptly at t = 0 in a neutral, filamentary wire coincident with the entir