PHY 506
Classical Electrodynamics II
Spring 2011
Homework 1 with solutions
Problem 1.1 (to be graded of 25 points). A monochromatic, plane EM wave is normally incident from
free space on a uniform slab of a material with electric permittivity and magnetic
PHY 506
Classical Electrodynamics II
Spring 2011
Optional Problems Set 1 with solutions
Problem O.1. Modify the results of Homework Problem 2.1 (ii) for a superconductor microstrip line,
taking into account the London depth of magnetic field penetration i
PHY 506
Classical Electrodynamics II
Spring 2011
Midterm exam with solutions
Problem M.1 (to be graded of 200 points). Find the lumped ac circuit equivalent to a TEM transmission
line of length l ~ , with small cross-section area A <2, as seen (measured)
Classical Electrodynamics II
PHY 506
Spring 2011
Final Exam with solutions
Problem F.1 (to be graded of 200 points). Use the Born approximation to calculate the differential
cross-section of scattering of a plane wave normally incident on a very thin, rou
PHY 506
Classical Electrodynamics II
Spring 2011
Homework 9 with solutions
Problem 9.1 (10 points). Analyze the polarization of the EM radiation of a linearly accelerated
relativistic particle.
Solution: Let us consider the expression for the electric fie
PHY 506
Classical Electrodynamics II
Spring 2011
Homework 8 with solutions
Problem 8.1 (10 points). A charged, relativistic particle has been injected into a uniform electric field
which oscillates in time with frequency . Calculate the time dependence of
Classical Electrodynamics II
PHY 506
Spring 2011
Homework 7 with solutions
Problem 7.1 (10 points). Prove that the following quantities: (i) E2 c2B2, and (ii) EB are Lorentzinvariant.
Solution: Both facts can be proved by writing these expressions in Cart
Classical Electrodynamics II
PHY 506
Spring 2011
Homework 6 with solutions
Problem 6.1 (10 points). Photon with wavelength is scattered by an electron, initially at rest.
Considering the photon as an ultrarelativistic particle (with the rest mass m = 0),
Classical Electrodynamics II
PHY 506
Spring 2011
Homework 5 with solutions
Problem 5.1 (25 points). Use the Born approximation to calculate the differential cross-section of plane
wave scattering by a dielectric sphere with 0, of an arbitrary radius R. In
Classical Electrodynamics II
PHY 506
Spring 2011
Homework 4 with solutions
Problem 4.1 (to be graded of 15 points). Calculate the skin-effect contribution to the attenuation
coefficient defined by equation (7.196) of the lecture notes, for the basic (H10)
Classical Electrodynamics II
PHY 506
Spring 2011
Homework 3 with solutions
Problem 3.1 (to be graded of 20 points). Use the recipe outlined in Sec. 7.8 of the lecture notes to derive
the characteristic equation (7.157),
'
'
'
'
2
2
2
2
k J n k K n 1 J n
Classical Electrodynamics II
PHY 506
Spring 2011
Homework 2 with solutions
Problem 2.1 (to be graded of 25 points). Calculate impedance ZW of long, straight TEM transmission
lines formed by metallic electrodes with the cross-sections shown in Fig. below:
Classical Electrodynamics II
PHY 506
Spring 2011
Optional Problems Set 2 with solutions
Problem O.8. What lumped ac circuit is equivalent to the system shown in Fig. 7.19b of the lecture
notes, with monochromatic incident wave of power Pi? Assume that the