Problem Set 2, PHYS 481
1. A voltage V(t)=V0 sin t is applied between the plates of a circular capacitor filled
with a conductor, of conductivity , satisfying Ohms law. The radius R of the plates
is very l
Problem Set 8 , PHYS 481
1. X-rays, which strike a metal surface at greater than critical angle, c, are totally
reflected. Assuming that a metal contains n free electrons per unit volume, calculate
c as a f
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Problem Set 5, PHYS 481
1. A plane wave travels in the z-direction and is polarized with its E vector in the x-
direction. The average energy flux, intensity I, of the wave is 7 mW/m2 and its
frequency is 1
Problem Set 10, PHYS 481
1. A particle of charge q moves in a circle of radius a at constant velocity . Assume
that the circle lies in the xy plane, centered at the origin, and at time t=0 the charge
is
Problem Set 1, PHYS 481
1. A metal rod of mass m slides without friction on two long parallel conducting rails
a distance L apart (see Fig. 7.17 in the text or the diagram in the second summary
sheet). A
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Problem Set 9, PHYS 481
1. Find electric and magnetic fields produced by a point charge moving with
constant velocity v = vz by directly solving wave equations for V and A in the
Lorentz gauge (cf. summary
9. Angular momentum & wave equation
angular momentum & conservation of the
electromagnetic field and mechanical angular momentum
lem = r g, g = 0 E B = 0 0S,
dL em
L em = d lem ,
=N = r F
dt
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wave equations
2
1 E
1 B
2
2
E 2 2 = 0, B 2 2 = 0
Problem Set 6, PHYS 481
1. Solve the reflection and transmission problem for the s-polarized plane wave (E-
field is normal to the plane of incidence). This is problem 9.17 (4th edition) or 9.16
(3rd edition) from the text. Answer all specific questi
Problem Set 7, PHYS 481
1. (a) X-rays, which strike a metal surface at greater than critical angle, qc, are totally
reflected. Assume that a metal contains n free electrons per unit volume and the
conductivity can be approximated as =ie2n/m. Calculat
Problem Set 3, PHYS 481
1. How do the normal and tangential components of the Poynting vector in matter,
S=E H, behave at an interface between two simple media where no free current
flows (but either free charge or polarization charge is present at t
Problem Set 5, PHYS 481
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1. A plane wave travels in the z-direction and is polarized with its E vector in the xdirection. The average energy flux, intensity I, of the wave is 7 mW/m2 and its
frequency is 100 MHz.
Find the root-mean-square (rms) el
Problem Set 2, PHYS 481
1. Consider a closed circuit of wire formed into a coil of N turns with radius a,
resistance R, and self-inductance L. The coil rotates in a uniform magnetic field B
about a diameter perpendicular to the field.
(a) Find the c