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
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
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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
(
)
wave equations
2
1 E
1 B
2
2
E 2 2 = 0, B 2 2 = 0