P114
PROBLEM SET 8
Spring 2007
Homework to be handed in by 1700 hours on
27 March 2007
.
[1] A plane parallel plate capacitor with circular plates of radius 1 meter and separation 1 mm is being charged
w
ithacurrento
f1amp
.
(a) Show that the total displacement current between
the plates is 1 amp.
(b) Derive the magnitude and direction of the
B
f
eld
between the plates at a radius of 0.1 m from the
central axis of the capacitor.
[2] A plane electromagnetic wave has a frequency of 100 MHz and is travelling in a vacuum. The magnetic
f
eld is
given by
−→
B
(
z,t
)=(10
−
8
T
)cos(
kz
−
ωt
)
b
i
a; Find the wavelength, wavenumber, and angular frequency for this wave.
b: Find the corresponding electric
f
eld vector
E
(
z,t
)
c: Give the Poynting vector and
f
nd the intensity of this wave.
.
[3] The intensity of sunlight striking the earth’s upper atmosphere is called the solar constant and is 1.35 kW/m
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 Spring '08
 Jordan
 Charge, Current, Work, Light, Permittivity, Fundamental physics concepts, electric ﬁeld vector

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