MAXWELL’S DISPLACEMENT CURRENT
A. Recall Ampere‟s Law
I
C
r
S
P
oc
B dl
I
The line integral of
B dl
around
any closed path
equals μ
o
I
C
where I
C
is the total steadystate
conduction current passing through
any surface
bounded by the closed path.
2
2
B
r
I
I
B
r
B. Maxwell‟s Difficulty
Consider a charging capacitor.
Consider the two surface – the plane surface and the bulging surface:
Plane Surface
plane
surface
B dl
I
Bulging Surface
lg
0
Thus, clearly a contradiction!!
bu
ing
surface
B dl
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View Full DocumentC. Maxwell‟s Solution
Maxwell solved this problem by postulating an additional term in Ampere‟s Law called
Displacement Current
.
E
do
d
I
dt
Displacement Current
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 Spring '11
 Luna
 Current, Magnetic Field, Electric charge, dl, closed path, Ampere‟s Law

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