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Challenging Problem 12 Maxwells Equations

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California Polytechnic State University
Instructor: Dr. Benzahra
Physics 1520 Challenging Problem: Maxwell’s Equation
A circular-plates capacitor of radius R = 22.0 cm is connected to a source of
emf E = Em sin!t, where Em = 237V and ! = 180rad/s. The maximum value
of the displacement current is id = 4.5µA.
(a) Find the maximum value of the current i in the circuit.
(b) Find the maximum value of d E /dt, where E is the electric flux through the
region between the plates.
(c) Find the separation d between the plates.
~ between the plates at a distance
(d) Find the maximum value of the magnitude of B
r = 10.7 cm from the center.
R
I
t
22am
E 237sin11804
I
Cami4Smit
a
C 1.05510
IF i
c.EE
d
I 4.5MA
19
EoIRI
1881471
5
n
b
F O1055nF
d 0.0128m 12.8mm
if
E date
t
Y.gg
Brax 1.99 10 t
r
dYÉmt 508474.6 VmIs
I
1
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