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83. (a) At any time, the total energy
U
in the circuit is the sum of the energy
U
E
in the
capacitor and the energy
U
B
in the inductor. When
U
E
= 0.500
U
B
(at time
t
), then
U
B
=
2.00
U
E
and
U = U
E
+ U
B
= 3.00
U
E
. Now,
U
E
is given by
qC
2
2
/
, where
q
is the charge
on the capacitor at time
t
. The total energy
U
is given by
QC
2
2
/
, where
Q
is the
maximum charge on the capacitor. Thus,
22
3.00
0.577
.
3.00
Qq
Q
qQ
CC
=⇒
=
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics, Energy

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