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()
( )
2
36
2
22
1
.
0
s
2
.
0
0
2
2
1.0 10 C
1.0 10
1.0W
,
1.0s
tt
t
qR
Pe
e
e
τ
−
−−
−
××
Ω
==
=
where
t
is again measured in seconds.
64. (a) The initial energy stored in a capacitor is given by
2
0
/2 ,
C
UqC
=
where
C
is the
capacitance and
q
0
is the initial charge on one plate. Thus
qC
U
C
0
63
1
0
1
0
0
5
0
1
0
1
0
×
=
×
..
.
FJ
C
.
ch
b
g
(b) The charge as a function of time is given by
qq
e
t
=
−
0
, where
is the capacitive time
constant. The current is the derivative of the charge
i
dq
dt
q
e
t
=−
=
−
0
,
and the initial current is
i
0
=
q
0
/
. The time constant is
RC
( )( )
66
1.0 10 F 1.0 10
−
Ω
=
.
Thus
i
0
33
10 10
10
=×
=
×
.
Cs
A
c
h
bg
.
(c) We substitute
0
t
e
−
=
into
V
C
= q
/
C
to obtain
3
1.0 s
3
1.0
0
6
1.0 10 C
1.0 10 V
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 Spring '08
 Any
 Physics, Capacitance, Charge, Energy

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