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PT I
T
T
I
m
avg
rms
rms
==
F
H
G
I
K
J
εφ
cos
cos
bg
1
2
where we substitute
II
m
rms
rms
and
//
.
22
εε
(d) The energy dissipated by the resistor is
PT
I
V
T
I
I
R
T
T
I
R
R
avg,resistor
rms
rms
rms
=
F
H
G
I
K
J
b
g
1
2
2
.
(e) Since
ε
mm
R
m
m
m
V
I
I
R
I
R
cos
/
/
,
===
2
the two quantities are indeed the
same.
85. (a) The energy stored in the capacitor is given by
UqC
E
=
2
2
/
. Since
q
is a periodic
function of
t
with period
T
, so must be
U
E
. Consequently,
U
E
will not be changed over
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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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