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86. (a) Eqs. 334 and 3314 lead to
Q
=
I
ω
=
I
√
LC
=1
.
27
×
10
−
6
C
.
(b) We choose the phase constant in Eq. 3312 to be
φ
=
−
π/
2, so that
i
0
=
I
in Eq. 3315). Thus,
the energy in the capacitor is
U
E
=
q
2
2
C
=
Q
2
2
C
(sin
ωt
)
2
.
Diferentiating and using the Fact that 2 sin
θ
cos
θ
= sin 2
θ
,weobta
in
dU
E
dt
=
Q
2
2
C
ω
sin 2
ωt .
We ±nd the maximum value occurs whenever sin 2
ωt
=1
,wh
ichleads(w
ith
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.
 Fall '08
 SPRUNGER
 Physics, Energy

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