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57. From Eq. 3151 and Eq. 3143, the rate at which the energy is being stored in the inductor is
dU
B
dt
=
d
(
1
2
Li
2
)
dt
=
Li
di
dt
=
L
µ
E
R
³
1
−
e
−
t/τ
L
´
¶µ
E
R
1
τ
L
e
−
t/τ
L
¶
=
E
2
R
³
1
−
e
−
t/τ
L
´
e
−
t/τ
L
where
τ
L
=
L/R
has been used. From Eq. 2722 and Eq. 3143, the rate at which the resistor is
generating thermal energy is
P
thermal
=
i
2
R
=
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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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