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Electromagnetic Oscillator ( LC Circuit)
•
loop rule:
Q
C
+
L
dI
dt
= 0
, I
=
dQ
dt
•
equation of motion:
d
2
Q
dt
2
=

1
LC
Q
•
charge on capacitor:
Q
(
t
) =
Q
max
cos(
ωt
)
•
current through inductor:
I
(
t
) =

ωQ
max
sin(
ωt
)
•
angular frequency:
ω
=
1
√
LC
•
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Unformatted text preview: magnetic energy: U B = 1 2 LI 2 (stored on inductor) • electric energy: U E = Q 2 2 C (stored on capacitor) • total energy: E = U B + U E = const . C L tsl295 – p.1/1...
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This note was uploaded on 04/30/2008 for the course PHYS 204 taught by Professor Andrevantonder during the Spring '07 term at Rhode Island.
 Spring '07
 AndrevanTonder
 Charge, Current, Energy

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