Stored Energy in LCR Circuit
Given:
Find:
60
1
R
?
stored
U
220
2
R
330
3
R
480
4
R
mH
L
8
F
C
250
v
9
V
Four resistors (
R
1
= 60 Ohms,
R
2
= 220 Ohms,
R
3
= 330 Ohms, and
R
4
= 480 Ohms), an ideal
inductor (
L
= 8 mH), and a capacitor (
C
= 250 microF) are connected to a battery (
V
= 9 V) through a
switch as shown in the figure above.
sed?
The switch has been open for a long time before it is closed at t = 0. What is
U
stored
, the total
stored energy in the circuit elements (not including the battery) a long time after the switch is clo
Solutions
a.)
To find
we can use the following formula:
stored
U
After a long time the circuit is going to look as follow

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