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Unformatted text preview: inductor, L.
First recall what we know about
the capacitor. C
 Q0 +Q0 Physics 2B  Summer Session 2  C. Palmer August 28, 2013 31 L Let us exam a charged capacitor, C, with an inductor, L.
First recall what we know about
the capacitor. C Q0
VC,0 =
C
2
1 Q0
ETotal =
2C
Physics 2B  Summer Session 2  C. Palmer  Q0 +Q0 August 28, 2013 32 L Let us exam a charged capacitor, C, with an inductor, L.
First recall what we know about
the capacitor. Q0
VC,0 =
C
2
1 Q0
ETotal =
2C C
 Q0 +Q0 dI
VL,0 = L = 0
dt
12
EL = LI = 0
2 Physics 2B  Summer Session 2  C. Palmer August 28, 2013 33 L Now we close the switch and we have current flowing and the
capacitor is discharging.
What should the equation from
Kirchhoff ’s loop rule be?
A) C) 2
0 C
 Q0 +Q0 B) Q
dI
+L =0
C
dt D) 2 1Q
1Q 1 2
=
+ LI
2C 2C 2 dQ
I=
dt I Q
+ LI = 0
C Physics 2B  Summer Session 2  C. Palmer August 28, 2013 34 L Now we close the switch and we have current flowing and the
capacitor is discharging.
What should the equation from
Kirchhoff ’s loop rule be?
A) C) 2
0 C
 Q0 +Q0 B) Q
dI
+L =0
C
dt D) 2 1Q
1Q 1 2
=
+ LI
2C 2C 2 dQ
I=
dt I Q
+ LI = 0
C Physics 2B  Summer Session 2  C. Palmer August 28, 2013 35 L 2π
T=
ω
Physics 2B  Summer Session 2  C. Palmer August 28, 2013 I
C
 Q0 +Q0 36 L What is the current when the
charge on the capacitor is one
quarter the original value? I
C A) Q0
I=
4 B) 1
LC C)I = Q 15 1
0 16 LC 3
1
I = Q0
4
LC D) I = Q
0 31
4 LC Physics 2B  Summer Session 2  C. Palmer  Q0 +Q0 2 1Q
EC =
2C
12
EL = LI
2
August 28, 2013 37 L What is the current when the
charge on the capacitor is one
quarter the original value? I
C A) Q0
I=
4 B) 1
LC C)I = Q 15 1
0
16 LC 3
1
I = Q0
4
LC D) I = Q
0 31
4 LC Physics 2B  Summer Session 2  C. Palmer  Q0 +Q0 2 1Q
EC =
2C
12
EL = LI
2
August 28, 2013 38 L What is the current when the
charge on the capacitor is one
quarter the original value? I
C 2 1 2 1 ⎛ Q0 ⎞ 1 2
Q0 =
⎜ ⎟ + LI
2C
2C ⎝ 4 ⎠ 2
15 2
2
Q0 = LI ⇒ I = Q0
16C  Q0 +Q0 2 1Q
EC =
2C
15 1
12
16 LC EL = LI
2 Physics 2B  Summer Session 2  C. Palmer August 28, 2013 39...
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This note was uploaded on 09/10/2013 for the course PHYS 2B 2b taught by Professor Hirsch during the Summer '10 term at UCSD.
 Summer '10
 Hirsch

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