February 10 1CAPACITORS A. Great B. Good C. Not So Good D. Bad E. Don’t turn your back!
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Transcript of February 10 1CAPACITORS A. Great B. Good C. Not So Good D. Bad E. Don’t turn your back!
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February 10
1CAPACITORS
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A. GreatB. GoodC. Not So GoodD. BadE. Don’t turn your back!
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Today◦ Examination I◦ Complete Capacitors
Friday DC Circuits
Play with batteries, wires and light bulbsWatch for WebAssign...Next Week – More of the same
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Two pieces of metalclose to one another but they don’t touch.
RealWorld
Charge has no placeto go!
C
QC
V
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Single Piece of Metal. Not connected to
anything
electrons
-------
electrons
+++++++
-------
+++++++
electrons
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-------
+++++++
-------
+++++++
q -q q -q
Charge is the same for every capacitor in a series “string”
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-------
+++++++
-------
+++++++
q -q q -q
Wires are equipotentials … sort of.
C1 C2
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-------
+++++++
-------
+++++++
q -q q -qC1 C2V1 V2
VT
1 2 TV V V
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1 2
11
22
Important:
V
T
TT
V V V
qV
C
qV
C
q
C
1 2
1 2
1 1 1T
T
q q q
C C C
C C C
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VT
1 2 31 2 3
TT
T T
Q Q QQC C C C
V V
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One Single Conductor
Model
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C1
C2
Calculate the combined capacitanceC1= C2= C1||c2=
Measure=__
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(C1+C2)series=
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Determine the equivalent capacitance between A and B for the group of capacitors in the drawing. Let C1 = 14 µF and C2 = 5.0 µF.
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A capacitor which acquires a charge of 1 coulomb on each plate with the application of one volt is defined to have a capacitance of 1 FARAD
One Farad is one Coulomb/Volt
CVq
orV
qC
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d
AC
sod
AVEAAq
V
qC
0
00
The capacitance of a
parallel plate capacitor depends only on the Area and separation between the plates.
C is dependent only on the geometry of the device!
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mpFmF
andm
Farad
Voltm
CoulombVoltCoulombm
Coulomb
Joulem
Coulomb
Nm
Coulomb
/85.8/1085.8 120
2
2
2
2
0
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DIELECTRIC
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Some LOCAL ordering Larger Scale Ordering
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- +Net effect REDUCES the field
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qqq
and
A
qE
E
A
qqE
A
qE
'
'
0
0
0
00
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C0 = Vacuum or air Value
C = With dielectric in place
C=C0
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