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{ Electrostatic: Electric Potential Chapter 24 Halliday-Resnick 9 th Ed.

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Page 1: Electrostatic: Electric Potential - ITB BLOGSCapacitor •Charged : equal magnitudes but opposite signs: +q and -q. •charge of a capacitor = q, •q net charge on the capacitor,

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Electrostatic:Electric Potential

Chapter 24 Halliday-Resnick 9th Ed.

Page 2: Electrostatic: Electric Potential - ITB BLOGSCapacitor •Charged : equal magnitudes but opposite signs: +q and -q. •charge of a capacitor = q, •q net charge on the capacitor,

= ; =

= ln + + /

Potential due to a continuouscharge distribution:Line of charge

= /== = = += +

Page 3: Electrostatic: Electric Potential - ITB BLOGSCapacitor •Charged : equal magnitudes but opposite signs: +q and -q. •charge of a capacitor = q, •q net charge on the capacitor,

Potential due to a continuouscharge distribution:charged disk =====

= + −= += +

Page 4: Electrostatic: Electric Potential - ITB BLOGSCapacitor •Charged : equal magnitudes but opposite signs: +q and -q. •charge of a capacitor = q, •q net charge on the capacitor,

Calculating the Field from the Potential= −a positive test charge moves through adisplacement from one equipotentialsurface to the adjacent surface.the work the electric field does on the testcharge during the move is == cos

= −= −= −= −

Page 5: Electrostatic: Electric Potential - ITB BLOGSCapacitor •Charged : equal magnitudes but opposite signs: +q and -q. •charge of a capacitor = q, •q net charge on the capacitor,

The electric potential energy of a system of fixedpoint charges is equal to the work that must bedone by an external agent to assemble the system,bringing each charge in from an infinite distance.

Electric Potential Energy of a System of Point Charges

=

Page 6: Electrostatic: Electric Potential - ITB BLOGSCapacitor •Charged : equal magnitudes but opposite signs: +q and -q. •charge of a capacitor = q, •q net charge on the capacitor,

What is the electricpotential energy of thissystem of charges? Assumethat = 2 and thatql = +3 nC,q2 = -2 nCq3 = +5 nC,

Page 7: Electrostatic: Electric Potential - ITB BLOGSCapacitor •Charged : equal magnitudes but opposite signs: +q and -q. •charge of a capacitor = q, •q net charge on the capacitor,

Potential of a Charged IsolatedConductor

− = − ∙= 0, inside the conductor− = 0=

Page 8: Electrostatic: Electric Potential - ITB BLOGSCapacitor •Charged : equal magnitudes but opposite signs: +q and -q. •charge of a capacitor = q, •q net charge on the capacitor,

{Capacitance

Chapter 25 Halliday-Resnick 9th Ed.

Page 9: Electrostatic: Electric Potential - ITB BLOGSCapacitor •Charged : equal magnitudes but opposite signs: +q and -q. •charge of a capacitor = q, •q net charge on the capacitor,
Page 10: Electrostatic: Electric Potential - ITB BLOGSCapacitor •Charged : equal magnitudes but opposite signs: +q and -q. •charge of a capacitor = q, •q net charge on the capacitor,

{

Capacitors

Page 11: Electrostatic: Electric Potential - ITB BLOGSCapacitor •Charged : equal magnitudes but opposite signs: +q and -q. •charge of a capacitor = q, •q net charge on the capacitor,

Capacitor• Charged : equal magnitudes but

opposite signs: +q and -q.• charge of a capacitor = q,• q net charge on the capacitor,

which is zero• all points on a plate are at the same

electric potential.• there is a potential difference be

tween the two plates• The charge q and the potential

difference V for a capacitor areproportional to each other:= , C: capacitance

Page 12: Electrostatic: Electric Potential - ITB BLOGSCapacitor •Charged : equal magnitudes but opposite signs: +q and -q. •charge of a capacitor = q, •q net charge on the capacitor,

a measure of how much charge must be puton the plates to produce a certain potentialdifference between them:

The greater the capacitance, the more chargeis required.

The SI unit of capacitance : coulomb per volt(a.k.a. farad [F])

1 farad = 1 F = 1 coulomb per volt = 1 e/v.

Capacitance =

Page 13: Electrostatic: Electric Potential - ITB BLOGSCapacitor •Charged : equal magnitudes but opposite signs: +q and -q. •charge of a capacitor = q, •q net charge on the capacitor,

Calculating the CapacitanceElectric Field= ∙ ==

Potential Difference− = − ∙= + ∙

Page 14: Electrostatic: Electric Potential - ITB BLOGSCapacitor •Charged : equal magnitudes but opposite signs: +q and -q. •charge of a capacitor = q, •q net charge on the capacitor,

Parallel platecapacitor:so large, so close togetherthe fringing of the electricfield can be neglected

Electric Field= ∙ ==Potential Difference− = − ∙= + ∙ =

= → = =Geometry dependent

Page 15: Electrostatic: Electric Potential - ITB BLOGSCapacitor •Charged : equal magnitudes but opposite signs: +q and -q. •charge of a capacitor = q, •q net charge on the capacitor,

Cylindrical Electric Field= ==Potential Difference= + ∙= −= ln= ln /

Page 16: Electrostatic: Electric Potential - ITB BLOGSCapacitor •Charged : equal magnitudes but opposite signs: +q and -q. •charge of a capacitor = q, •q net charge on the capacitor,

Spherical Electric Field= ==Potential Difference= + ∙= − 4= 4 1 − 1

= − = 1 − /

Page 17: Electrostatic: Electric Potential - ITB BLOGSCapacitor •Charged : equal magnitudes but opposite signs: +q and -q. •charge of a capacitor = q, •q net charge on the capacitor,