electrostatic: electric potential - itb blogscapacitor •charged : equal magnitudes but opposite...
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Electrostatic:Electric Potential
Chapter 24 Halliday-Resnick 9th Ed.
= ; =
= ln + + /
Potential due to a continuouscharge distribution:Line of charge
= /== = = += +
Potential due to a continuouscharge distribution:charged disk =====
= + −= += +
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
= −= −= −= −
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
=
What is the electricpotential energy of thissystem of charges? Assumethat = 2 and thatql = +3 nC,q2 = -2 nCq3 = +5 nC,
Potential of a Charged IsolatedConductor
− = − ∙= 0, inside the conductor− = 0=
{Capacitance
Chapter 25 Halliday-Resnick 9th Ed.
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Capacitors
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
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 =
Calculating the CapacitanceElectric Field= ∙ ==
Potential Difference− = − ∙= + ∙
Parallel platecapacitor:so large, so close togetherthe fringing of the electricfield can be neglected
Electric Field= ∙ ==Potential Difference− = − ∙= + ∙ =
= → = =Geometry dependent
Cylindrical Electric Field= ==Potential Difference= + ∙= −= ln= ln /
Spherical Electric Field= ==Potential Difference= + ∙= − 4= 4 1 − 1
= − = 1 − /