Capacitance of a parallel plate capacitor:

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Capacitance of a parallel plate
capacitor Calculated through application of
Gausss Law Definition of Electric Potential
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Do not overlook the examples in the book!There
is one for a spherical capone for a
cylindrical cap.
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Multiple Capacitors

• Equivalent Capacitance of Multiple Capacitors
• Series Parallel

Note same charge on each cap. Total charge on
equivalent is q not 3q!!
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Example

• 5 capacitors, each having 10.0uF of capacitance
  are connected to a battery of 10V. What is the
  charge on and the voltage across C1 and C2?

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Energy Stored in a Capacitor

• Caps store energy in the form of electric
  potential energy
• When an outside agent does work on the cap (moves
  charge from one plate to another), the stored
  electric potential energy increases.

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Electric Field Energy Density

• The electric potential energy can be modeled as
  being of the electric field itself.