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Capacitance in Physics

A capacitor holds charge by keeping two conductors close enough that they attract each other across the gap, and its capacitance measures how much charge it takes to raise the voltage by one volt. That ratio is fixed by geometry alone, which is why a capacitor stores the same amount for the same voltage no matter what circuit it sits in. Slipping an insulator between the plates makes the storage cheaper, because the material's molecules stretch and cancel part of the field. The blocks give the definition, the shapes worth remembering, the two ways of joining capacitors, the energy a charged one holds, and the dipole relations that explain from first principles why a dielectric helps at all.

Definition of capacitance

Given

  • (C)
  • (V)
Charge stored on a capacitor at a given voltage

Given

  • (F)
  • (V)
Capacitance of a parallel plate capacitor

Given

  • (m²)
  • (m)

Constant used

Capacitance of a parallel plate capacitor with a dielectric

Given

  • (m²)
  • (m)

Constant used

Capacitance of an isolated charged sphere

Given

  • (m)

Constant used

Equivalent capacitance of capacitors in parallel

Given

  • (F)
Equivalent capacitance of capacitors in series

Given

  • (F)
Energy stored in a charged capacitor

Given

  • (C)
  • (F)
  • (V)
Energy per unit volume stored in an electric field

Given

  • (V/m)

Constant used

Effect of inserting a dielectric at constant charge

Given

  • (F)
Electric dipole moment

Given

  • (C)
  • (m)
Torque on an electric dipole in a uniform field

Given

  • (C m)
  • (N/C)
  • (rad)
Potential energy of an electric dipole in a uniform field

Given

  • (C m)
  • (N/C)
  • (rad)