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Inductance in Physics

An inductor is a capacitor's opposite in every way that matters. It stores energy in a magnetic field, it resists a change in current, and it does so precisely because the current it carries is what creates the field trying to hold that current steady. Switch the supply on and the current climbs gradually rather than jumping, which is why the graph looks like the charging curve of a capacitor read off the other axis. The blocks give the definition of inductance, the two switching behaviours, the energy it stores, the mutual effect between neighbouring coils, and finally the LC circuit, where the coil and the capacitor pass energy back and forth and the result is a pure, gentle oscillation.

Self-induced emf in an inductor

Given

  • (H)
  • (A)
  • (s)
Inductance of a coil from the flux it links

Given

  • (Wb)
  • (A)
Time constant of an RL circuit

Given

  • (H)
  • (Ω)
Current while an RL circuit is switched on

Given

  • (V)
  • (Ω)
  • (s)
  • (s)

Constant used

Current while an RL circuit is switched off

Given

  • (A)
  • (s)
  • (s)

Constant used

Energy stored in an inductor

Given

  • (H)
  • (A)
Energy density of a magnetic field

Given

  • (T)

Constant used

Emf induced in one coil by a changing current in another

Given

  • (H)
  • (A)
  • (s)
Angular frequency of an LC circuit

Given

  • (H)
  • (F)
Period of oscillation of an LC circuit

Given

  • (H)
  • (F)
Charge on the capacitor of an LC circuit

Given

  • (C)
  • (rad/s)
  • (s)
  • (rad)
Angular frequency of a damped RLC circuit

Given

  • (H)
  • (F)
  • (Ω)