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Alternating-Current Circuits in Physics

Alternating current replaces one awkward problem with a more interesting one. The answer never settles, so there is no single current to solve for, only an amplitude and a timing. Resistance alone would be dull, but coils and capacitors respond to how fast the supply changes rather than how big it is, so a coil can block a slow alternation and let a fast one through while a capacitor does the reverse. That is the whole idea behind reactance. The blocks build the toolkit in the order it is used, amplitude and root mean square values, then reactance, then the combined impedance and phase of a series circuit, then the conditions where the two reactances cancel and the circuit behaves as though the coils and capacitors were never there.

Alternating voltage from a source

Given

  • (V)
  • (rad/s)
  • (s)
Root mean square voltage

Given

  • (V)
Root mean square current

Given

  • (A)
Current through a resistor in an AC circuit

Given

  • (V)
  • (Ω)
Inductive reactance of a coil

Given

  • (rad/s)
  • (H)
Current amplitude through an inductor

Given

  • (V)
  • (Ω)
Capacitive reactance of a capacitor

Given

  • (rad/s)
  • (F)
Current amplitude through a capacitor

Given

  • (V)
  • (Ω)
Impedance of a series RLC circuit

Given

  • (Ω)
  • (Ω)
  • (Ω)
Current amplitude in a series RLC circuit

Given

  • (V)
  • (Ω)
Phase angle between voltage and current in a series RLC circuit

Given

  • (Ω)
  • (Ω)
  • (Ω)
Average power delivered to an AC circuit

Given

  • (A)
  • (V)
  • (rad)
Power factor of a series circuit

Given

  • (Ω)
  • (Ω)
Resonant angular frequency of a series RLC circuit

Given

  • (H)
  • (F)
Resonant frequency of a series RLC circuit

Given

  • (H)
  • (F)
Voltage ratio of an ideal transformer

Given

  • (V)
Current ratio of an ideal transformer

Given

  • (A)
Power through an ideal transformer

Given

  • (V)
  • (A)
  • (V)
  • (A)