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Electric Current and Resistance in Physics

A current is a river of charge, but the river barely moves. The electrons in a household wire drift along at a fraction of a millimetre per second, and light comes on the instant you flick a switch because the field that pushes them is established almost immediately along the whole wire. Resistance is what makes that drift cost energy, and it depends on the material and the shape of the conductor rather than on the voltage applied. The blocks give the definition of current and the drift model behind it, the resistance relations including how they change with temperature, and the three forms of the power relation that every circuit question eventually needs.

Electric current through a conductor

Given

  • (C)
  • (s)
Charge carried by a steady current

Given

  • (A)
  • (s)
Number of electrons carrying a given charge

Given

  • (C)

Constant used

Resistance of a component

Given

  • (V)
  • (A)
Ohm's law for the current through a resistor

Given

  • (V)
  • (Ω)
Potential difference across a resistor

Given

  • (A)
  • (Ω)
Resistivity of a material

Given

  • (Ω)
  • (m²)
  • (m)
Resistance from the geometry and the resistivity

Given

  • (Ω m)
  • (m)
  • (m²)
Current from the drift speed of the charge carriers

Given

  • (1/m³)
  • (C)
  • (m²)
  • (m/s)
Drift speed of the charge carriers

Given

  • (A)
  • (1/m³)
  • (C)
  • (m²)
Resistance of a conductor at a new temperature

Given

  • (Ω)
  • (1/°C)
  • (°C)
Resistivity of a material at a new temperature

Given

  • (Ω m)
  • (1/°C)
  • (°C)
Electrical power delivered to a component

Given

  • (A)
  • (V)
Power dissipated in a resistor from the current

Given

  • (A)
  • (Ω)
Power dissipated in a resistor from the voltage

Given

  • (V)
  • (Ω)
Energy converted by a component over a time

Given

  • (W)
  • (s)