Electrical power dissipation law

Gives the electrical power delivered to a circuit element with voltage V across it and current I through it (P = VI, valid for any element). The forms I^2R and V^2/R follow from Ohm's law and apply only to resistors (ohmic elements), where the power is converted to heat.

P = VI = I^{2}R = \frac{V^{2}}{R}

What the symbols mean

electrical power (W)
voltage across the element (V)
current through the element (A)
resistance (\Omega)

About this formula

  • FieldPhysics
  • TopicElectricity and circuits
  • LevelHigh school
  • Also calledpower dissipation, electrical power formula, joule heating power, electric power in resistor, Joule's first law

Write it in Obsidian

MathLive is a free visual math editor for Obsidian. Run Find a formula, type “electrical power dissipation law”, and it goes into your note as editable LaTeX. You can also scan formulas from screenshots, PDFs and handwriting.

Related formulas