This page shows how power (P), voltage (V), current (I) and resistance (R) are related.

 

Power Calculation

In the diagram, the power in Watts is dissipated as heat by the resistor.
To prevent overheating, the resistor power rating must be sufficient.

 

P = I V

P = V2 / R

P = I2 R

 

Alternating Currents

To calculate RMS power, use RMS values for voltage and/or current.

Prms = Irms Vrms

Prms = Vrms2 / R

Prms = Irms2 R

 

Deriving Power Formulas

Ohm's law states that current, voltage and resistance are related in the following three ways ...


P = V I

V = IR

hence

P = I2 R


P = V I

I = V / R

hence

P = V2 / R