Principle / circuit

Ohm's law & power

The relationship between voltage, current and resistance — and how it gives you power.

VIRcover one to find itOhm's lawV = I × RI = V ÷ RR = V ÷ IPowerP = V × IP = I² × RP = V² ÷ RV volts · I amps · R ohms · P watts
Ohm's law and power formulas — V = I × R, and P = V × I (also I²R and V²/R)

The relationship

Ohm's law ties together three quantities: voltage (the push), current (the flow), and resistance (the opposition). For a given resistance, more voltage drives more current; more resistance allows less current.

Rearranged, it lets you find any one of the three from the other two — the everyday tool for working out what a reading should be, or what's wrong when it isn't.

Power

Power — the rate of using energy, in watts — comes from voltage and current together. A heater's element, a motor's load, and a cable's heating all come back to power. It's why a high-resistance loose joint carrying load current gets hot: power is being dissipated where it shouldn't be.

On site

Ohm's law underpins fault-finding: an open (infinite resistance) means no current; a short (near-zero resistance) means huge current. Expected readings on a healthy circuit come straight from these relationships.

Related faults

Related definitions