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Physics

Ohm's Law Calculator (V = IR)

Solve V = IR for voltage, current or resistance — with power dissipation as a bonus.

Result

Voltage (V)

12 V

Power dissipated

24 W

P = V × I

Concept

Ohm's Law states that the voltage across a conductor is directly proportional to the current through it, provided temperature and physical conditions remain constant — the ratio V/I is the resistance R.

Ohm's Law applies to ohmic conductors (metals at constant temperature). Non-ohmic devices like diodes, LEDs and thermistors don't follow it — their R changes with V.

Power: the rate of energy dissipation in a resistor is P = VI = I²R = V²/R. This is why high-voltage transmission lines waste less power than low-voltage ones.

Formula

V=I × R
I=VR
R=VI
P (Power)=V × I = I2 × R = V2R

Variables

VV — volts
Potential difference across the conductor.
IA — amperes
Current through the conductor.
RΩ — ohms
Resistance.
PW — watts
Power dissipated.