Make the connection

Ohm’s law & power calculator

Enter a voltage and a resistance to get the current and the power instantly. Ohm’s law says V = IR, so the current is I = V/R. Electrical power can be written three equivalent ways: P = VI = I²R = V²/R. For example, 12 V across 100 Ω drives 0.12 A and transfers 1.44 W.

Printable classroom activity ↗
Ohm’s law & powerTRY IT YOURSELF
12 V100 ΩI = 0.12 AConventional current · schematic, not to scale
Current0.12 A
Power1.44 W
Voltage12 V
Resistance100 Ω
Teal + amber · follow the changing valuesIdealized physics model

What if you changed…

Try a starting point

YOUR NEXT AHA

Double the voltage. What happens to current? What happens to power?

See the calculation

V = IR · P = VI
  1. I = V/R = 12/100 = 0.12 A.
  2. P = VI = 12 × 0.12 = 1.44 W.

What this model assumes

Ideal DC voltage source and an ohmic resistor with constant resistance; wires have zero resistance.

Keep an eye on this

Real components have power ratings and may heat up; this educational model is not a circuit safety check.

Understand the physics ↗
Electricity

Formulas used in this simulation

Ohm’s law
V = IR
Voltage = current × resistance
Current
I = V/R
Amperes from volts and ohms
Resistance
R = V/I
Ohms from a measurement
Power
P = VI
Watts = volts × amperes
Power from current
P = I²R
Substitute V = IR
Power from voltage
P = V²/R
Substitute I = V/R
Formulas explained with a worked example ↗
A little question. A clearer picture.

Ohm’s law & power: common questions

Wondering about the why? Start here.

What is the Ohm’s law power formula?

Combine P = VI with V = IR to get P = I²R, or with I = V/R to get P = V²/R. All three give the same power for an ohmic resistor.

If the voltage doubles, what happens to the power?

At constant resistance the current doubles and the power increases fourfold, because P = V²/R.

What units does Ohm’s law use?

Voltage in volts (V), current in amperes (A), resistance in ohms (Ω) and power in watts (W). Convert milliamps and kilohms before substituting.

What happens when resistance increases?

At fixed voltage, current decreases because I = V/R. Power also decreases as V²/R.

Why is zero resistance not allowed?

An ideal source connected across zero resistance would demand an unbounded current. Real circuits have internal resistance and other limits.