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Ohm's Law Calculator

Calculate voltage, current, resistance, or power from any two known values.

Enter any two known values to calculate the third. The calculator will also show the fourth value.
VIRPV=I×RP=I²×RP=V²/RP=V×I
Voltage
V = I × R
Power
1.200 W

Ohm's Law Formulas

Voltage
V = I × R
V = P / I
V = √(P×R)
Current
I = V / R
I = P / V
I = √(P/R)
Resistance
R = V / I
R = V² / P
R = P / I²
Power
P = V × I
P = V² / R
P = I² × R

Understanding Ohm's Law

Ohm's Law is the fundamental relationship between voltage, current, and resistance in electrical circuits. It states that the current through a conductor is directly proportional to the voltage across it and inversely proportional to its resistance.

The Basic Formula

V = I × R

Where V is voltage in volts, I is current in amperes, and R is resistance in ohms.

Power Relationship

P = V × I

Power in watts equals voltage times current. Combined with Ohm's Law, this gives us 12 useful formulas.

Practical Examples

LED Current Limiting

5V supply, LED with 2V forward voltage, need 20mA current:

R = (5V - 2V) / 0.02A = 150Ω

Battery Runtime

Device draws 200mA from 3.7V battery, what's the power consumption?

P = 3.7V × 0.2A = 0.74W

Heater Power

12V heater with 6Ω resistance, what current and power?

I = 12V / 6Ω = 2A
P = 2A × 12V = 24W

Wire Sizing

Motor draws 5A, max wire resistance to limit drop to 0.5V:

R = 0.5V / 5A = 0.1Ω max

Resistor Wattage

1kΩ resistor with 10V across it, what wattage needed?

P = 10² / 1000 = 0.1W
Use 1/4W or larger

Sensor Reading

Thermistor shows 10kΩ, powered with 3.3V, what current?

I = 3.3V / 10000Ω = 330µA

Important Considerations

Linear Devices Only

Ohm's Law applies to resistive (linear) devices. Diodes, transistors, and other non-linear components don't follow V=IR directly.

Temperature Effects

Resistance changes with temperature. Metals increase resistance when heated; semiconductors typically decrease.

AC vs DC

For AC circuits, impedance (Z) replaces resistance and includes inductive and capacitive reactance.

Power Rating

Always select components rated for at least 2× the calculated power dissipation for reliable operation.