Ohm's Law Calculator
Calculate voltage, current, resistance, or power using Ohm's Law. Enter any two known values to find the unknown parameters.
Amperes (A)
Ohms (Ω)
Ohm's Law is the fundamental relationship between voltage, current, and resistance in electrical circuits. German physicist Georg Ohm published it in 1827. It states that current through a conductor is directly proportional to voltage and inversely proportional to resistance.
The Core Formula
V = I × R
Voltage = Current × Resistance
Voltage (V)
Electrical pressure that pushes electrons through a circuit. Measured in volts. Think of it like water pressure in a pipe.
Current (I)
Flow rate of electrons through the circuit. Measured in amperes (amps). Like the volume of water flowing through a pipe.
Resistance (R)
Opposition to current flow. Measured in ohms (Ω). Similar to pipe diameter - narrower pipes restrict flow more.
| To Find | Formula | When You Know |
|---|---|---|
| Voltage (V) | V = I × R | Current and Resistance |
| Voltage (V) | V = P / I | Power and Current |
| Current (I) | I = V / R | Voltage and Resistance |
| Current (I) | I = P / V | Power and Voltage |
| Resistance (R) | R = V / I | Voltage and Current |
| Resistance (R) | R = V² / P | Voltage and Power |
| Power (P) | P = V × I | Voltage and Current |
| Power (P) | P = I² × R | Current and Resistance |
| Power (P) | P = V² / R | Voltage and Resistance |
| Device | Voltage | Current | Resistance |
|---|---|---|---|
| AA Battery | 1.5V | Varies by load | Internal: ~0.15Ω |
| Car Battery | 12V | Up to 500A (starting) | Internal: ~0.02Ω |
| USB Port | 5V | 0.5A - 3A | Device dependent |
| US Wall Outlet | 120V | 15A - 20A (circuit) | Device dependent |
| LED (typical) | 2-3V | 20mA | ~150Ω (with resistor) |
| 60W Light Bulb | 120V | 0.5A | 240Ω (hot) |
Example 1: Finding Current
You have a 12V battery connected to a 100Ω resistor. How much current flows?
Example 2: Choosing a Resistor for an LED
You want to power a 2V LED with a 9V battery at 20mA. What resistor do you need?
Voltage across resistor = 9V - 2V = 7V
R = V / I = 7V / 0.02A = 350Ω
Use nearest standard value: 330Ω or 390Ω
Example 3: Power Dissipation
A 10Ω resistor has 2A flowing through it. How much power does it dissipate as heat?
P = I² × R = (2A)² × 10Ω = 4 × 10 = 40W
You would need a 50W+ resistor to avoid burning it up!
Frequently Asked Questions
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