Ohm's Law Calculator
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Ohm's Law Formulas
electric_bolt Common Voltages
lightbulb Quick Tips
- ⚡ V = I × R (Voltage = Current × Resistance)
- 🔌 P = V × I (Power = Voltage × Current)
- ⚠️ Higher voltage = more dangerous
science 12V car accessory with 6Ω resistance
Using I = V ÷ R, current = 12 ÷ 6 = 2 A. Power dissipated is P = V × I = 12 × 2 = 24 W. This tells you the load draws 2 amps and dissipates 24 watts of heat — important for choosing wire gauge and verifying the resistor's power rating.
Expected Results
How to Use This Calculator
Pick What to Calculate
Click Voltage, Current, or Resistance on the Ohm's Law wheel (or the buttons below it) to choose which variable to solve for.
Enter the Two Known Values
Fields for the other two variables appear. Type the values you already know — for example, enter current (A) and resistance (Ω) to find voltage (V).
Read Instant Results
The calculated value updates live, along with the power dissipation (P = V × I) and the exact formula used.
The Formula
Ohm's Law states that the current through a conductor between two points is directly proportional to the voltage across the two points, with resistance as the constant of proportionality. Power is the rate at which electrical energy is converted to heat, light, or mechanical work. Together these give a family of twelve formulas covering every pair of knowns.
V = I × R | I = V ÷ R | R = V ÷ I | P = V × I = I² × R = V² ÷ R
lightbulb Variables Explained
- V Voltage (volts, V) — electrical potential difference
- I Current (amperes, A) — rate of charge flow
- R Resistance (ohms, Ω) — opposition to current flow
- P Power (watts, W) — rate of energy transfer
tips_and_updates Pro Tips
Always check the power rating of resistors: a resistor that passes the right current may still burn out if P exceeds its watt rating (common values: 1/4 W, 1/2 W, 1 W).
For LEDs, use a series resistor: R = (V_supply − V_LED) ÷ I_LED. A 5V supply and 2V / 20mA LED needs (5 − 2) ÷ 0.02 = 150 Ω.
Use milliamps (mA) and milliwatts (mW) for small circuits: 1 A = 1000 mA, 1 W = 1000 mW. The math is identical.
Ohm's Law is strictly true only for ohmic (linear) materials. Diodes, LEDs, and semiconductors do NOT follow V = IR directly.
For AC circuits with reactive loads, replace R with impedance (Z) and include the power factor: P = V × I × cos(φ).
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Data sourced from trusted institutions
All formulas verified against official standards.