Understanding Ohm’s Law
Ohm’s Law relates voltage, current, and resistance as V = I × R. Joule’s power relationship is P = V × I. This calculator converts all entries to volts, amperes, ohms, and watts before applying those equations.
Applicability: this is an ideal, steady, resistive-load model—not a model of every circuit. Resistance may change with temperature. Capacitors and inductors in AC circuits require frequency-dependent impedance and phase; LEDs and other semiconductors require nonlinear device curves or datasheets.
Resistance versus impedance: resistance is the real opposition modeled here. Impedance combines resistance and reactance and may introduce a phase difference between AC voltage and current.
Worked examples
Current and power from V and R
9 V and 1.5 kΩ (1500 Ω) give 0.006 A (6 mA) and 0.054 W (54 mW).
Resistance from V and I
12 V and 6 mA (0.006 A) give 2000 Ω (2 kΩ) and 72 mW.
Voltage from P and R
0.25 W and 100 Ω give √(0.25 × 100) = 5 V and 50 mA.
Select a resistor power rating
12 V across 1 kΩ dissipates 0.144 W. Choose a rating above the calculated dissipation with suitable design margin and verify the datasheet.
