Ohm's Law Calculator (V = I × R & Electrical Power P = V × I)
Calculate voltage, current, resistance, and electrical power across DC and single-phase AC circuits.
TL;DR: Ohm's Law Calculator solves electrical circuits using Ohm's Law ($V = I \times R$) and Joule's Power Law ($P = V \times I = I^2 \times R = V^2 / R$), resolving any two known variables for the remaining two.
What Are the Fundamental Formulas for Ohm's Law and Electric Power?
Ohm's Law defines the relationship: Voltage (V in Volts) = Current (I in Amperes) × Resistance (R in Ohms): V = I × R. Electric Power (P in Watts) is calculated as P = V × I = I² × R = V² / R. Knowing any 2 of the 4 parameters allows direct calculation of the other 2.
How to Use the Ohm's Law Calculator
Our Ohm's Law Calculator performs high-precision mathematical operations directly in your browser with zero latency and complete client-side privacy.
- Enter any two known electrical values: Voltage (V), Current (I), Resistance (R), or Power (P).
- Select units (Volts, Millivolts, Amps, Milliamps, Ohms, Kilo-ohms, Watts, Kilowatts).
- Click 'Calculate' to instantly solve for the remaining two unknown electrical parameters.
- Review the active formula wheel derivation and step-by-step algebraic steps.
- Use results for electronics prototyping, Arduino/Raspberry Pi projects, or electrical sizing.
Mathematical Formula & Equations
Solves voltage ($V$ in Volts), current ($I$ in Amps), resistance ($R$ in Ohms), and electrical power ($P$ in Watts).
Calculation Example
A circuit with $V = 12\text{V}$ across a $R = 4\,\Omega$ resistor: Current $I = 12 / 4 = 3\text{ Amps}$; Power dissipation $P = 12 \times 3 = 36\text{ Watts}$.
100% Client-Side Privacy & Data Security
All calculations, amortization schedules, variables, and sensitive numerical datasets execute 100% locally in your web browser memory. Your financial, medical, and personal values are never transmitted, logged, or uploaded to any external server.
Frequently Asked Questions
- Ohm's Law states `V = I × R`, where V is Voltage in Volts, I is Current in Amperes, and R is Resistance in Ohms.
- Power can be calculated using three equivalent formulas: `P = V × I`, `P = I² × R`, or `P = V² / R`.
- Current `I = V / R = 12V / 4Ω = 3 Amperes`. The dissipated power is `P = 12V × 3A = 36 Watts`.
- According to `I = V / R`, current is inversely proportional to resistance; increasing resistance causes current to decrease proportionally.
- Yes, for AC circuits with purely resistive loads. For AC circuits with capacitors and inductors, Resistance (R) is replaced by Impedance (Z), accounting for phase shifts.
- Voltage: `V = I × R`, Current: `I = V / R`, Resistance: `R = V / I`, and Power: `P = V × I = I² × R = V² / R`.
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