Leave unknowns blank — they will be calculated automatically.
V
I × R
P / I
√(P × R)
I
V / R
P / V
√(P / R)
R
V / I
V² / P
P / I²
P
V × I
V² / R
I² × R
Our Ohm's Law Calculator lets you find any two unknown electrical quantities when you provide the other two. Enter any combination of Voltage (V), Current (I), Resistance (R), or Power (P), and the calculator instantly solves for the remaining values using Ohm's Law and the power equation.
Ohm's Law is the foundation of electrical engineering. It states that the current through a conductor is directly proportional to the voltage across it and inversely proportional to its resistance: V = I × R. Combined with the power formula P = V × I, these two equations can solve virtually any basic DC circuit problem.
This tool is essential for electricians, electronics hobbyists, students, and engineers who need quick calculations for circuit design, troubleshooting, and component selection.
Ohm's Law was formulated by German physicist Georg Simon Ohm in 1827. It describes the relationship between voltage, current, and resistance in a linear, resistive circuit. The law holds true for circuits containing only resistive elements, whether the voltage is DC or AC.
The three primary forms are: V = I × R (voltage equals current times resistance), R = V / I (resistance equals voltage divided by current), and I = V / R (current equals voltage divided by resistance).
Electrical power (P) is the rate of energy transfer, measured in watts. Joule's Law combined with Ohm's Law gives us: P = V × I, P = I²R, and P = V²/R. Our calculator uses all of these relationships to solve for any unknown.
Ohm's Law
V = I × R | I = V / R | R = V / IThe fundamental relationship between voltage (V), current (I), and resistance (R).
Power Equations
P = V × I | P = I² × R | P = V² / RPower (P) in watts can be derived from any two of V, I, and R.
Derived Relationships
V = √(P × R) | I = √(P / R) | R = P / I² | V = P / IAll 12 possible combinations from the Ohm's Law formula wheel.
| Known | Values | Calculated | Results |
|---|---|---|---|
| V & I | V=120V, I=2A | R & P | R=60Ω, P=240W |
| V & R | V=9V, R=100Ω | I & P | I=0.09A, P=0.81W |
| I & R | I=0.5A, R=220Ω | V & P | V=110V, P=55W |
| V & P | V=240V, P=1000W | I & R | I=4.17A, R=57.6Ω |
Calculate any two unknowns from the other two — all 6 input combinations supported.
Built-in visual formula wheel showing all 12 relationships between V, I, R, and P.
Real-time calculation as you type — no need to press a button.
Shows the formulas used for each calculation, perfect for learning.
Yes, but impedance (Z) replaces resistance (R). Impedance includes both resistive and reactive components.
With constant resistance, doubling voltage doubles the current AND quadruples the power (P = V²/R).
Resistance is opposition to DC current. Impedance includes resistance plus reactance (from inductors and capacitors) in AC circuits.
Only for the linear (ohmic) region. Semiconductors like diodes and transistors have non-linear V-I characteristics.
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