ENGINEERING CALCULATOR

Ohm's Law Calculator

Calculate voltage, current or resistance with V = I × R. The result is shown in a readable unit with its SI equivalent and substituted formula.

Calculation target

Calculation result

Automatic result unit: V

Substituted formula

V = I × R V = 2 A × 10 Ω V = 20 V

SI equivalent: 20 V

What is this Ohm's law tool used for?

This tool uses the basic relationship between voltage, current and resistance in an electrical circuit to solve the third variable from the two known values.

It is useful for quick checks in circuit design, resistor selection, fuse and cable sizing, and electronics hobby projects.

Formulas used

  • V = I × R
  • I = V / R
  • R = V / I

Variables and meaning

V
Voltage, or electric potential difference across the circuit.
I
Electric current flowing through the circuit.
R
Resistance opposing the current in the circuit or component.

Unit reference tables

Voltage units

Unit nameSymbolSI equivalentTypical use
Millivolt (mV)mV0.001 VSensors and low-level signals
Volt (V)V1 VBase SI voltage unit
Kilovolt (kV)kV1,000 VHigh-voltage transmission

Current units

Unit nameSymbolSI equivalentTypical use
Milliampere (mA)mA0.001 AElectronic circuit currents
Ampere (A)A1 ABase SI current unit
Kiloampere (kA)kA1,000 AIndustrial power systems

Resistance units

Unit nameSymbolSI equivalentTypical use
Ohm (Ω)Ω1 ΩBase SI resistance unit
Kiloohm (kΩ)1,000 ΩElectronic circuit resistors
Megaohm (MΩ)1,000,000 ΩInsulation-resistance measurements

Worked examples

What voltage appears across a 10 Ω resistor at 2 A?

V = I × R = 2 A × 10 Ω = 20 V.

What current flows if a 12 V source is connected to 4 Ω?

I = V / R = 12 V / 4 Ω = 3 A.

Typical applications

  • Circuit-board checks and resistor verification
  • Current-limiting resistor sizing for LEDs and sensors
  • Preliminary cable and fuse sizing checks
  • Electronics education and hobby projects

Assumptions and limitations

  • The formula applies to elements with approximately constant resistance; it is not directly valid for nonlinear devices such as diodes and transistors.
  • Temperature-dependent resistance change is not included in this basic calculation.
  • In reverse calculations, the denominator cannot be zero when solving for current or resistance.

Sources

  1. NIST Guide to the SI
  2. BIPM SI Brochure

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