Physics & Mechanics

Ohm's Law Calculator

Calculate Voltage (V), Current (I), or Resistance (R) using Ohm's Law. Instantly solve fundamental electrical engineering equations.

V
A
Ω
Calculated Voltage
12

Calculated locally in your browser. Fast, secure, and private.

The Foundation of Electronics

Ohm's Law, named after German physicist Georg Simon Ohm, is the most fundamental relationship in electrical engineering. It describes how voltage, current, and resistance interact in a linear circuit.

  • Voltage ($V$): The electrical pressure or "push" provided by a power source.
  • Current ($I$): The actual flow of electrons through the circuit.
  • Resistance ($R$): The opposition to that flow.

The "Water Pipe" Analogy

To visualize Ohm's Law, imagine water flowing through a pipe:

  • Voltage is the water pressure.
  • Current is the volume of water flowing through the pipe.
  • Resistance is the narrowness of the pipe.

If you increase the pressure (Voltage) while the pipe width stays the same, the water flow (Current) increases. If you keep the pressure the same but make the pipe narrower (increase Resistance), the flow (Current) decreases.

The Formula

V=IR\begin{aligned} V = I \cdot R \end{aligned}

Where:
V=
Voltage (Volts)
I=
Current (Amperes)
R=
Resistance (Ohms)

Example Calculation

You have a $12 , \text{V}$ car battery connected to a lightbulb with a resistance of $6 , \Omega$.

  1. Use Current Formula ($I = V / R$): $12 / 6 = 2 , \text{Amperes}$.

The bulb draws $2 , \text{A}$ of current.

Frequently Asked Questions

No. It only applies to 'Ohmic' materials where resistance is constant regardless of voltage. Non-ohmic devices like LEDs, transistors, and vacuum tubes do not follow this simple linear relationship.

In a 'short circuit', resistance drops to near zero. According to Ohm's Law, if $R$ is zero, the current ($I$) approaches infinity. This causes extreme heat and is why circuits use fuses or breakers to cut power before a fire starts.

It's the current (flow of electrons) that actually disrupts your heart rhythm or causes burns. However, you need high voltage (pressure) to overcome the high resistance of human skin and push a dangerous amount of current through your body.