Ohm's Law Explained Simply (V = I × R)

What voltage, current and resistance mean, how Ohm's law connects them, and how to pick the right resistor for an LED.

ohms lawvoltagecurrentresistancebeginner electronics

Ohm's law is the first rule every electronics learner meets. It links three things in a circuit:

  • Voltage (V), measured in volts: the "push" that moves electricity.
  • Current (I), measured in amps: how much electricity flows.
  • Resistance (R), measured in ohms (Ω): how much a part slows the flow.

The formula

V = I × R

Rearrange it to find whichever value you are missing:

You want Use
Voltage V = I × R
Current I = V ÷ R
Resistance R = V ÷ I

Example: a resistor for an LED

A red LED needs about 2 V and 20 mA (0.02 A). Your battery gives 9 V.

  1. Voltage the resistor must drop: 9 V − 2 V = 7 V
  2. Resistance: R = 7 ÷ 0.02 = 350 Ω
  3. Pick the next standard size up: 390 Ω

Too small a resistor lets too much current through and the LED burns out. Too big and it just glows dimly.

Quick tips

  • Always check the units: 20 mA is 0.02 A, not 20 A.
  • Power in the resistor is P = V × I = 7 × 0.02 = 0.14 W, so a common ¼ W resistor is fine.
  • A multimeter lets you measure all three values and check your maths.

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