Resistor Color Code Calculator

Select the number of bands and colors to calculate resistance.

Resistance -- Ω
Tolerance ± --%

What is a Resistor Color Code?

A Resistor Color Code is a system of colored bands used to identify the resistance value, tolerance, and temperature coefficient of a resistor. Since resistors are often too small to have numbers printed on them, manufacturers use this standardized color-coding system (defined by IEC 60062) to indicate their specifications.

Understanding how to read these codes is a fundamental skill for anyone working with electronics, from hobbyists using an Arduino to professional engineers designing complex PCBs. The color code allows you to determine the resistor's value in Ohms (Ω), how precise that value is (tolerance), and in some cases, how much the resistance changes with heat.

How to Calculate Resistance (The Formula)

Calculating resistance from color bands involves decoding the significant digits and the multiplier. You can think of it as a practical application of the values found in an Ohm's law formula triangle context.

4-Band Resistor Formula

The 4-band code is the most common. The first two bands represent the first two digits of the resistance value. The third band is the multiplier (power of 10). The fourth band is the tolerance.

R = (Band1 × 10 + Band2) × 10Band3

Example: Red (2), Red (2), Orange (1k), Gold (5%) = 22 × 1,000 = 22,000Ω or 22kΩ ±5%.

5-Band Resistor Formula

Used for higher precision resistors (1% or better). The first three bands are significant digits.

R = (Band1 × 100 + Band2 × 10 + Band3) × 10Band4

6-Band Resistor Formula

Identical to the 5-band system but adds a sixth band for the Temperature Coefficient (PPM/K). This tells you how much the resistance drifts as the component warms up—crucial for sensitive analog circuits.

Practical Applications

Resistors are ubiquitous in electronics. Here are some common real-world applications where calculating the correct resistance is critical:

  • LED Current Limiting: Using an LED series resistor calculator principle, you must choose the right resistor to prevent an LED from burning out. For example, connecting a 220Ω resistor in series with a red LED on a 5V supply.
  • Voltage Division: Creating a reference voltage for microcontrollers using the voltage divider rule.
  • Pull-up/Pull-down Resistors: Ensuring digital input pins on chips like the ATmega328P have a defined state when no switch is pressed.
  • Timing Circuits: Working with a capacitor to create precise time delays in 555 timer circuits.

FAQ

How to read a 5-band resistor?

To read a 5-band resistor, read the first three bands as significant digits (e.g., Brown-Black-Black = 100). The fourth band is the multiplier (e.g., Red = x100). The fifth band is the tolerance (e.g., Brown = 1%). So, 1-0-0 x 100 = 10,000Ω or 10kΩ.

Why do I need a resistor for an LED?

LEDs are non-ohmic devices that draw excessive current if connected directly to a voltage source. A resistor is placed in series to limit this current to a safe level (typically 20mA), preventing the LED from overheating and burning out immediately.

What is the difference between series and parallel?

In a series circuit, components are connected end-to-end, so the same current flows through all of them. In a parallel circuit, components are connected across the same voltage points, splitting the current between paths. Resistors add up in series (R1+R2) but decrease in total resistance when in parallel.