Series LED Resistor Calculator

Calculating the resistor value for a single LED or a series of identical LEDs connected to a DC supply.

Inputs

(Vs)
(Vf)
If (mA)
V_s = — V R = — Ω V_f = — V I = — mA

Outputs

Ohms (Ω)
(Ω)
Watt (W)
(W)
Watt (W)
(W)

Overview

The LED has a forward voltage range and current. If you are planning to connect an LED to a DC supply, you need to limit the current for that LED to increase its lifespan. So, a correctly valued resistor is connected in series with the LED before applying the supply voltage. This method is not recommended for high-current LEDs because it needs more current to work.

How to Use This Calculator

There are three entry fields available in this calculator: supply voltage, LED voltage drop, and LED current. Enter the supply voltage you wish to connect to the LED. The LED voltage drop depends on the LED; a common chart for LED voltage drop is provided in the table below. Select the LED voltage drop based on the colour of the LED. After that, select the current that passes through the LED (normally 20 mA for an LED). After entering values in all fields, click the Calculate button to calculate the required resistance value.

A diagrammatic representation also shows the connection and the resistance value. When you click Calculate, the resistance value is also shown near the resistor symbol.

LED Series Resistor Formula

R=VsVledNIledR = \frac{V_{s} – V_{led} \cdot N}{I_{led}}

The series-connected resistor value changes when the voltage or current changes. So, in this series LED and resistor connection, the resistance value is calculated using the formula of,

  • Where R is the resistance of the connected resistor.
  • Vs is the supply voltage connected to the LED.
  • Vled is the forward voltage of the LED. This will change based on the colour of the LED.
  • Iled is the LED current.
  • N is the number of LEDs connected in series.

Common Forward Voltage of LED Based on Color

LED ColorCommon Forward Voltage (Vf)Typical Range (Vf)Recommended Target Current (If)
🔴 Red2.0 V1.8 V – 2.2 V15 mA – 20 mA
🟠 Orange2.1 V2.0 V – 2.2 V15 mA – 20 mA
🟡 Yellow2.2 V2.1 V – 2.4 V15 mA – 20 mA
🟢 Green (Standard)2.2 V1.9 V – 2.5 V15 mA – 20 mA
🟢 Green (True/Emerald)3.2 V3.0 V – 3.4 V20 mA
🔵 Blue3.3 V3.0 V – 3.6 V20 mA
⚪ White3.3 V3.0 V – 3.6 V20 mA
🟣 UV / Violet3.5 V3.2 V – 3.8 V20 mA
🕶️ Infrared (IR)1.2 V1.1 V – 1.5 V20 mA – 50 mA

LED Series Resistor Connection Circuit

led series resistor connection circuit
led series resistor connection circuit

If you want to check all Resistor related calculations, you can go through the electronic engineering calculators which are combined with many other useful electronics tools for electronics hobbyist and engineering students to solve the problem.

Example Calculation

Case 1: You want to connect two Red LED to the display panel; the supply voltage is 9 V. You cannot connect the red LED directly; its safe operating current is 20 mA. What resistor do you need to use?

Solution

  • Supply voltage is 9V DC.
  • Red Led Forward voltage is (Vled): 2V
  • Number of LED in Series (N): 2
  • Led Current (Iled): 20mA

Step1: First we need to convert the current 20mA to A

20mA÷1000=0.02A20\text{mA} \div 1000 = 0.02\text{A}

Step 2: Calculate the Required Resistance

Using the series Resistor LED formula we can use.

R=Vs(Vled×N)IledR = \frac{V_{s} – (V_{led} \times N)}{I_{led}}
R=5.0V0.02A=250ΩR = \frac{5.0\text{V}}{0.02\text{A}} = 250\:\Omega

In practical 250 ohms is not a standard value. So, you would grab the closest standard common value up of 270 ohms.

Akhil Satheesh

Akhil Satheesh

Akhil Satheesh is an electronics expert and the Founder and CEO of Soldering Mind. Specializes in designing innovative electronic circuits and custom, high-performance PCB layouts. Every project he shares on solderingmind.com is rigorously bench-tested to ensure accuracy for makers and hobbyists alike.

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