Determine the component arrangement of your LED design and the voltage level of the power supply used. For this example, use an LED connected in series with a resistor, referred to as a series LED resistor circuit. Assume that this series combination is connected across a 12 volt battery supply. Note that the circuit is connected as follows: the positive supply of the power supply is connected to the left end of the resistor, the right end of the resistor is connected to the anode of the LED and the cathode of the LED is connected to the negative terminal of the power supply.
Consider that different circuit arrangements will require different calculations for the resistance than the one illustrated below.
Determine or estimate the forward voltage of the LED. Remember that the forward voltage is the minimum voltage required across the LED for it to emit light. Ask the manufacturer, an electronics parts store salesman or look on the LED data sheet to find out the forward voltage. You can also estimate the forward voltage. Most small LEDs have a forward voltage in the range of 1.5 to 3 volts. Consider using 2 Volts for an estimate if you can’t find the exact value. Remember that in general the smaller LEDs will have a lower forward voltage.
Determine or estimate the LED maximum current rating. Ask the manufacturer, an electronics parts store salesman or look on the LED data sheet for this value. You can also estimate the on current. Most small LEDs have maximum on-current rating within the range of 10 milliamperes to 30 milliamperes. Consider for the most part that the bigger the LED is, the more current it will be able to carry without being damaged. Consider an estimate of 20 milliamperes for the maxumum on current if you can’t find the exact number. Remember that if the maximum current rating is exceeded in a working circuit there is the possibility that your LED will be damaged.
Calculate the voltage across the resistor for the series LED-resistor circuit. Subtract the LED’s forward voltage rating from the supply voltage used to power the circuit. For this example, with a supply voltage of 12 Volts and a LED forward voltage rating of 2 Volts, the voltage across the resistor will be 10 Volts, since 12 minus 2 is 10.
Calculate the value of the resistor needed for the series LED resistor circuit. Divide the voltage across the resistor, obtained in the previous step, by the LED's maximum on current, obtained in step 3. For this example, the voltage across the resistor is 10 Volts and the maximum on current is 20 milliamperes. The resistance value is then 500 Ohms, since 10 divided 0.02 is 500. Remember to convert milliamperes to amperes for the calculation. Since there are 1000 milliamperes per ampere, 20 milliamperes is equivalent to 0.02 amperes.