The formulas for calculating the LED current limiting resistor value and its power dissipation are:
\[Resistor Value (R) = \frac{Supply Voltage - LED Forward Voltage}{LED Forward Current}\]
\[Power Dissipation (P) = (Supply Voltage - LED Forward Voltage) \times LED Forward Current\]
Where:
Resistor Value (R): The resistance needed to limit the current (in ohms, Ω)
Supply Voltage: The voltage of the power source (in volts, V)
LED Forward Voltage: The voltage drop across the LED (in volts, V)
LED Forward Current: The current flowing through the LED (in amperes, A)
Power Dissipation (P): The power dissipated by the resistor (in watts, W)
Calculation Steps
Identify the supply voltage, LED forward voltage, and LED forward current
Calculate the resistor value using the first formula
Calculate the power dissipation using the second formula
Choose a resistor with the nearest standard value above the calculated resistance and with an appropriate power rating
Example Calculation
Let's calculate the resistor value and power dissipation for an LED circuit with: