Electronic – Why is the series resistor getting hot in this LED driving circuit

resistanceresistorswatts

I am trying to create the circuit below but then the resistor is getting too hot. I think is has something to do with my power source 15V, 8A. My resistor is 51 ohms, 1/4W. Any comment please… Should I increase resistance or wattage to prevent resistor from getting very hot.

schematic

simulate this circuit – Schematic created using CircuitLab

Thanks.

Best Answer

For a resistor

$$p_R = \dfrac{V^2_R}{R}$$

Generally speaking, it is not a good idea to operate a resistor at its power rating.

But, assuming we do operate at 1/4W, we find:

$$V_{R_{max}} = \sqrt{0.25W \cdot 51 \Omega} = 3.57V$$

So, you really would like the voltage across the resistor to be quite a bit less than \$3.57V\$

Now, the voltage across the resistor is:

$$V_R = 15V - 4 \cdot V_D$$

where \$V_D\$ is the nominal voltage across one of the diodes. So, if

$$V_D \le \dfrac{15 - 3.57}{4} = 2.86V$$

you'll be at or exceeding the maximum power rating of the resistor which will make it very hot indeed.

If this is the case, then you must increase the resistance or power rating or both.