Electronic – Fixing an LED night light circuit

ledresistors

I bought an LED night light that's powered by three AAA batteries. At first it was super bright (too bright!) but then faded and finally went dead after just a week. It seemed to me that it didn't have an adequate current limiting resistor so I opened it up. It's simply 8 LEDs in series with a resistor, 3 AAA batteries and a switch.
bare nightlight
The resistor is strange since it appears to be red-red-gold-gold banding and I don't know what to make of gold in the third position.
nightlight resistor
My question is, do you think it was the resistor that caused it to burn out so fast, and if so, what would be an appropriate replacement?

Best Answer

Each White 5mm LED is rated about 65mW at 3.1V@20mA with an ESR of approx 15 Ohms intersecting with 2.8V.

Thus 8 parallel LEDs have an ESR of 15/8~=2 ohms. The fixed part appears have gold indicating a decimal point between Red-Red or 2.2 Ohms .

Thus current at 4.5V to 2.9V to a load defined as 2.8V +(15/8+2.2)If=Vbat

Thus If =( Vbat-2.8V ) / 4 Ohms

For Vbat =4.5 , If= 53mA / LED. !!
For Vbat =4.0 , If = 38mA / LED !
For Vbat = 3.5, If = 22mA / LED ok.
For Vbat = 3.1, If = 2.8 mA/ LED dim.

So power consumption for average at 4V is 1.2 Watts and 3 cell’s with est 3* 1.8Wh @ 0.5A might give 4 hours really too bright then a few days dim to dead.

Conclusion :

bad match of battery to load. Increasing R to two 2.2 R’s to share heat or 4.4 reduces power drain, reduces efficiency but reduces the initial current giving slightly more time. Maybe 2 weeks vs 1.

Chalk it up to a poor design.