There is a problem with the simple circuit, which is a risk of catastrophic failure.
![ledchain.jpg ledchain.jpg](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
The circuit is required to feed 2.2V at 0.27A to a fairy light string of parallel LEDs. Fed by a 12V battery, the resistor is calculated to drop 12-2.2 = 9.8V at 0.27A. From Ohms Law R=V/I so R=9.8/0.27 = 36.3ohms. Also, because Watts = VI, the resistor has to be big enough to dissipate at least 9.8V*0.27A = 2.65W
The dissipation isn't critical, anything bigger will do : I'd use a 5W type.
36 ohms isn't a standard value, so it's tempting to use the nearest resistor which is 33ohms.
What could possibly go wrong? What follows is a simplification, see Joe's comments above.
- V=IR, so 0.27A * 33 = 8.2V, putting 3.8V on the LEDs rather than 2.2V, causing them to draw more current and get hotter. Exactly how much hotter depends on the characteristics of the LEDs, but they are all being over-driven.
- How accurate is the 12V battery? A nominally 12V Lead Acid Battery is actually 13.8V when fully charged. If so, the 33ohm resistor only drops 8.2V, putting 5.6V on the LEDs, further over-driving the LEDs and making them even hotter
- Sooner or later one of the over driven LEDs is likely to fail. This reduces the current being drawn through the resistor, causing the voltage on the LEDs to rise again. The extra stress is likely to pop the next weakest, putting yet more volts on the survivors. A chain reaction is likely.
The risk would be reduced by using a 39 ohm resistor, but a potential divider circuit is really too simple if any level of reliability is needed. Should be OK for a theatrical production provided the plot doesn't depend on them! Definitely not acceptable in an emergency lighting system.
A better answer is a voltage or current regulating circuit, like those already listed. These ensure that a chain of LEDs aren't over-driven by input voltage changes or as a result of LED failures. The switching type are also more efficient, not wasting a couple of watts in the dropper resistor.
Most educational this forum. I'd no idea the 'diode' devices identified by Martin existed! They're purpose made for this problem – some rather complicated electronics packaged inside a 2-pin device.
In practice, for convenience in a non-critical situation, I'd be inclined use a 39 ohm resistor and make sure the battery is 12V, not 13.8!
Dave
Edited By SillyOldDuffer on 04/11/2022 10:03:59