The answer to 'why is my smoke detector burning smell' is that a burning or smoke-like smell coming from your smoke detector is typically caused by an issue with the detector itself. This could be due to a malfunctioning component, a buildup of dust or debris, or even a problem with the electrical wiring.
Some common symptoms include the detector making a beeping or chirping sound, the alarm going off unexpectedly, or the detector feeling hot to the touch. In many cases, the issue can be resolved by cleaning the detector or replacing the batteries. However, if the problem persists, it's best to call a professional electrician to diagnose and repair the issue.