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Protect what?okk so how to protect that ?
Protect what?
It operates in class-A so the active device (the LM317) and its DC-load (the 10 ohm resistor) both waste a lot of power by making a lot of heat.
Most audio amplifiers use two complementary transistors operating in class-AB so their idle current is very low. They drive the speaker PUSH-PULL.
ICs are not exactly the same. Some are better than others even when they have the same part number and are made by one manufacturer.
The LM317 has a range of "minimum load current" from a typical amount of 3.5mA to a maximum of 10mA. The maximum for the more expensive LM117 is only 5mA. The datasheet says, "If there is insufficient load on the output, the output will rise."
The two voltage-setting resistors are the load when there is no other load. 1.25V/120 ohms is a little more current than 10mA so 120 ohms is fine for all LM317 ICs that have a very low current to an external load like a Cmos logic circuit. Some LM317 ICs like yours might work if the 120 ohm resistor is 470 ohms but the voltage might change when the temperature changes.
The datasheet for the LM317 shows that the voltage across the 120 ohm resistor can be from 1.20V to 1.30V. The 120 ohm resistor might have 5% tolerance so it can be from 114 ohms to 126 ohms. The 470 ohm resistor might also have 5% tolerance so it can be from 447 ohms to 494 ohms. The adjustment pin current might be max at 100uA.
Then the 120 ohm resistor at 114 ohms with 1.3V plus 100uA has a total current of 11.5mA. The 470 ohm resistor at 494 ohms will have a voltage of 5.7V.
Then the total output voltage is 1.3V + 5.7V= 7.0V. If the tolerances were the opposites then the output voltage will be lower than you want.
Your output voltage drifted maybe because the resistors are cheap and their value changed as they warm up.
If you use cheap resistors or a cheap copy of an LM317 then the voltage might wander a little like yours does. Maybe your voltmeter is not stable.
I use name brand carbon film or metal film resistors and National Semi (Texas instruments today) LM317 ICs and their voltage is very stable.
Use trimpots if you want to adjust the output voltage.
National Semi (Texas Instruments now) invented the LM317 and their manufacturing is excellent. I have never used anything made by ST Micro so I do not know if theirs is any good. Maybe you have a fake one.
The datasheet of the LM317 shows that its output voltage is extremely stable.
When the input voltage changes from 3V to 40V then the output voltage typically changes only 4mV. When the load current changes from 10mA to 1.5A then the output voltage typically changes only 0.1%. When the chip temperature changes from 0 degrees C to 125 degrees C the output voltage typically changes only 0.1%. The LM117 and the LM317A are better.
If you connect a zener diode to the output of an AC-DC adapter then the zener diode and the adapter will overheat since there will be nothing limiting the current.
An LM317 is much better than a zener diode anyway.
The datasheet shows that poor wiring (which is common when a breadboard is used) can degrade voltage regulation of an LM317 a lot.
Do you want to limit the current from an AC-DC adapter so it can feed a zener diode?
A zener diode has poor voltage regulation when it is compared to an LM317.
The current in a zener diode is usually limited with a series resistor. The zener diode is a SHUNT regulator so it gets the hottest when there is no load. The LM317 is a SERIES regulator so it gets the coolest when there is no load.
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