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LM338T got hot at 2.5A...

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Hi.  the LM338T (TO-220) is rated for up to 5A.  I had configured the regulator circuit to +5V output (with +9V input) and attached a 2 ohm 50W resistor load to test.

At 2.5A it got very hot then thermal shutdown occurred after about 30 seconds.  I then added a 12.5TR (thick) heat sink.  It now lasted up to 35 seconds before it got really hot.  Shouldn't the LM338T stay "relatively" warm at half its rated current?  what can I do to keep it cooler?  thanks.


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