audioguru, you seem to be agitated. I design products for the real world, not as a hobbyist, so I can tell you that proven application backs up what I have told you. I see this attitude a lot in the hobbyist world. A guy wants to make sure he will get all the current he needs for a project, so he buys a BIG transformer just to be sure. But he is not getting more current by doing this. In fact, he is just dissipating the excess voltage as heat. That regulator is not turning that extra voltage into current. The extra is turned into heat. Nothing else. No other benefit.
If the regulator spec sheet says you need 3 volts more input than output, there is no reason to give the regulator more.
You save money with a smaller transformer and you save money with not having to purchase a heat sink.
I am sure you will not be convinced of anything here, but since others will also read this and can learn, let's start with the basics:
The regulator gets hot because it regulates the energy delivered to its load. A linear regulator drops an input voltage to a lower, regulated output, while conducting a current nearly equal to the load current. It must dissipate the excess energy, which is:
Pd = (Vin - Vout)*Iout (Pd is in Watts)
We see from the spec sheet the regulator needs 3 volts. We calculate Pd=(3volts) * 1/2 amp, which is 1.5 Watts.
This energy is dissipated in the form of heat - the regulator die heats up above the ambient temperature with a temperature rise that's proportional to the power dissipated, and to the thermal resistance from inside the die to the ambient environment. This formula is:
Trise = Pd*ThetaJA (ThetaJA is in degC/Watt). For this regulator, ThetaJA is 50 degrees. Thus, Trise = 1.5watts * 50, which equals 75 deg. C. This regulator has a MAX of 125 deg C. in which it shuts down to protect itself from heat over load. Our spec is a little over half of the manufacturer's Max spec. I am not worried about problems with this temperature. It will be hot to the touch and will burn your finger, but it is well within spec.
(by the way, 1 full Amp only brings you a little above the spec. Only a small heat sink needed)
I hope that others can take note of what I am saying here for their design work. You save money not having to buy a heat sink. You save money not having to buy a bigger transformer. And you are not generating a lot of heat that might affect other things in your project. You also benefit from having a smaller package in your design with no bulky heat sinks added. Good design work.
Now you have the formula. Do the math and determine if you really need the heat sink. Think twice about that big transformer.
MP