I wanted to ask can i supply my arduino uno r3 at the power jack with 12v 2a and dc current ?
Yes. Be aware of the implications that the 5V output in that case can only supply limited current. 9V would be a better choice.
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It will only "pull" or "draw" the current that it needs. (Ohm's Law)
With a regular power supply, the voltage is fixed (and usually tightly regulated) and the current rating is the maximum you can get from it. With nothing connected the voltage is present but no current flows.
It's the same with the power in your house... Voltage is always present at the power outlet and the mount of current depends on what (if anything) is plugged-in and turned-on. If you plug-in too many high-wattage appliances , you get excess current and the circuit breaker blows, cutting-off the voltage.
From what I recall, the Arduino by itself draws about 60mA (depending on how many LEDs are on, etc.).
The on-board 5V voltage regulator can overheat if you connector other things draw too much current through it. It gets a little "fuzzy" because it also depends on how much voltage you "drop" across the regulator. Power (directly related to heat) is calculated as Voltage x Current, and the higher the applied voltage, the more voltage is dropped across the regulator. It's a combination of voltage & current that heats-up the regulator.
I've got an Arduino Uno in vehicle (12V) and the only thing "additional" to the Arduino itself is 7 LEDs, and it's been fine for a few years.
I tried putting 12v on a mega and it got toasty. Is your system running at 12v or 13.4? I'm curious about your setup.
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