Looking at the voltage regulator....

From the data sheet, the unit draws 0.9W at 5V. Call it 200mA.

If you're running a 7805 regulating (call it) 12V down to 5V you will need to disipate (12V - 5V) * 0.2A = 1.4W which is not a small amount but with a halfway decent heatsink shouldn't be a problem.

Obviously you also have to allow for how much the active antenna draws too since it runs off the same 5V supply.
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Christian
#40104192 120Gb (no longer in my E36 M3, won't fit the E46 M3)