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Seriously.. How much magnet mount area would it take to couple a xmtr to a ground? (Per frequency range) This might be a good thing..
If you want to pursue this:
Start by assuming what capacitive coupling (Xc) is needed. From this
Xc = 1/(6.28*freq*C) solve for C:
C = 1/(6.28*freq*Xc) or just pick a reasonable C.
From C = eA/d we can calculate the area A:
A = Cd/e.
Now we would need to assume or know the value of the dielectric coefficient of the paint and the paint thickness. Not a very hard calculation, but lots of assumptions.
I didn’t run any numbers but my off the top of my head guess is the area for 1600 kHz will be bigger than the typical vehicle rooftop. (This is what is known as guessineering).