For my example I think a reasonable solution would be, adding a 1Ohm resistor that can handle such power.
Adding resistance, is one way, you can also add capacitance, or inductance. They have a nice property where their effective resistance is dependant on the frequency of the current/voltage... so a sudden burst of EMF with a very high rise and fall would treat the inductor as a really high value resistor, or a capacitor as a very very low resistor. This allows you to mitigate or redirect these kinds of things to ground.Allowing the power source to compensate.
Now as far as the resistance of the circuit is concerned.. this is where I get hung up a little..
1 foot of 24 gauge wire will have almost 0.03Ω of resistance, any components in-line will increase the circuit's resistance even further. Can you give me an example of how you are thinking a circuit would be less than an ohm? (Only thing I can think of is multiple parallel components... and all the components get exposed to EMF while the power supply portion does not.)