titantitan said:
How does the circuit not flow to ground initially? I mean how does it detect that the path has less resistance?
You have not specified whether you are referring appliance, motor type that you have separate wire for ground or what. I am concentrate on electronic circuits on pcb and system. If you have discrete wires, the signal follow the wire. I take that when you ask how the circuit flow to the ground initially, I take that you have a ground plane...and with that:
Ground is part of the circuit. As I said, don't think ground, think signal return. It is very important to have this mind set.
You are getting into a very complicated subject. To say in very simple terms, for AC signal particular higher frequency and for STEADY STATE,
we call the return path "image current" where the path is chosen to minimize the loop area of the signal loop. This is electromangetics. I cannot answer your question without going very deep. This is the main part of predicting emission or EM radiation from circuit. For very initial condition at t=0, I don't even know and we actually had a debate as how the current even take on the path of minimum loop area or " path of least inductance".
One important thing, in the straight sense, unless the signal is a NON VARYING, signal does not travel in form of current and voltage,
it is the EM wave that is propagate down the wire or trace. The current and voltage are ONLY the consequence of the boundary condition of the EM wave. Books that talk about circuits only looking at the result of the EM theory as current and voltage are much easier to measure. Remember, electrons move very slow in good conductor, if you can label one electron and injects into one end of a wire few feet long and put a voltage across the two end of the wire. After you inject the electron, you can go get a cup of coffee, come back and maybe the electron will come out from the other end! It is not the current that travel at all, if it is the current and voltage that travel, circuits will be so slow that they would be completely useless.
That is the reason it takes a lot of theory to predict how the image current take on the path. It is not necessary to take on the path of least resistance. I can meander the trace on top of the ground plane and make the image current go on fancy route as will.
Again, I am not helping your question at all. The only answer I gave is in bold letters above. I am not going to answer you a question by a simplified way to miss lead you something like a path of least resistance. If you refer to motor and appliances that have separate wire for signal and return, of cause it follow the wire even though it is EM wave if it is not DC. I rather see you not have the answer and knowing that the answer is out there. Be encourage that at least you are the very few that actually have the presence to even ask. Most of the students just take ground as a triangular symbol that some how magically complete the circuit.
The first pass answer is in the EMC book and you have to take the time to read it. Then when you study EM theory later, you will really understand this. Just remember you are doing good.