110710-1305 EDT
EEC:
If I have a voltage source, could be a battery, wires from the source to a load, could be a simple resistor, then I have a single loop. When that circuit is closed, wires connected to the voltage source and the load, then a current flows in that loop.
Connect one terminal of a second battery to one terminal of the first battery. No current flows in the second battery and you have not changed the current flow in the first battery.
Your question 1. The answer to your first question is no because there is no current flow in the other half of the 230/115 supply. But I do not believe you asked the question you wanted to ask.
Your question 2. I do not understand the question.
It seems that in some way you are asking about the instantaneous relationship of voltage and current in several types of circuits.
If you consider a single loop of a voltage and load resistance, then the current is always exactly proportional to voltage. When the voltage is zero the current is zero. When the voltage is peak positive, then the current is peak positive, and for peak minus voltage the current is peak minus.
In a single phase supply with a center tapped transformer you have two hot output voltages relative to the center tap and these are of opposite polarity, but of the same magnitude, at any instant of time. Whether the center tap is grounded or at 1,000,000 V DC does not change the statement because the statement is relative to the center tap.
Change the reference point to one end of the secondary, then the two voltages are in phase with each other, but one is 1/2 the value of the other.
To have current flow you need a closed loop. You can have multiple loops overlap each other as in the case of the center tapped secondary from the power company. Here you have a feeder neutral that is common to both loops.
Your question 3. If you pick two hot wires of a three phase circuit, Y or delta, these are the equivalent of a single phase voltage source and you don't care about the other phases unless you are concerned about voltage to ground, or load current from the other phases. The other phases could affect your phase if they had loads, but no load on the others and your phase just looks like a single phase supply.
Your question 4. You can speak of current flow, but no single electron starts at one end of the voltage source and instantaneously flows to the other voltage source terminal. Electrons bounce around in the wire and there is an energy flow that in many cables is about 0.7 times the velocity of light.
In a CAT-5 cable it takes time for a signal to travel from one end to the other. I show this time delay in photos at my web site
http://www.beta-a2.com/cat-5e_photo.html
If you do a calculation using data from Photo P3, then 1.5 microseconds at 1000 ft produces a velocity of 126,262 miles per hour. This is 0.678 time the velocity of light.
If I look at something like a cathode ray tube, then I do have a direct flow of electrons from the emitting cathode to the CRT face. These do have a transit time much slower than the velocity of light. The velocity of light is 186,000 miles per second. The transit time is a function of the accelerating voltage, and problems with this transit time in vacuum tubes occurs in the region of 1000 MHz.
Suggested references would be books on basic electrical circuit analysis. Start with DC.
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