Senior Member
201018-1444 EDT

At a point in a network the sum of all the instantaneous currents from all paths at that point are zero. You can not replace instantaneous with RMS or average, and have that statement necessarily hold true. Also note that RMS is a type of average.

Not understanding this basic fact resulted in one very long thread.

In a different set of words the same concept exists for voltage. Here it is around a closed loop rather than a point.



Senior Member
201019-1717 EDT

My next step in this story is:

Center tapped single phase supply. This means on the secondary side we have two phases that are 180 degrees apart.

If phase 1, L1 to neutral, is loaded with a 10 A resistive load, and phase 2, L2 to neutral, is loaded with a high quality capacitor drawing 10 A, then both load currents are sine waves. What is the wave shape of the neutral current, its phase angle relative to the L1 to neutral voltage, and its magnitude? Its magnitude is not zero.



Senior Member
Springfield, MA, USA
Electric motor research
Start with just the resistive load connected. The L1 current is 10A at 0° out of the L1 terminal and 0° into the N terminal. (Or 180° out of the N terminal.

Now consider only the capacitor load connected. The L2 current is 10A at 90° out of the L2 terminal and 90° into the N terminal.

The total N current is sinusoidal, 14.1A, 45° into the N terminal.