What if the incoming current at one node not equal to the other, does the resistance in branch still parallel.
closed as unclear what you're asking by Emilio Pisanty, user36790, John Rennie, ACuriousMind♦, Norbert Schuch Jan 20 '16 at 21:43
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The currents will be the same.
Using Kirchoff's current law, the total current going out of any node or any closed contour is 0.
Suppose you have two resistances connected in parallel between nodes A and B. Draw a circle around the parallel resistances. The total current going out of the circle is 0. So outgoing current at A + outgoing current at B = 0. In other words outgoing current at A = incoming current at B.
Or you can do kirchoff's law separately at nodes A and B. Either way, the outgoing current =incoming current.
EDIT: Don't know if I misunderstood the question. But when we say resistances in parallel, we mean all the resistors are connected at one end and the other. So the incoming and outgoing currents have to be the same.