Question

Two resistances are connected in parallel if... . The volts in each terminal is the same. None There's no third element connected to the loop that joins them They are connected between the same two nodes

Answer 1

Consider the circuit shown in below. in ? R In the above circuit, the resistors R and R, are connected in parallel. Assume R, = 4 12, R, = 612, I = 10 A (source current)( parallel resis tance) current division rule I = total resis tance Apply current division rule to find current through R,. 1. - 10 A(612) = 6 A 1R 1012 Find voltage across R, V ra = 1x R2 = (6 A)(42) = 24 V Apply current division rule to find current through Rz. 10A(492) 12 = =4 A 1022 Find voltage across R, VR. = I x R2 = (4 A)(612) = 24 V The voltages Ve = VR, Therefore, the volts in each terminal is same if the two resistances are connected in parallel.

Consider the circuit. There is a short circuit path between the two elements no other element is connected. Therefore, there is no third element connected to the loop that joins them. There is a short circuit path between the two nodes. And the voltage is same. Hence, it treated as a single node. Therefore, they are connected between the same node.