Tough Bee

The figure above represents a wire of infinite bidimensional resistors. If each side of the hexagon has a resistance of R = 3 Ω R = \SI{3}{\ohm} , what is the equivalent resistance (in ohms) between the two terminals A A and B ? B? Submit your answer to 2 decimal places.


The answer is 2.00.

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1 solution

Swapnil Vatsal
Jun 26, 2017

Use principal of superposition. I can say that it is a superposition of two cases. One the case when we enter the current ( let us assume 1A) through one of the given pts. Then i can say it splits into 3 diff branches equally. Case 2 When we take out 1 A from the system we are effectively taken out 1/3 A from the given branch. If we add up the two we can see that a total of 2/3 A is passing through it. From here it becomes simple to find out the equivalent resistance i.e 2 ohm.

Note: the potential drop across those two pts is 2 V. We had entered 1 A. Hence resistance is 2 ohm.

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