. Which of the following


Which of the following combinations have the same equivalent resistance between X and Y?

Combinations

Best Answer

The resistors are connected in parallel in figure (a) between X and Y

Let R’ be their equivalent resistance

Now, 1 / R’ = 1 / 2 + 1 / 2

= 2 / 2 ohm or

R’ = 1 ohm [1]

A series combination of two 1 ohm resistors is in parallel with another series combination of two 1 ohm resistors in figure (d)

Series resistance of two 1 ohm resistors,

R = (1 + 1) ohm

R = 2 ohm

Therefore we can say that 2 ohm resistors are connected in parallel across X and Y

Let R’ be the net resistance across X and Y.

Then, 1 / R’ = 1 / 2 + 1 / 2

1 / R’ = 2 / 2 ohm or

R’ = 1 ohm [2]

Thus it is clear from equation [1] and [2] that the figures (a) and (d) have the same equivalent resistance between X and Y.

 

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