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The equivalent resistance between points  and  of an infinite network of resistances each of  connected as shown in figure, is

a)

Infinite

b)

Zero

c)

d)



Question ID - 151384 | SaraNextGen Top Answer

The equivalent resistance between points  and  of an infinite network of resistances each of  connected as shown in figure, is

a)

Infinite

b)

Zero

c)

d)

1 Answer
127 votes
Answer Key / Explanation : (d) -

(d)

The  be the total resistance of infinite network of resistance connected to points  and . Therefore the addition of one step of resistances in the infinite network of resistances will not change the total resistance  of the network. Therefore equivalent circuit will be as shown in figure. Then total resistances between ’ and ’ is  given by

or

Since negative value of  is not possible

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