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Q.

The equivalent resistance between points A and B of an infinite network of resistance each of  1Ω connected as shown is

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a

2Ω

b

zero

c

1+52

d

infinite

answer is D.

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Detailed Solution

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RAB=R+R×RABR+RAB

RAB=1+1×RAB1+RAB

RAB1+RAB=1+2RAB

RAB+RAB2=1+2RAB

RAB2-RAB-1=0

+1±1+42=1+52

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