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Q.

An infinite ladder network of resistances is constructed with 1Ω and 2Ω resistances as shown

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a

Current through 2Ω resistor nearest to battery is 3 A

b

Effective resistance between A & B is 2Ω

c

Current through 2Ω resistor nearest to battery is 6 A

d

Effective resistance between A & B is 1Ω

answer is B, C.

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Detailed Solution

Let the effective resistance of the infinite network be x, then equivalent circuit is 

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⇒x=(x+1)22+x+1

x=1Ω;

i=VR=61=6A

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