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Question

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

A
Infinite
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B
2Ω
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C
1+52Ω
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D
Zero
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Solution

The correct option is C 1+52Ω
Suppose the effective resistance between A and B is Req. Since the network consists of infinite cell. If we exclude one cell from the chain, remaining network have infinite cells i.e. effective resistance between C and D will also Req.

So now Req=R0+(RReq)=R+RReqR+ReqReq=12[1+5]

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