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An infinite ladder network is constructe...

An infinite ladder network is constructed with `1Omega `and `2Omega` resistors as shown. Find the equivalent resistance points `A` and `B`.

A

`1Omega`

B

`2Omega`

C

`3Omega`

D

`5//8Omega`

Text Solution

Verified by Experts

The correct Answer is:
B

`x=(2x)/(x+2) +1`

`x^(2) +2x =2x+x+2`
`x^(2) -x -2 =0`
`(x-2) (x+1)=0`
`x=2Omega`
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