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The resistance between the terminal poin...

The resistance between the terminal points A and B of the given infinitely long circuit will be-

A

`(sqrt(3)-1)`

B

`(1-sqrt(3))`

C

`(1 + sqrt(3))`

D

`(2 + sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
C
`R = 2 + R/(R+1)`

`= R^(2) + R = 2R + 2 + R`
`rArr R^(2) - 2R - 2=0`
`R = (2 + sqrt(4 + 8)/2) = 1+ sqrt(3)`
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