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The equivalent resistance of the combina...

The equivalent resistance of the combination across AB is .

A

`((3+sqrt(17))/4)`

B

`3+sqrt(17)`

C

`(3+sqrt(17))/2`

D

`2(3+sqrt(17))`

Text Solution

Verified by Experts

The correct Answer is:
A
a. The equivalent circuit can be redrawn as shown in Figure.

Let `R = (2R xx 2)/(2R + 2) + 2 = (2R)/(R+1) + 2`
or `R = (2R+2R+2)/(R+1) = (2+4R)/(R+1)`
` R^2 - 3R - 2 or R = (3+(sqrt(17)))/(2)`
`R_(AB) = R/2 = (3+sqrt(17))/4` .
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