49

Asked by royamisha521 | 26th May, 2020, 10:44: AM

Expert Answer:

Equivalent resistance is Req 
 
R subscript e q end subscript space equals space 2 r space plus thin space fraction numerator r R subscript e q end subscript over denominator r plus R subscript e q end subscript end fraction space
open parentheses r space plus space R subscript e q end subscript close parentheses R subscript e q end subscript space equals space 2 r squared space plus space 2 r R subscript e q end subscript plus space r R subscript e q end subscript
r R subscript e q end subscript plus R subscript e q end subscript squared space equals space 2 r squared space plus space 2 r R subscript e q end subscript plus space r R subscript e q end subscript
R subscript e q end subscript squared space minus space 2 r R subscript e q end subscript space minus space 2 r squared space equals space 0
R subscript e q end subscript space equals fraction numerator 2 r space plus-or-minus square root of 4 r squared plus 8 r squared end root over denominator 2 end fraction space
R subscript e q end subscript space equals space fraction numerator 2 r plus space 2 r square root of 3 over denominator 2 end fraction space equals space r open parentheses 1 plus square root of 3 close parentheses

Answered by Shiwani Sawant | 26th May, 2020, 08:11: PM