A) \[\frac{(1+\sqrt{5})}{2}r\]
B) \[\frac{(1-\sqrt{5})}{2}r\]
C) \[\frac{(\sqrt{3}+1)}{2\sqrt{3}}r\]
D) \[\frac{(\sqrt{7}+1)}{\sqrt{3}}r\]
Correct Answer: A
Solution :
Redrawing the resistance connection The equivalent resistance \[R=r+\frac{rR}{r+R}\Rightarrow {{R}^{2}}-rR-{{r}^{2}}=0\] \[\Rightarrow \] \[R=\frac{r+\sqrt{{{r}^{2}}+4{{r}^{2}}}}{2}=\frac{(1+\sqrt{5})}{2}r\]You need to login to perform this action.
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