A) Infinity
B) \[1\,\Omega \]
C) \[2\,\Omega \]
D) \[1.5\,\Omega \]
Correct Answer: C
Solution :
Let the resultant resistance be R. If we add one more branch, then the resultant resistance would be the same because this is an infinite sequence. \[\therefore \frac{R{{R}_{2}}}{R+{{R}_{2}}}+{{R}_{1}}=R\Rightarrow 2R+R+2={{R}^{2}}+2R\] \[\Rightarrow {{R}^{2}}-R-2=0\Rightarrow R=-1\] or \[R=2\,ohm\]You need to login to perform this action.
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