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  • An infinite sequence of resistance is shown in the figure. The resultant resistance between A and B will be, when  R1=1<img alt="\Omega" src="https://e

An infinite sequence of resistance is shown in the figure. The resultant resistance between A and B will be, when  R1=1\Omega and  R2 = 2 \Omega                                   

  

Option: 1

\infty


Option: 2

1 \Omega


Option: 3

2  \Omega


Option: 4

1.5  \Omega


Answers (1)

best_answer

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 2 R+R+2=R^{2}+2 R

\Rightarrow R^{2}-R-2=0 \Rightarrow R=-1 \text { or },

R=2 \text { ohm}

Posted by

Sayak

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