WBJEE · Physics · Current Electricity
What will be the equivalent resistance between the terminals A and B of the infinite resistive network shown in the figure?
- A \(\frac{(\sqrt{3}+1) \mathrm{R}}{2}\)
- B \(\frac{(\sqrt{3}-1) R}{2}\)
- C \(3 \frac{R}{2}\)
- D \((\sqrt{3}+1) \mathrm{R}\)
Answer & Solution
Correct Answer
(D) \((\sqrt{3}+1) \mathrm{R}\)
Step-by-step Solution
Detailed explanation
Hint: \(x=2 R+\frac{R x}{R+x}\) \(x^{2}-2 R x-2 R^{2}=0\) \(x=(1+\sqrt{3}) R\)
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