Rotate the Resistances

Electricity and Magnetism Level 3

Find the resistance between terminals A A and B B .

R = 1 Ω R=1 \Omega .

Give your answer, by correcting it to three decimal places.

Note : The ladder follows the same pattern as is shown.


The answer is 0.732.

Abhay Tiwari by Abhay Tiwari , 28, India

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1 solution

Let the total effective resistance be N N .Then we have N = 1 R + 1 2 R + N N=\frac{1}{R}+\frac{1}{2R+N} . Solving, N = 3 − 1 = 0.732 N=\sqrt{3}-1=0.732 .

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Could you please brief it out ?

Alan Joel - 4 years, 10 months ago

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