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  4. Resistance of each part is 'R' and resistance of circumference is negligible as shown in figure. The equivalent resistance across AB is (3 R/α ). Fill the value of α . <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-j2aqsznoojtyladj.jpg />

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Q. Resistance of each part is $'R'$ and resistance of circumference is negligible as shown in figure. The equivalent resistance across $AB$ is $\frac{3 R}{\alpha }.$ Fill the value of $\alpha .$
Question

NTA AbhyasNTA Abhyas 2022

Solution:

Solution
Resistance of each part is $R$
Using symmetry
$R_{e q}=\frac{R}{8}+\frac{R}{16}=\frac{3 R}{16}$