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  4. A network of twelve resistances each of resistance R form a square of squares as shown in the figure. The outer square is fitted in a metal ring of negligible resistance. Find the resistance between centre of the square and the ring <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/d2813439275efda09c6f530f2ba5d0f7-.png />

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Q. A network of twelve resistances each of resistance $R$ form a square of squares as shown in the figure. The outer square is fitted in a metal ring of negligible resistance. Find the resistance between centre of the square and the ring
image

Current Electricity

Solution:

$1 ,2 ,3 ,4$ are at same potential; $5 ,6 ,7 ,8$ are at same potential
image
$R_{eq} = \frac{R}{4} + \frac{R}{8} = \frac{3R}{8}$