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

Question

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" /> (A) R/4 (B) R/2 (C) 3R/8 (D) R/ 12

Tardigrade Admin · Accepted Answer

1 ,2 ,3 ,4 are at same potential; 5 ,6 ,7 ,8 are at same potential <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/f3a58e02e52603b3c3b23490aff69c8c-.png" /> Req = (R/4) + (R/8) = (3R/8)

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

$R /4$

$R /2$

$3 R /8$

$R /12$

$1, 2, 3, 4$ are at same potential; $5, 6, 7, 8$ are at same potential

$R_{e q} = \frac{R}{4} + \frac{R}{8} = \frac{3 R}{8}$

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

R/4

R/2

3R/8

R/12