Current Electricity Charging Discharging Of Capacitors Question 660

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.

Options:

A) R/4

B) R/2

C) 3R/8

D) R/12

Show Answer

Answer:

Correct Answer: C

Solution:

[c] 1, 2, 3, 4 are at same potential; 5, 6, 7, 8 are at same potential. $ R _{eq}=\frac{R}{4}+\frac{R}{8}=\frac{3R}{8} $