A uniform wire of resistance 36 ohm is bent in the form of a circle. The effective resistance across the points A and B is

Question

A uniform wire of resistance 36 ohm is bent in the form of a circle. The effective resistance across the points A and B is (A) 5 Ω (B) 15 Ω (C) 7.2 Ω (D) 30 Ω

Tardigrade Admin · Accepted Answer

Let R be the resistance of total length of circular wire then R=36 Ω. The resistance of smaller arc A B R1=R / 6=36 / 6=6 Ω The resistance of bigger arc A B R2=5 R / 6=5 × 36 / 6=30 Ω Now, R1 and R2 are in parallel in between points A and B. So, effective resistance between A and B =(6 × 30/6+30)=5 Ω

Q. A uniform wire of resistance 36 ohm is bent in the form of a circle. The effective resistance across the points $A$ and $B$ is

$5 Ω$

$15 Ω$

$7.2 Ω$

$30 Ω$

Q. A uniform wire of resistance 36 ohm is bent in the form of a circle. The effective resistance across the points A and B is

5Ω

15Ω

7.2Ω

30Ω

Q. A uniform wire of resistance 36 ohm is bent in the form of a circle. The effective resistance across the points $A$ and $B$ is

$5 Ω$

$15 Ω$

$7.2 Ω$

$30 Ω$