Q. A uniform wire has resistance 24$\ \Omega$. It is bent in the form of a circle. The effective resistance between the two end points on any diameter of the circle is
A) 6$\ \Omega$
B) 12$\ \Omega$
C) 3$\ \Omega$
D) 24$\ \Omega$
Explanation
(a) Given, resistance of uniform wire=24$\Omega$.
When the wire is bent in the form of a circle, then resistance will divide the wire in two equal at opposite point in parallel
[image:3_image184.jpeg]
The effective resistance between the two end points on any diameter of the circle.
$\ \ \ \ \ \ \ R = \frac{12 \times 12}{12 + 12}$
$or\ \ \ R = \frac{144}{24}$
$or\ \ \ \ R = 6\Omega$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.