Question

A uniform wire has resistance $24\Omega$. It is bent in the form of a circle. The effective resistance between the end points on any diameter of the circle is

• A. $6\Omega$
• B. $12\Omega$
• C. $3\Omega$
• D. $24\Omega$

Answer 1

The correct option is A $6\Omega$

Given, $X=3$. 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.
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 $R=6\Omega$