Question

A wire of 10 ohms resistance is bent to form a circle. Find the effective resistance between two point at the two ends of any diameter of the circle

Answer 1

Answer:

Effective resistance is 2.5 ohms

Explanation:

The resistance across a diameter of the circle is 2.5 ohms.

It is given that, a wire of resistance 10 ohm is bent to form a close the circle. We need to find the resistance across a diameter of the circle.

When it is bent, the ends of the diameter are considered then the resistor will get split up into  and they will be now in parallel. The equivalent is given by :

$\dfrac{1}{R}=\dfrac{1}{5}+\dfrac{1}{5}\\\\R=2.5\ \Omega$

So, the resistance across a diameter of the circle is 2.5 ohms. Hence, this is the required solution.