Resistance of a Circular Wire

Electricity and Magnetism Level 1

A wire of $10$ $\Omega$ is bent to form a circle. Find its resistance between two diametrically opposite points.

2.5 5 0 10

1 solution

A Former Brilliant Member
Mar 11, 2018

Let $ABCDA$ be the wire of resistance $10$ $\Omega$ . We have to calculate the resistance between, say $A$ and $C$ . The wires $ADC$ and $ABC$ will have resistances $5$ $\Omega$ each.

These two are joined in parallel between $A$ and $C$ .

Therefore, $R =$ $\frac{5 \times 5}{5 + 5}$ $=$ $2.5$ $\Omega$

Resistance of a Circular Wire

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