Resistance of a bent wire – Rankers Physics
Topic: Current Electricity
Subtopic: Combination of Resistors

Resistance of a bent wire

A wire of resistance \(12\text{ }\Omega\) is bent to form a circle. The equivalent resistance between two diametrically opposite points will be
\(3\text{ }\Omega\)
\(6\text{ }\Omega\)
\(12\text{ }\Omega\)
\(18\text{ }\Omega\)

Solution:

Bending the wire into a circle divides it into two halves of equal resistance \(6\text{ }\Omega\) in parallel between diametrically opposite points. The equivalent resistance is \(R_{\text{eq}} = \frac{6 \times 6}{6 + 6} = 3\text{ }\Omega\).

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