Self inductance of a bent coil – Rankers Physics
Topic: Electromagnetic Induction
Subtopic: Self Induction

Self inductance of a bent coil

A coil of \(\text{Cu}\) wire (radius \(r\), self inductance \(L\)) is bent in two concentric turns each having radius \(\frac{r}{2}\). The self-inductance now is:
\(2L\)
\(L\)
\(4L\)
\(\frac{L}{2}\)

Solution:

Self-inductance of a coil is \(L \propto N^2 r\). When bent into \(2\) turns of radius \(r/2\), new self-inductance is \(L' \propto (2)^2 (r/2) = 2 L\).

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