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What is the magnetic field at the centre of a single circular loop of radius \(R\) carrying current \(I\)?

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Question

What is the magnetic field at the centre of a single circular loop of radius \(R\) carrying current \(I\)?

Options

  • \(B_0=\frac{\mu_0 I}{2R^2}\)

  • \(B_0=\frac{\mu_0 I R}{2}\)

  • \(B_0=\frac{\mu_0 I}{2R}\)

  • \(B_0=\frac{\mu_0 I}{R}\)

MCQ
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Solution

At the centre, the axial distance is \(x=0\). Substituting this into the axial field formula simplifies it to \(B_0=\frac{\mu_0 I}{2R}\).

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