A wire of length L carrying a current I is bent into a circle. The magnitude of the magnetic field at the centre of the circle is

Question

A wire of length L carrying a current I is bent into a circle. The magnitude of the magnetic field at the centre of the circle is, πμ 0 I L, μ 0 I 2 L, 2 πμ 0 I L, μ 0 I 2 πL

MARKS App · Accepted Answer

Length L = circumference of circle = 2 πR ⇒ R = L 2 π ∴ Magnetic field at the centre of circular current loop is B = μ 0 I 2 R = μ 0 I 2 L × 2 π B = μ 0 πI L

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