First slide

Magnetic field due to a current carrying circular ring

Question

An arc of a circle of radius R subtends an angle $\frac{π}{2}$ at the centre. It carries a current i. The magnetic field at the centre will be

Moderate

A

$\frac{μ_{0} i}{2 R}$
B

$\frac{μ_{0} i}{8 R}$
C

$\frac{μ_{0} i}{4 R}$
D

$\frac{2 μ_{0} i}{5 R}$

Solution

$B = \frac{μ_{0}}{4 π} \frac{θi}{r} = \frac{μ_{0}}{4 π} \times \frac{π}{2} \times \frac{i}{R} = \frac{μ_{0} i}{8 R}$

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