A current loop, having two circular arcs joined by two radial lines is shown in the figure. It carries a current of 10 A. The magnetic field at point O will be close to:

Engineering

Physics

Magnetic Field

Question

1.0 × 10^–5 T

1.5 × 10^–7 T

1.5 × 10^–5 T

1.0 × 10^–7 T

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Magnetic field at centre of an area subtending angle θ at the centre $\frac{μ_{0} I}{4 πr} θ .$

$B = (\frac{μ_{0}}{4 π}) \times 10 (\frac{1}{3 \times 10^{- 2}} - \frac{1}{5 \times 10^{- 2}}) \frac{π}{4}$

$= B = \frac{π}{30} \times 10^{- 4} = \frac{π}{3} \times 10^{- 5} \approx 10^{- 5}$