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Question
Find the magnetic field B due to a semicircular wire of radius 10.0 cm carrying a current of 5.0 A at its centre of curvature.
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Solution
Given:
Magnitude of current, I = 5 A
Radius of the semi-circular wire, r = 10 cm
∴ Required magnetic field at the centre of curvature
\[B = \frac{1}{2} \times \frac{\mu_0 i}{2r}\]
\[ = {10}^{- 7} \times \frac{5}{10 \times {10}^{- 2}}\]
\[ = 5\pi \times {10}^{- 6} \]
\[ = 1 . 6 \times {10}^{- 5} \] T
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