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.

Answer 1

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