Question

A current of 6 A passes through the wire shown in the Figure. Find the magnitude of magnetic field at point C. The radius is 0.02m μ₀ = 4π x 10⁻⁷T m A⁻¹.

Answer 1

we know , magnetic field due to circular arc of radius , r , angle $\theta$ and current passing through it is i is given by
$\qquad\qquad\bf{B=\frac{\mu_0i}{4\pi r}[\theta]}$

here, $\mu_0$ = 4π × 10⁻⁷T m A⁻¹, $\theta$=3π/2
i = 6A , r = 0.02m

so, B = (4π × 10⁻⁷ × 6)/(4π × 0.02) × 3π/2
B = 6 × 3π × 10⁻⁷/(0.02 × 2)
B = 4.5π × 10⁻⁵T