Question

Find the total magnetic induction at point O due to current through curved portion and straight portion.

Answer 1

∴ Total magnetic induction at O

B₀ = \(\frac{\mu_0I}{4\pi r}(2\pi-2\phi) + \frac{\mu_0I}{4\pi r}2\ tan \ \phi\)

= \(\frac{\mu_0I}{2\pi r}[\pi - \phi \ + tan\phi]\)