Solve this question based on magnetic field of a finite straight wire

Eshan
4 years ago
We need to find the angles the lines OP and OQ form with OM. Let them beand, respectively.

From trigonometry,
and

Hence magnetic field at point O=

Khimraj
3007 Points
4 years ago

Magnetic field due to a wire of finite length is given by
B = (uoI/4$\pi$r)(sin$\Theta 1$ + sin$\Theta 2$)
where $\Theta 2$ is angle QOM
and $\Theta 1$ is angle POM
r is perpendicular distance
So B = (uoI/4$\pi$a)(3/5 + 4/5)
So B = (7/20)uoI/$\pi$a.