Question

Determine the magnetic field at point P located a distance x from the corner of an infinitely long wire bent at right angle as shown in figure.The wire carries a steady current $i$.

Answer 1

Magnetic field due to horizontal wire is zero.

Magnetic field due to vertical is:
$B=\frac{{\mu }_o}{4\pi }\frac{i}{x}(sin{90}^o+sin{0}^o)$

$=\frac{{\mu }_o}{4\pi }\frac{i}{x}$ (inwards)