Question

Two perpendicular infinite wires are carrying current $i$ as shown in the figure. The magnetic field at point $P$ is:

• A. $\frac{{\mu }_{0}I}{\pi d}$
• B. $-\frac{{\mu }_{0}I}{2\pi d}$
• C. $\frac{{\mu }_{0}I}{2\pi d}$
• D. Zero

Answer 1

The correct option is D Zero

$B_1=\frac{{\mu }_{0}I}{2\pi y}$
$B_2=\frac{{\mu }_{0}I}{2\pi x}$
$B=\frac{{\mu }_{0}I}{2\pi y}-\frac{{\mu }_{0}I}{2\pi x}=0$
$x=y=d$