Question

Two very long, straight, and insulated wires are kept at $90^{\circ}$ angle from each other in $xy$ - plane as shown in the figure. These wires carry currents of equal magnitude $I$, whose directions are shown in the figure. The net magnetic field at point $P$ will be :

• A. $Zero$
• B. $\frac{+ \mu_{0}I}{\pi d} \left(\hat{z}\right)$
• C. $- \frac{\mu_{0}I}{2\pi d} \left(\hat{x} +\hat{y}\right)$
• D. $\frac{\mu_{0}I}{2\pi d} \left(\hat{x} + \hat{y}\right)$

Answer 1

Answer: (A)

$Zero$

Answer 2

Magnetic field at point $P$
$\vec{B}_{net } = \frac{\mu_{0} i}{2\pi d} \left(-\hat{k}\right)+ \frac{\mu_{0} i}{2\pi d} \left(\hat{k}\right) = 0$