Question

Find the magnetic field at $P$ due to the arrangement shown

• A. $\frac{\mu_{0}i}{\sqrt{2}\pi d} \left(1-\frac{1}{\sqrt{2}}\right)\otimes$
• B. $\frac{2\mu_{0}i}{\sqrt{2}\pi d} \otimes$
• C. $\frac{\mu_{0}i}{\sqrt{2}\pi d} \otimes$
• D. $\frac{\mu_{0}i}{\sqrt{2}\pi d} \left(1+\frac{1}{\sqrt{2}}\right)\otimes$

Answer 1

Answer: (A)

$B = 2\left[\frac{\mu_{0}}{4\pi}, \frac{i}{d\,\cos\,45^{\circ}}\left\{\sin\left(-45^{\circ}\right) + \sin \,90^{\circ}\right\}\right]$
$\frac{\mu_{0}i}{\sqrt{2}\pi d} \left[-\frac{1}{\sqrt{2}}+1\right].\otimes$