Find the magnetic field at P due to the arrangement shown

Question

Find the magnetic field at P due to the arrangement shown (A) (μ0i/√2π d) (1-(1/√2)) otimes (B) (2μ0i/√2π d) otimes (C) (μ0i/√2π d) otimes (D) (μ0i/√2π d) (1+(1/√2)) otimes

Tardigrade Admin · Accepted Answer

B = 2[(μ0/4π), (i/d cos 45°) sin(-45°) + sin 90° ] (μ0i/√2π d) [-(1/√2)+1]. otimes

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

$\frac{μ _{0} i}{2 π d} (1 - \frac{1}{2}) \otimes$

$\frac{2 μ _{0} i}{2 π d} \otimes$

$\frac{μ _{0} i}{2 π d} \otimes$

$\frac{μ _{0} i}{2 π d} (1 + \frac{1}{2}) \otimes$

$B = 2 [\frac{μ _{0}}{4 π}, \frac{i}{d c o s 4 5 ^{\circ}} {sin (- 4 5^{\circ}) + sin 9 0^{\circ}}]$
$\frac{μ _{0} i}{2 π d} [- \frac{1}{2} + 1] . \otimes$

Q. Find the magnetic field at P due to the arrangement shown

2​πdμ0​i​(1−2​1​)⊗

2​πd2μ0​i​⊗

2​πdμ0​i​⊗

2​πdμ0​i​(1+2​1​)⊗