Question

Two infinite long current carrying wires A and B are placed as shown in figure. Each wire carries same current $I$ . The resultant magnetic field intensity at point P is

• A. $\frac{{\mu }_{0}I}{2\pi a}$
• B. $\frac{\sqrt{2}{\mu }_{0}I}{2\pi a}$
• C. $\frac{{\mu }_{0}I}{2\sqrt{2}\pi a}$
• D. $\frac{{\mu }_{0}I}{4\sqrt{2}\pi a}$

Answer 1

Answer: (A)

$B_A=B_B=\frac{{\mu }_{0}I}{2\pi \times \sqrt{2}a}$
So, $B=\sqrt{B_A^2+B_B^2}=\frac{{\mu }_{0}I}{2\pi a}$