Question

Two infinite length wires carries currents 8A and 6A respectively and placed along X and Y-axis. Magnetic field at a point P(0,0,d)m will be

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

Magnetic field due to P due to wire 1, $B_1=\frac{{\mu }_0}{4\pi }.\frac{2\left(8\right)}{d}$


and due to wire 2, $B_2=\frac{{\mu }_0}{4\pi }.\frac{2\left(6\right)}{d}$
$\Rightarrow B_{net}=\sqrt{B_1^2+B_2^2}$
$=\sqrt{{(\frac{{\mu }_0}{4\pi }.\frac{16}{d})}^2+{(\frac{{\mu }_0}{4\pi }.\frac{12}{d})}^2}$
$=\frac{{\mu }_0}{4\pi }\times \frac{2}{d}\times 10=\frac{5{\mu }_0}{\pi d}$