Question

Two long parallel wires are separated by a distance of 2 m and carry current 2 A each in opposite directions. The magnitude of magnetic field at point P between the conductors is

• A. $\frac{{\mu }_0}{\pi }T$
• B. Zero
• C. $\frac{{\mu }_0}{2\pi }T$
• D. $\frac{2{\mu }_0}{\pi }T$

Answer 1

The correct option is D $\frac{2{\mu }_0}{\pi }T$

Field due to the first wire at point $P=\frac{{\mu }_{0}I}{2\pi d}=\frac{{\mu }_0\times 2}{2\pi \times 1}=\frac{{\mu }_0}{\pi }T$
Field due to the second wire, $B_2=\frac{{\mu }_0}{2\pi }\times \frac{2}{1}=\frac{{\mu }_0}{\pi }T$
Let the net field at point P due to both the wires be $B_p$
$B_P=B_1+B_2=\frac{{\mu }_0}{\pi }+\frac{{\mu }_0}{\pi }=\frac{2{\mu }_0}{\pi }T$
Hence, the correct answer is option (4).