Physics - Magnetism Question with Solution | TestHub

The magnetic field produced by a long straight wire carrying current $I$ at a distance $r$ is given by $B=\frac{{\mu }_{0}I}{2\pi r}$.

Let the two wires be wire 1 and wire 2. The point P is midway between the two wires, so the distance from each wire to point P is $r=10$ cm.

The magnetic field at P due to wire 1 is $B_1=\frac{{\mu }_{0}I}{2\pi r}$.

The magnetic field at P due to wire 2 is $B_2=\frac{{\mu }_{0}I}{2\pi r}$.

Since the currents in both wires are in the same direction, the magnetic field vectors produced by them at the midpoint P will be equal in magnitude but opposite in direction (according to the right-hand thumb rule).

Therefore, the net magnetic field at the midpoint P is $B_{net}=B_1-B_2=0$.

Answer: zero.