Question
Two very thin metallic wires placed along $X$ and $Y$-axis carry equal currents as shown here. $AB$ and $CD$ are lines at $45^\circ $ with the axes with origin of axes at $O$. The magnetic field will be zero on the line
✓
Answer
(a) Every point on line $AB$ will be equidistant from $X $ and $Y$-axis. So magnetic field at every point on line $AB$ due to wire $1$ along $X$-axis is equal in magnitude but opposite in direction to the magnetic field due to wire along $Y$-axis. Hence ${B_{net}}$ on $AB = 0$
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