Two very thin metallic wires placed along X and Y-axis carry equa… - Vidyadip

MCQ

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

✓
$AB$
B
$CD$
C
Segment $OB$ only of line $AB$
D
Segment $OC$ only of line $CD$

✓

Answer

Correct option: A.

$AB$

a
(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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