First slide

Magnetic field due to a straight current carrying wire

Question

Two infinitely long, thin, insulated, straight wires lie in the x-y plane along the x and y-axes. Each wire carries a current I, respectively; in the positive x-direction and positive y-direction. The magnetic field will be zero at all points on the straight line

Moderate

A

y = x
B

$y = - x$
C

$y = x - 1$
D

$y = - x + 1$

Solution

If a wire carries current along positive x-axis, then the magnetic field due to it along the line y = x in first quadrant is upwards. If a wire carries current along positive y-axis, then the magnetic field due to it along the line y = x in first quadrant is downwards.
Along the line y = x, above two values of magnetic field are equal in magnitude but opposite in direction and thus, their resultant is zero.

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