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

Question

Infinity Learn · Accepted Answer

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.

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

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