Magnetic field due to currentHard

Question

A long straight wire along the z-axis carries a current i in the negative z-direction. The magnetic vector field at a point having coordinate (x, y) on the z = 0 plane is

Options

A.
B.
C.
D.

Solution

       
Magnetic field at P is , perpendicular to OP in the direction shown in figure
So, = B sinθ - B cosθ
Here, B =
sin θ = and cos θ =
=

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