1.

Same current i is flowing in the three infinitely long wires along positive x-,y- and z-directions. The magnetic filed at a point (0,0,-a) would be

Answer» The point `(0, 0, -a)` lies on z-axis. Therefore the magnetic field induction at the given point due to current along z-axis is zero.
The magnetic field induction due to current along x-axis at the given point is `vecB_x=(mu_0)/(4pi)I/ahatj`
The magnetic field induction due to current along y-axis at the given point is
`vecB_y=(mu_0)/(4pi)I/a(-hatj)`
`:.` Total magnetic field induction,
`vecB=vecB_x+vecB_y=(mu_0)/(4pi)I/a(hatj-hati)`


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