First slide
Magnetic field due to a straight current carrying wire
Question

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

Moderate
Solution

See fig B will be perpendicular to [x i + yj)  

we know that B =μ0i2π×1r
 B=μ0i2π×(yixj)x2+y2

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