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
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a
μ0i2π(yi−xj)x2+y2
b
μ0i2π(xi+yj)x2+y2
c
μ0i2π(xj−yi)x2+y2
d
μ0i2π(xi−yj)x2+y2
answer is A.
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Detailed Solution
See fig B will be perpendicular to [x i + yj) we know that B =μ0i2π×1r∴ B=μ0i2π×(yi−xj)x2+y2
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