# Question: the figure shows a wire segment of length s ...

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The figure shows a wire segment of length Δs = 6.2 cm, centered at the origin, carrying current i = 4.6 A in the positive y direction (as part of some complete circuit). To calculate the magnitude of the magnetic field Upper B Overscript right-arrow EndScripts produced by the segment at a point several meters from the origin, we can use the Biot–Savart law as B = (μ0/4π)i Δs (sin θ)/r2. This is because r and θ are essentially constant over the segment. Calculate Upper B Overscript right-arrow EndScripts (in unit-vector notation) at the (x, y, z) coordinates (a) (0, 0, 5.5 m), (b) (0, 7.1 m, 0), (c) (8.0 m, 10 m, 0), and (d) (-5.4 m,-6.2 m,0).