Figure shows a wire segment of length s = 3.0 cm, centered at the origin, carrying current

Figure shows a wire segment of length Δs = 3.0 cm, centered at the origin, carrying current i = 2.0 A in the positive y direction (as part of some complete circuit). To calculate the x magnitude of the magnetic field B produced by the segment at a point several meters from the origin, we can use B = (μ0/4π) i Δs (sin θ)/r2 as the Biot-Savart law. This is because r and θ are essentially constant over the segment. Calculate B (in unit-vector notation) at the (x, y, and z) coordinates

(a) (0, 0, 5.0m),

(b) (0, 6.0m, 0),

(c) (7.0 m, 7.0 m, 0), and

(d) (-3.0 m, -4.0 m, 0).

Transcribed Image Text:

-As