(Solution) - A long straight wire lies along the y axis and carries -(2025 Original AI-Free Solution)

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A long, straight wire lies along the y-axis and carries a current I = 8.00 A in the -y-direction (Fig). In addition to the magnetic field due to the current in the wire, a uniform magnetic field B0 with magnitude 1.50 X 10-6 T is in the + x-direction What is the total field (magnitude and direction) at the following points in the xz-plane:
(a) x = 0, z = 1.00 m;
(b) x = 1.00 m, z = 0;
(c) x = 0, z = -0.25m?