Question: A wire in the shape of semicircle with radius a is oriented in the yz-plane with its center of curvature at the origin (Fig. 28.67).

A wire in the shape of semicircle with radius a is oriented in the yz-plane with its center of curvature at the origin (Fig. 28.67). If the current in the wire is I, calculate the magnetic-field components produced at point P, a distance x out along the x-axis. (Note: Do not forget the contribution from the straight wire at the bottom of the semicircle that runs from z = -a to z = +a. You may use the fact that the fields of the two antiparallel currents at z > a cancel, but you must explain why they cancel.)

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