Final answer:
Using the right-hand rule, a clockwise current in a ring with its center on the x-axis produces a magnetic field at the origin in the negative y-direction.
Step-by-step explanation:
The direction of the magnetic field at the origin (0,0) from a ring with a clockwise current, whose center is on the x-axis, can be determined using the right-hand rule. Position your right hand so that your thumb points in the direction of the current. With the current flowing clockwise when viewed from the x-axis, your fingers would curl into the page at the location of the origin. Thus, the magnetic field at the origin would be in the negative y-direction (option d).