A circular loop is placed in a vertical plane containing the north-south direction. The current it carries flows towards the north at the loop's topmost point. Suppose A is a point on the circle's axis located to the east of it, and B is a point on the same axis located to the west. The magnetic field generated by this loop

Step-by-step solution

Let the East direction be along the +x -axis, the North direction be along the +y -axis, and the vertically upward direction be along the +z -axis. The circular loop is placed in the North-South vertical plane, which corresponds to the y - z plane. The axis of the loop lies along the East-West direction, which is the x -axis. At the topmost point of the loop, the position vector with respect to the center is r = R k . The current at this topmost point flows towards the North, so the current element vector is d l =