solve a and b

vy PatA A toroid is a solenoid bent into the shape of a doughnut. It looks similar to a toy Slinky with ends joined to make a circle. Consider a toroid consisting of N tums of a single wire with current I flowing through it. (Figure 1) View Available Hint(s) The magnitude of the magnetic field inside the toroid varies as a function of which parameters? Consider the toroid to be lying in the r@ plane of a cylindrical coordinate system, with the z axis along the ront axis of the toroid (pointing out of the screen). Let @ represent the angular position around the toroid, and let r Boni be the distance from the axis of the toroid. bothrand@ Part B Complete previous part(s) For now, treat the toroid as ideal; that is, ignore the component of the current in the @ direction. Part Complete previous part(s) vy PartD In an ideal toroid, current would flow only in the r and k directions. The magnetic field in the central plane, outside of the coils of such a toroid, is zero. For the toroid shown in the figures however, this field is not quite zero. This is because in this problem, there is a single wire that is wrapped around a doughnut shape. This wire must point somewhat in the @ direction, and thus the current must actually have a component in the direction. Compute B, the magnitude of the magnetic field in the center of the toroid, that is, on the z axis in the plane of the toroid. Assume that the toroid has an overall radius of A (the distance from the center of the toroid to the middle of the wire loops) and that F is large compared to the diameter d of the individual turns of the toroid coils. Note that whether the field points upward or downward depends on the direction of the current, thatis, on whether the coil is wound clockwise or counterclockwise. Express # in terms of jp, A, J, N, and the local diameter d of the coils. View Available Hint(s) ww sy et 0 oe? Figure 1of1 - Provide Feedback Next (a) (b)