2. (a) (b) (C) Shown in the above figure is (a) A circular loop of radius 4 cm lying flat in the x-y plane; (b) The loop is bent about its diameter along two mutually perpendicular planes; then (c) folded in half unto itself. Also shown in the figure is a vector representing a uniform magnetic field of 0.4 T permeating the whole region directed at an angle of 32 degrees with the x-y plane. Suppose the loop transitions from configuration (a) to (b) in 0.03 seconds and from (b) to (c) in 0.04 seconds. Calculate the average EMF induced in the loop as it transitions from configuration (a) to (b). (report your answer in SI units.)

One solenoid is inside the other solenoid. Both solenoids have length L and N turns. The radius of the inner solenoid is 2R and the radius of the outer solenoid is 3R. The inner solenoid carries current 41 and the outer solenoid carries current l in opposite directions as shown. What is the magnetic field at a distance R from the central axis? Both solenoids are long and thin, i.e., L >> R. > +x

The figure below shows a wire that forms a semicircle of radius R=10. 0 cm  and two straight segments each of length 7.0 cm. The wire carries a current i = 42.0 mA.(a) What are the magnitude, and(b) direction of the magnetic field at point C?

A rod with mass m = 0.720 kg and radius r = 6.00 cm rests on two parallel rails, as shown in the figure. The rails are separated by a distance d = 12.0 cm and have length L = 45. cm.The rod carries a current I = 48.0 A in the direction shown in the figure and rolls on the rails without slipping. There is a uniform magnetic field of magnitude B = 0.240 T perpendicular to the rails and the rod. If the rod starts from rest, what is its speed when it leaves the rails?