a) Use the force formula F = BLI, the Force acting on the length of L of wire with a current carrying I. And the torque formula t = Fr sin e To prove the formula for a rotating electric motor T = NBA I sin e. B is the magnetic field. A is the area of the loop. N is the number of loops. I is the electric current. ((Just to know: a = wt= 2nft, f is the frequency of the electric motor spins. This means how fast it is spinning. You do not need to use it for this problem.) Now solve all parts of the following problem: Show the complete solution for each part. Problem: A flat rectangular loop of wire is placed between the poles of a magnet, as shown in the figure. It has dimensions' w = 0.50 m and _ = 0.8 m and carries a current / = 1.5 A in the direction shown. The magnetic field due to the magnet is uniform and of magnitude 1.2 T. b) The loop rotates in the magnetic field, and at one point, the plane of the loop is perpendicular to the field. At that instant, what is the magnitude of the torque acting on the wire due to the magnetic field? c) The loop rotates in the magnetic field, and at one point, the plane of the loop makes a 30 angle with the field. At that instant, what is the magnitude of the torque acting on the wire due to the magnetic field? d) The loop rotates in the magnetic field and at one point the plane of the loop makes a 60 angle with the field. At that instant, what is the magnitude of the torque acting on the wire due to the magnetic field? e) The loop rotates in the magnetic field and at one point the plane of the loop is parallel to the field. At that instant, what is the magnitude of the torque acting on the wire due to the magnetic field? f) Discuss in detail the relation between torque and the angle based on your results