PROBLEMS FROM HRW SUPPLEMENT #1 and FISHBANE JULY 23 - JULY 29 Problems from HRW Problem Supplement #1 (6th edition) CHAPTER 30 73. A long, hollow cylindrical conductor (inner radius = 2.0 mm, outer radius = 4.0 mm) carries a current of 24 A distributed uniformly across its cross section. A long thin wire that is coaxial with the cylinder carries a current of 24 A in the opposite direction. What are the magnitudes of the magnetic fields (a) 1.0 mm, (b) 3.0 mm, and (c) 5.0 mm from the central axis of the wire and cylinder? CHAPTER 31 90. The figure for this problem is Fig. 31-13(a), except that the magnitude of B is decreasing, rather than increasing. A uniform magnetic field is confined to a cylindrical volume of radius 10 cm. The magnitude of B is decreasing at a constant rate of 10 mT/s. What are the instantaneous accelerations (direction and magnitude) experienced by an electron placed (a) 5 cm below the center of the cylinder; (b) at the center of the cylinder; and (c) 5 cm above the center of the cylinder. Problems from Fishbane, Gasiorowicz, and Thornton (2nd edition) CHAPTER 30 32. Consider a toroidal solenoid with a square cross section, each side of which has length 3 cm. The inner wall of the torus forms a cylinder of radius 12 cm. The torus is wound evenly with 200 turns of 0.3 mm-DIAMETER copper wire. The wire is connected to a 3.0 V battery with negligible internal resistance. (a) Calculate the largest and smallest magnetic field across the cross section of the toroid. (b) Calculate the absolute value of the magnetic flux through one turn of the toroidal solenoid. (c) Do you need to cool the solenoid? (Calculate the heat created per second when current is flowing.)