PROBLEMS TO BE WRITTEN UP AND TURNED IN AT RECITATION These problems are due at your first recitation meeting after Wed 04/06. Each problem should be written on a single sheet of paper (front and back), or if multiple sheets are used, staple them together. For full credit, the work must be neat, with clearly labeled diagrams. The labels must be in BOTH words and symbols. For each part of the problem, you must BRIEFLY explain your strategy in words, as well as neatly showing your physics equations and math, with proper units. Wolfson Chapter 30 problem 48, p. 800. (10 points) FISHBANE - CHAPTER 30 (15 points) 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.)