PROBLEMS TO BE WRITTEN UP AND TURNED IN AT RECITATION This problem is due at your first recitation meeting after Tue 03/07. The 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. HRW Problem Supplement #1 - CHAPTER 26 (10 points) 66. Two parallel-plate capacitors A and B are connected in parallel across a 600 V battery. Each plate has area 80.0 cm^2 and the plate separations are 3.0 mm. Capacitor A is filled with air; capacitor B is filled with a dielectric of dielectric constant Kappa = 2.60. Find the magnitude of the electric field within (a) the dielectric of capacitor B and (b) the air of capacitor A. What are the free charge densities on the higher-potential plate of (c) capacitor A and (d) capacitor B? (e) What is the induced charge density on the surface of the dielectric which is nearest to the higher-potential plate of capacitor B.