PROBLEMS TO BE WRITTEN UP AND TURNED IN AT RECITATION This problem is due at your first recitation meeting after Wed 11/17. 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. Problem from Halliday and Resnick - 2nd Ed - Chapter 33 12. The figure for this problem is Figure 30.11 with EMF = 10.0 V, R = 6.70 Ohms, and L = 5.50 H. With S2 open, S1 was closed at time t = 0. The subsequent current as a function of time t was then given by I(t) = (EMF/R)(1-e^(-Rt/L)) (in about one week we will learn how to derive this equation for the current as a function of time). (a) At t = 1.00 s, what are the rates at which energy is being stored in the magnetic field, thermal energy is appearing in the resistance, and energy is being delivered by the battery? (16 points) (b) How much energy is delivered by the battery during the first 2.00 s (HINT: integrate the power of the battery over the first two seconds)? (10 points) (c) How much of this energy is stored in the magnetic field of the inductor? (7 points) (d) How much of this energy is dissipated in the resistor? (7 points)