Problem 7.2 A capacitor C has been charged up to potential Vo; at time t = 0, it is connected to a resistor R, and begins to discharge (Fig. 7.5a). +Q -Q ww R Vo- FIGURE 7.5 (b) +Q R (a) Determine the charge on the capacitor as a function of time, Q(t). What is the current through the resistor, I(t)? (b) What was the original energy stored in the capacitor (Eq. 2.55)? By integrating Eq. 7.7, confirm that the heat delivered to the resistor is equal to the energy lost by the capacitor. Now imagine charging up the capacitor, by connecting it (and the resistor) to a battery of voltage Vo, at time t 0 (Fig. 7.5b). (c) Again, determine Q(t) and I(t). = (d) Find the total energy output of the battery (f VoI dt). Determine the heat de- livered to the resistor. What is the final energy stored in the capacitor? What fraction of the work done by the battery shows up as energy in the capacitor? [Notice that the answer is independent of R!]

Problem 7.2 A capacitor C has been charged up to potential Vo; at time t = 0, it is connected to a resistor R, and begins to discharge (Fig. 7.5a). +Q -Q ww R Vo- FIGURE 7.5 (b) +Q R (a) Determine the charge on the capacitor as a function of time, Q(t). What is the current through the resistor, I(t)? (b) What was the original energy stored in the capacitor (Eq. 2.55)? By integrating Eq. 7.7, confirm that the heat delivered to the resistor is equal to the energy lost by the capacitor. Now imagine charging up the capacitor, by connecting it (and the resistor) to a battery of voltage Vo, at time t 0 (Fig. 7.5b). (c) Again, determine Q(t) and I(t). = (d) Find the total energy output of the battery (f VoI dt). Determine the heat de- livered to the resistor. What is the final energy stored in the capacitor? What fraction of the work done by the battery shows up as energy in the capacitor? [Notice that the answer is independent of R!]

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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