UF PHY 2049  Capacitance II (17 pages)
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Capacitance II
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Lecture Notes
 Pages:
 17
 School:
 University of FloridaGainesville
 Course:
 Phy 2049  Physics 2 with Calculus
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Chapter 25 Capacitance II In the last lecture we calculated the capacitance C of a system of two isolated conductors We also calculated the capacitance for some simple geometries In this chapter we will cover the following topics Methods of connecting capacitors in series in parallel Equivalent capacitance Energy stored in a capacitor Behavior of an insulator a k a dielectric when placed in the electric field created in the space between the plates of a capacitor Gauss law in the presence of dielectrics 25 1 HITT An electron moves from point i to point f in the direction of a uniform electric field During this displacement i j A the work done by the field is positive and the potential energy of the electron field system increases B the work done by the field is negative and the potential energy of the electron field system increases C the work done by the field is positive and the potential energy of the electron field system decreases D the work done by the field is negative and the potential energy of the electron field system decreases E the work done by the field is positive and the potential energy of the electron field system does not change Equivalent Capacitor Consider the combination of capacitors shown in the figure to the left and to the right upper part We will substitute these combinations of capacitor with a single capacitor Ceq that is electrically equivalent to the capacitor group it substitutes This means that if we apply the same voltage V across the capacitors in fig a and fig b either right or left by connecting to a battery the same charge q is provided by the battery Alternatively if we place the same charge q on plates of the capacitors in fig a and fig b either right or left the voltage V across them is identical This can be stated in the following manner If we place the capacitor combination and the equivalent capacitor in separate black boxes by doing electrical mesurements we cannot distinguish between the two 25 9 Capacitors in parallel
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