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CourseNotes.46 - 12 12.1 Chapter 31 Electromagnetic...

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12 Chapter 31: Electromagnetic Oscillations and Alternat- ing Current 12.1 LC Circuits We have now seen the three major components of standard analog circuits: the resistor, the capacitor, and the inductor. We have looked at the properties of the three devices in isolation as well as the properties of circuits containing the RC and LR in pairs. Lets now look at the remaining pair, the LC circuit. Before we delve into the mathematics, lets look at this circuit from an energy point of view. In previous chapters we derived the energy stored in a capacitor and an inductor. They were, respectively, U E = q 2 2 C & U B Li 2 2 When we go through the mathematics of this simple circuit we will see that energy will oscillate from one form of energy to the other. This situation is analogous to the simple harmonic oscillator from physics 1. We usually started the harmonic oscillator with some potential energy and when we released it the energy was transferred to kinetic energy. After that the energy was converted back to potential and the whole process started over again. These type of simple harmonic oscillations
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