PY208N-Lecture-24

# PY208N-Lecture-24 - Physics 208N-004 Lecture #24 18 March...

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A circuit consisting of an inductor and a resistor Review 30 4 LR Circuits The sum of potential differences around the loop gives Integrating gives the current as a function of time: . The time constant of an LR circuit is . . If the circuit is switched to short, then current decays Physics 208N-004 Lecture #24 – 18 March 2011 Chapter 30: 5 – LC Circuits 30 5 LC Circuits and Electromagnetic Oscillations An LC circuit is a charged capacitor shorted through an inductor.

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30 5 LC Circuits and Electromagnetic Oscillations Summing the potential drops around the circuit gives a differential equation for Q : This is the equation for simple harmonic motion, and has solutions . . 30 5 LC Circuits and Electromagnetic Oscillations Substituting shows that the equation can only be true for all times if the frequency is given by The current is sinusoidal as well:
30 5 LC Circuits and Electromagnetic Oscillations The charge and current are both sinusoidal, but with different phases.

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## This note was uploaded on 09/18/2011 for the course PY 208M 87878 taught by Professor George during the Spring '09 term at N.C. State.

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PY208N-Lecture-24 - Physics 208N-004 Lecture #24 18 March...

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