Lecture 19 - A source-free parallel RLC circuit for Example...

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Lecture 19 figures 1 Fig. 19-1: Second-order circuits have an analog in a mass suspended from the ceiling on a spring. The differential equation governing the position x(t) is second-order and linear. Fig. 19-2a: The current or voltage for lossless oscillation. Fig. 19-2b: The current or voltage for underdamped oscillation. The sinusoidal oscillation is evident, but the amplitude decreases with time. Fig. 19-2c: The current or voltage for overdamped oscillation. The sinusoidal oscillation is not evident. Fig. 19-2d: The current or voltage for critically-damped oscillation. The waveform appears very similar to the overdamped case.
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Lecture 19 figures 2 Fig. 19-3: A source-free series RLC circuit. Fig. 19-4: A source-free parallel RLC circuit. Fig. 19-5:
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Unformatted text preview: A source-free parallel RLC circuit for Example 19-1. We must determine the voltage v(t) for t > 0. Fig. 19-5a: Our initial estimate of the solution v(t) for the RLC circuit for Example 19-1. Fig. 19-5b: The solution v(t) for the RLC circuit for Example 19-1. Fig. 19-5c: The solution v(t) for the modified RLC circuit for Example 19-1. Lecture 19 figures 3 L = 10 mH C = 1 μF R = 200 Ω Fig. 19-6: A source-free series RLC circuit for Example 19-2. We must determine the current i(t) for t > 0. Fig. 19-6a: The current i(t) for Example 19-2 for t > 0. L = 0.6H R = 3 Ω C = 1/30 F Fig. 19-7: A source-free parallel RLC circuit for Example 19-3. We must determine the current i(t) for t > 0. Fig. 19-7a: The current i(t) for Example 19-3 for t > 0....
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