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lesson32

# lesson32 - Lesson#32 RLC Step Response(Section 7-7(CLOs 7-3...

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Lesson #32 – RLC Step Response – (Section 7-7) (CLOs 7-3 and 7-4) This is the second lesson on the behavior of RLC circuits. In this lesson, we look at the response of RLC circuits to a step input. In many ways, this is repetitious of the natural response except that a dc value is added to the negative of the natural response. A t y t y N + = ) ( ) ( This lesson is crucial to their understanding when we revisit second-order circuits in Laplace (Chs 10 through 14). There are several very important points that need to be made. First we introduce two new parameters: ζ the damping coefficient (unit-less) and ω 0 ( rad/s ) the undamped natural frequency. These new parameters will be very important in designing filters. For completeness, you might also mention that the roots of Case C has α ± jβ where α ( nepers or s -1 ) is the attenuation constant, and β ( rad/s ) is the damped natural frequency. Second as we solve the second-order circuit for the step response, discuss how we might approach solving for an exponential input or a sinusoidal input.

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lesson32 - Lesson#32 RLC Step Response(Section 7-7(CLOs 7-3...

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