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E E 2315. Lecture 11 Natural Responses of Series RLC Circuits. Natural Response of Series RLC (1/5). KVL for t 0:. but. Natural Response of Series RLC (2/5). KVL for t 0:. Differentiate:. Natural Response of Series RLC (3/5). From experience with 1st order problems:.

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## E E 2315

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**E E 2315**Lecture 11 Natural Responses of Series RLC Circuits**Natural Response of Series RLC (1/5)**KVL for t 0: but**Natural Response of Series RLC (2/5)**KVL for t 0: Differentiate:**Natural Response of Series RLC (3/5)**From experience with 1st order problems: Substitute into last KVL equation: Divide out then**Natural Response of Series RLC (4/5)**Solve for a: Let and**Natural Response of Series RLC (5/5)**Then • Three types of response: • real and unequal (both negative) • real and equal (negative) • complex conjugate pair**Overdamped Series RLC (3/6)**Now use initial conditions to find k1 and k2. then**Critically Damped Series RLC (3/6)**Solve for g1 & g2 using initial conditions: then &**Underdamped Series RLC (2/7)**but and**Underdamped Series RLC (4/7)**Solve for a and b with initial conditions:

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