December 2005
Intermediate to advanced
475 pages
12h 6m
English
Content preview from Signals and Systems
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4.19 STEP RESPONSE OF SERIES R–L–C CIRCUIT
Fig. 4.23 shows a series R–L–C circuit having zero initial conditions i.e., initially the circuit was relaxed. Let the switch K be closed at t = 0.
Fig. 4.23 Series RLC circ
The circuit equation is given by
Taking Laplace transform of Eq. (4.81), we can write
The three possible solution for I(s) are as follows,
Case (i) : Both a and bare real and a ≠ b i.e.,
∴ Using Eq. (4.85) ...
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