LAPLACE TRANSFORMS AND ITS APPLICATIONS

Let us consider a series RLC circuit as shown in Fig 1. to which a d.c. voltage Vo is suddenly applied. FIG. 1: Series RLC circuit Now, applying Kirchhoﬁ’s Voltage Law (KVL) to the circuit, we have, Ri+Ldi=dt+1=C R idt = Vo (3) Diﬁerentiating both sides, Ld 2i=di +1=Ci+Rdi=dt = 0; or;d2i=dt2 +(R=L)di=dt+(1=LC)i = 0 (4) Now, applying ...

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