Heir we’ll consider the LCR circuit shown below. For this problem, assume that 4 L/R 1/RC > 1. Show that the transfer function can be written as H(s) = A s/(s – a) (s – b) where a = sigma + j omega 0 and b = sigma 0 – j omega 0. Include expressions for A, sigma 0, and omega 0 in terms of R, L, and C. Use line 13 of Table 12.2 in the textbook to show that for this circuit the transfer function h(t) = e sigma 0/omega 0 [sigma 0 sin (omega 0 t) + sigma 0 cos (omega 0 t)]
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