Question 1
The transfer function $V_c(s) / V_s(s)$ of the circuit in Figure 1 where the inductor L = 0.1 H is given by
$\frac{V_c(s)}{V_s(s)} = \frac{d}{C(s^2 + eRs + \frac{f}{C})}$
(Please answer to 3 decimal places, for example: 1.543)
(i) Find the values of d =
f =
(4 marks), e =
(4 marks),
(4 marks),
(ii) Suppose $v_s(t) = u(t)$. Find the values of resistor R and capacitor C such that the step response of the
capacitor voltage $v_c(t)$ is underdamped with complex poles -70 ± 70j ?
(Please answer to 3 decimal places, for example: 1.543)
R=
Ω (6 marks)
C=
mF (7 marks)