Course Solutions Uncategorized (Answered) : Q4 Continuous Time System Defined D 6 500 60 120x 0 Dx T Dt Dt Dy 0 Given 0 Y 0 0 Derive E Q28961037

(Answered) : Q4 Continuous Time System Defined D 6 500 60 120x 0 Dx T Dt Dt Dy 0 Given 0 Y 0 0 Derive E Q28961037

Q4. (a) A continuous-time system is defined by d6+500-60+120x(0) dx(t) dt dt dy(0) (i) Given that 0 and y(0)0. Derive an expression for the transfer (10 marks) dt function H(s) of the system (ii) Determine the impulse response h() (7 marks) (b) Fig. Q4b shows a series RLC circuit. It is assumed that R > 0, L> 0, and C >0 Consider the voltage across C as the output. x(n)- Fig. Q4b 1/(LC) s2 +(R/L)s+1(LC) The transfer function of the system is H(s)- Determine whether the circuit is stable for the following cases -0 (4 marks) 2L) LC 720 (4 marks) 2L)LC

Q4.

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