4. [CLO3] (a) Determine the zeros and poles of the function H(s) = 5; zeros on...

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4. [CLO3] (a) Determine the zeros and poles of the function H(s) = 5; zeros on the s-plane. (s+1) 1++28+5)(s² +4s+3) and show these poles and [4] (b) For the current function I(s) = 26+10, use the initial-value theorem to find i(0+). s(s+2) [2] (c) Determine the impulse response of the circuit given in Figure 4 and use this to compute the forced response if the input is vin = 10e-24u(t) V. [4] 1Ω Vin(t) 1F Vout (t) Figure 4: Circuit for problem 4c 4. [CLO3] (a) Determine the zeros and poles of the function H(s) = 5; zeros on the s-plane. (s+1) 1++28+5)(s² +4s+3) and show these poles and [4] (b) For the current function I(s) = 26+10, use the initial-value theorem to find i(0+). s(s+2) [2] (c) Determine the impulse response of the circuit given in Figure 4 and use this to compute the forced response if the input is vin = 10e-24u(t) V. [4] 1Ω Vin(t) 1F Vout (t) Figure 4: Circuit for problem 4c