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Question 1 (25 Marks) i. ii. III. For the circuit of Figure 1.1: WHHI. 50kn v (0) 200 k 1 μF 1 μF Figure 1.1 a. Derive t

Posted: Sun Jul 10, 2022 11:32 am
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Question 1 (25 Marks) i. ii. III. For the circuit of Figure 1.1: WHHI. 50kn v (0) 200 k 1 μF 1 μF Figure 1.1 a. Derive the transfer function relating the input voltage and output voltage v. b. Determine function vo(t) when a 4V step input is applied. c. Using the initial and final value theorem, find the initial and final value of the outpu voltage when the input in part b above is applied? For the following function, determine if pole-zero cancellation can be approximated. F(s)=; d²x dt² (0) (8+3) (s+2.5) (s+4)² Consider the following differential equation: dx +5- +8x = f(x) where f(x) is the input and a function of the output x. If f(x) = 6¨*, linearize the differential equation for x near 0.