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Question 1 (25 Marks) i. For the circuit of Figure 1.1: 50kn 1 μF ME vj(1) 200 ΚΩ 1 μF Figure 1.1 a. Derive the transfer
Posted: Tue Jun 07, 2022 12:27 pm
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Question 1 (25 Marks) i. For the circuit of Figure 1.1: 50kn 1 μF ME vj(1) 200 ΚΩ 1 μF Figure 1.1 a. Derive the transfer function relating the input voltage and output voltage 1. 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 output voltage when the input in part b above is applied? ii. For the following function, determine if pole-zero cancellation can be approximated. F(s) (s+3) (s +2.5)(s+4)² Consider the following differential equation: d²x dx +5 dt² dt +8x = f(x) where f(x) is the input and a function of the output x. If f(x) = e-*, linearize the differential equation for x near 0. (Total 5+5+5+5+5=25 marks) WHE