Question # 9*: For each of the following two networks, u (t) 1↑ u (t) Va 1=0 5 Ω www t=0 3 Ω L = 2 mH oooo C 2 μF 25 mH

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Question # 9*: For each of the following two networks, u (t) 1↑ u (t) Va 1=0 5 Ω www t=0 3 Ω L = 2 mH oooo C 2 μF 25 mH ia -6.25 mF R= 25 2 a) Find the transfer function of the network. The input is u(t) and the output is the current in the inductor. b) Find the input/output differential equation of the system. c) Find a state space representation of the system. Choose the states of the system to be the voltage across the capacitor and the current in the inductor. The output is the voltage across the capacitor.