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1. For the following network:
a. Find the differential equation assuming that v(t) is the input and the charge on the capacitor q(t) is the output. Hints: iR1= (iR2 + iL), iR2 = (vL + vC) / R2, iL = iC = dq/dt and page 114.
b. Find the state-space representation. Give your answer in vector-matrix form assuming the following values L = 1 H, C = 1 F and R1 = R2 = 1 Ω.
Represent the following transfer function in state space. Give your answer in vector-matrix form.
Extra credit: Find the transfer function G(s) = Y(s) / R(s) for the following system represented in state space.
1. Calculate the combined resistance of three resistors connected in series with resistance of 20 ohm, 30 ohm and 40 ohm? (to achieve a pass grade, solve problems with resisto
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