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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.
Illustrate VI Characteristics of PN junction diode (10) Illustrate Half Wave Rectifier. Disadvantage of Half Wave Rectifier. Determine ripple factor of Half Wave Rectifier.
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Capacitor-input filter: The capacitor-input filter, as well called pi filter because of its shape which looks like the Greek letter pi, is a sort of electronic filter. Filter
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