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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.
Show that the infiltration volume estimated using Horton's infiltration equation between times t1 and t2 is given by; F =f c (t 2 -t 1 )+(f 1 -f c )(1-e -k(t2-t1) )/k Use the
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Q. Determine the current I through the 10- resistor of the circuit of Figure by employing the node-voltage method. Check by mesh analysis.
#question.classification of conducting material.
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