EBK MINDTAP FOR HERMAN'S DELMAR'S STAND
EBK MINDTAP FOR HERMAN'S DELMAR'S STAND
7th Edition
ISBN: 9781337900614
Author: Herman
Publisher: VST
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Chapter 18, Problem 16PP

An R-L parallel circuit has an applied voltage of 208 volts and a total current of 2 amperes. The resistor has a value 180 Ω . Find I L .

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Given the following reaction system, where Xo is the input, i.e u(t) = k₁ × Xo: $Xo -> x1; k1*Xo x2; k2*x1 x1 2 x2 ->%; k3*x2^2 x2 ->; k4*x2 Xo 1; k1 = 0.4 k2 4.5; k3 = 0.75 k4= 0.2 a) Build the model in Tellurium and run a simulation. Compute the Jacobian at steady state using the method getFull Jacobian(). Make sure you are at steady state! b) Write out the values for n and p c) Write out the differential equations. d) Write out the state space representation in terms of the rate constants etc. e) Compute the values in the Jacobian matrix from d) by substituting the values of the rate constants etc and any data you need from the simulation. f) Confirm that the Jacobian you get in e) is the same as the one computed from the simulation in a). g) Is the system stable or not? If you find an eigenvalue of zero, that means the system is marginally stable. You can get the eigenvalues using the tellurium method r.getFullEigenvalues()
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EBK MINDTAP FOR HERMAN'S DELMAR'S STAND

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