Basic Engineering Circuit Analysis
Basic Engineering Circuit Analysis
11th Edition
ISBN: 9781118539293
Author: J. David Irwin, R. Mark Nelms
Publisher: WILEY
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Chapter 1, Problem 36P
To determine

The value of power absorbed by element 1.

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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()

Chapter 1 Solutions

Basic Engineering Circuit Analysis

Ch. 1 - The charge entering the positive terminal of an...Ch. 1 - Prob. 12PCh. 1 - The power absorbed by the BOX in Fig. Pl. 13 is...Ch. 1 - The power absorbed by the BOX in Fig. Pl. 14 is...Ch. 1 - The energy absorbed by the BOX in Fig. P1.15 is...Ch. 1 - The charge that enters the BOX in Fig. P1.16 is...Ch. 1 - The energy absorbed by the BOX in Fig. Pl. 17 is...Ch. 1 - The charge entering the upper terminal of the BOX...Ch. 1 - The energy absorbed by the BOX in Fig. Pl. 19 is...Ch. 1 - Determine the amount of power absorbed or supplied...Ch. 1 - Calculate the power absorbed by element A in Fig....Ch. 1 - Calculate the power supplied by element A in Fig....Ch. 1 - Element A in the diagram in Fig. PI .23 absorbs 30...Ch. 1 - Element B in the diagram in Fig. P1.24 supplies 60...Ch. 1 - Element B in the diagram in Fig. PI .25 supplies...Ch. 1 - Element B in the diagram in Fig. Pl.26 supplies 72...Ch. 1 - (a) In Fig. Pl.27 (a), P1=36W. Is element 2...Ch. 1 - Two elements are connected in series, as shown in...Ch. 1 - Element 2 in Fig. Pl.29 absorbed 32W. Find the...Ch. 1 - Choose Is such that the power absorbed by element...Ch. 1 - Find the power that is absorbed or supplied by the...Ch. 1 - Find the power that is absorbed or supplied by the...Ch. 1 - Compute the power that is absorbed or supplied by...Ch. 1 - Find the power that is absorbed or supplied by...Ch. 1 - Find Ix in the network in Fig. P1.35.Ch. 1 - Prob. 36PCh. 1 - Find the power absorbed or supplied by element 1...Ch. 1 - Find the power absorbed or supplied by element 3...Ch. 1 - Find the power absorbed or supplied by element 1...Ch. 1 - Find Vx in the network in Fig. P1.40 using...Ch. 1 - Find Ix in the circuit in Fig. P1.41 using...Ch. 1 - Is the source Vs in the network in Fig. P1.42...Ch. 1 - Find I0 in the network in Fig. P1.43 using...Ch. 1 - Calculate the power absorbed by each element in...Ch. 1 - Calculate the power absorbed by each element in...Ch. 1 - In the circuit in Fig. P1.46, element 1 absorbs 40...
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