Calculate the value of current i 2 for the result of zero stored energy.

Question

2. (35 points) Use you program to investigative properties of a four step linear pathway. Just extend the model given in question 1 to include an additional two species x2 and x3. You can assume simple irreversible mass-action kinetic on each reaction. I recommend you use the following values for the rate constants: 1 = 0.6; k2 = 1.8; k3 = 0.5; k40.04. This will enable you to more easily answer the following questions. You can also assume that the input is the source X and you can set its value to one. You may find that the plot of the phase change at x3 is broken at -180 degrees because it wraps around. To avoid this you can use the method: phase = np.unwrap(phase) to make sure the phase plot is continuous. [10] i) Compute and show the Bode plots for x1, x2 and x3 with respect to the input Xo. [5] ii) Do you see a pattern with the maximum phase shifts as you move from x₁ to x3? [10] iii) Can you explain this pattern? [5] iv) What would you predict would be the maximum phase shift for…

Answer 1

Question

Chapter 6, Problem 46P

a.

To determine

Calculate the value of current i2 for the result of zero stored energy.

b.

To determine

State whether there is any physically realizable value of i2 that provide the negative stored energy or not.

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