Question

Problem 3. (15 points) Consider the circuit shown below. The arrows show the assumed direction of the current flow 352 5Ω 2 S2 352 12 21 (i) Apply Kirchoff's junction rule and Kirchoff's loop rule to find the necessary set of equations required to solve for the currents, i. Write the equations in matrix form Clearly write out A and b. [Note: This is not the most efficient way to solve this problem. We are not trying to be efficient, we are trying to construct a "large" system of equations to solve/study. The clearer you write the solution the better chance you have for getting partial credit as warranted. (ii) If the battery has V 6 V, solve the system equations for the currents, i. (iii) How can you verify that your currents are correct? Multiplying Ai does not check to see if your equations are correct, it checks to see if the system as you set it up was solved correctly numerically. If you used scipy.linalg.solve we should expect the solving algorithm to be implemented correctly. Instead we want to verify we set up the equations correctly. Describe how to check your currents. You should also do this for yourself! There is no reason to get the wrong values

Answer 1

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