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2. [16 marks.] Consider the cireait below 4Ω 362 2 A 242 Mesh 7b Mesh 3...
1a) Mesh Analysis [ 5 marks ] Consider the circuit shown below. All resistances are in Ohms. 8 v1 592 + + V1 422 7V2 3 Ω 5 V 2 Ω iz V2 + 622 10 22 i) Write down the KVL in the super mesh based on the mesh currents (ii, i2 and i3) given on the circuit. Do not solve the equations. [2 marks ] ii) Write down other equations in terms of mesh currents (ii, i2 and...
Please do parts b-d. 2. Consider the circuit shown below. 0.2i 7 2 4Ω 1Ω 4Ω 0.1 va (a) By hand, use any method (node voltage, mesh currents, etc.) tosolve for the currentix b) Using Spice, solve for ix and compare with your hand calculation. (c) Plot Va vs. Vs, where Vs replaces the 9 V voltage source (and has the same polarity) and varies from -20 to 20 volts. At what value of Vs does the direction of the...
Problem 1 (20 points) You have the circuit shown below. 7 mA 8 kg %, 1 ko Rz 4k sht 10v ☺ ş 4 kg (lc Ako su sos a. Write a complete set of node voltage equations; one for each node (A through E) b. Using the equations from part a, determine the node voltages VA, VB, Vc, Vo and Ve c. Using the node voltages from part b, determine Vyand ly. Problem 2 (20 points) Using the same...
PART 1: Nodal/Mesh Decisions Example 1 Let's think about how to decide whether Nodal or Mesh is a better approach to a problem. Both will work, but one may be a lot more work than the other one. For Part i and 2 of this homework do not write any KCL/KVL equations or use ohm's law until/unless the problem asks you to. Consider this circuit /2 In Nodal Analysis, our variables are nodal voltages. And for each unknown nodal voltage...
nodes 1, 2, 3, and (7 In the diagram below, each resistor has resistance R. To solve for the voltages at 4, first write Kirchhoff's law at each, stating that the total current into the node is zero (the "no-puddle theorem"). For example, at node 1, (Vi-Vo)/R+ (y-½)/R+(Vi-VJ// equations in the four unknown voltages, Vi, ½ Va and V . Solve these equations using matrix algebra. 2 0. You will get four linear
2. Consider the circuit shown below. sa 3 32 4A 8V 752 a. b. c. d. Write the nodal equations. Solve for the node voltages Calculate the loop currents. What is the voltage across the 2Ω resistor.
IV. Experiment Consider the circuit diagram below: 1 ko 3.6 ko 4.7 kΩ 10 V 2 3 ΚΩ 3 kΩ Write the node equations at node 1 and 2 Solve the node equations for the node voltages V, and V, Find current i (flowing through 4.7 kO resistor). iv. V. Simulate the circuit through TinkerCAD. Find V., V2, and i from your simulation. (R5 = 4.7 k.22) Simulation Result VIV V (V) 1 (mA)
Finite element method Question 2 (40 marks) A micro-electrical-mechanical system consists of two members as shown below. It is important that the displacement of the slider is accurately known for a given force, F. To find the relation between displacement and F, it was decided to use FE method. Node 1 is fully constrained, node 2 is free to rotate and translate along the horizontal, and node 3 is only free to rotate. (a) Select the appropriate element types for...
2. [16 marks) - T (a) Evaluate the determinant of matrix A where: ſi 3 -1 0 2 -4 A= -2 -6 2 3 37 - 38 (b) Solve the following system of equations for 23 only, by using Cramer's Rule: [Again, your answer to part(a) may be helpful!] 21 +3.02 – 23 2x2 - 4.23 - 24 -221 - 602 +213 +324 3.01 + 7.02 – 3x3 +8.04 = 1 = 0 = -2 = 0 (c) Use your...
Name: Section: Jan. 31, 2018 1. Consider the circuit shown in figure 1 (a) Write the mesh-current equations for the circuit. DO NOT SOLVE. (b) Write the node.voltage equations for the cireuit. DO NOT SOLVE 2. Consider the circuit shown in figure 2. The sinusoidal source is v,(04 sin (100t+90) volts (a) Transform the circuit to the frequency domain. (b) Use phasors with the mesh-current method to find the steady state expression for i(t). (c) Find the average power absorbed...