Download Superposition and Circuit Equivalents - Eclectic Circuit Analysis Lab | ECE 2074 and more Lab Reports Electrical Circuit Analysis in PDF only on Docsity! Lab-in-a-Box Lab 5: Superposition and Circuit Equivalents Name: ______________________ Pledge: _____________________ ID: ______________________ Date: ______________________ Procedure Analysis: This lab will use the figure below. As usual, arrows represent positive current flow. R 1 6 8 0 R 3 1 . 2 k X Y V 2 5 V d c R 2 4 7 0 V 1 9 V d c R 4 2 . 2 k 0 R 5 1 k Figure 1: Circuit for Lab 5. 1. Using the mesh currents as labeled above, find the following currents in terms of i1, i2, and i3. a. IR3 b. IR2 c. IR4 2. Set up a system of equations, using the procedure from lecture, in terms of i1, i2, and i3 that can be solved to find the mesh currents. i1 ↑ i2 ↓ ↑ i3 3. Use MATLAB to solve the equations from step 2. Record here the calculated values of the mesh currents. 4. Now set up another system of equations; these should be in terms of the node voltages X and Y. A good process for this step is to sum the currents leaving each node and set them equal to zero. 5. Use MATLAB to solve the system of equations from step 4. Record here the values of VX and VY. 6. Use your answers in steps 3 and 5 independently to find VR3 and IR3. Do these results match? Why or why not? Explain any discrepancies. 7. After completing steps 1-6, you should be familiar with the process of “solving” more complex circuits such as these. Now, you will demonstrate the concept of superposition. a.) Remove the 9V source, V1, from the circuit. You can do this by substituting a wire where the source is in the circuit. Update your mesh current/node voltage equations accordingly, and use MATLAB to find VR3. To get full credit, list your system of equations and your voltage here. VR3-1 = b.) Replace the 9V source, and remove the 5V source, V2, from the circuit. Repeat step 7a.) and find VR3 with only the 9V source intact. Remember to use MATLAB to do all the heavy lifting mathematically, and to list both your system of equations and your final answer here. VR3-2 = c.) Show that VR3-1 + VR3-2 = VR3. This is the Superposition Law. 8. Thevenin Equivalents: Calculate VTH and RTH, the Thevenin equivalent voltage and resistance, for this circuit from the perspective of XY. Draw the Thevenin equivalent using the calculated values. Modeling: In each step, include all relevant screenshots. 9. Use PSPICE to model the circuit in Figure 1. Run a Bias Point simulation, then copy and paste your schematic with the currents and voltages clearly shown.
