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| Simple Plot |
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| Two Plots on a Graph |
Solving simultaneous equations
Assignment 1:
Given the circuit with V1=15V, V2=7V, R1=20ohms, R2=5ohms, R3=10ohms, find the current through R3 using FreeMat.
Using Mesh analysis,
At i1, 30i1 -10i2 = 15
At i2, -10i1 + 15i2 = 7
Solving the simultaneous equations we get;
where i1 = 0.8429 and i2 = 1.0286.
At the upper node we have i1 = i2 + I, so
I = i1 -i2 = -0.1857A
Plotting exponentials and adding sinusoids
Assignment 1:
1. Circuit A has a time constant of 100ms, while circuit B has a time constant of 200ms. Because of the design of the circuit, the ouput is 2e^-t/tau. Plot the two outputs, and describe which circuit will have the lowest out put sooner.
2. The circuit was redesigned, so the output is now 2(1-e^-t/tau). Plot the output of both circuits.
Assignment 2:
1. Both theoretically and using MATHLAB, determine what the output would be when adding the following two sinusoids: 3sin(2t+10deg) and 5cos(2t-30deg). Does the MATHLAB output resemble your theoretical outpu - plot your theoretical output in MATHLAB, and compare.
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| Two sinusoids and the superposition of both (red) |
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| Theoretical output of addition of both sinusoids |
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| Theoretical graph of the superposition of both sinusoids |
The theoretical and MATHLAB generated sinusoid superpositions differ by some phase angle.
2. You now need to repeat this for a large number of frequencies. Write a script to implement this and demonstrate the output at 10Hz.
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| Superposition of the two sinusoids at 10Hz |
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