Wednesday, April 10, 2013

Freemat lab



Purpose: 

to explore freemat and its applications applicable to this course.

              Display of sine graph



             Display of sine and cosine graphs.


Examples:
1)
:V1 = 15V, V2 = 7V, R1 = 20Ω, R2 = 5Ω, and R3 = 10Ω













Setting the information into matrix form we get-->

The current found through R3 is -0.1857A




2)
Circuit 1 has a time constant of 100 ms and circuit 2 has a time constant of 200ms. The output is 2e^(-t/ τ) where τ is the time constant. Using graphs, identify which circuit will have the lower output sooner.


Circuit A will have a lower output.


comparing the curves of 2e^(-t/tau) and 2(1-e^(-t/tau)):


3)

Determining the output of adding the sinusoids: 3sin(2t+10) and 5cos(2t-30)
The function and their sum.

When we change the frequency to 10Hz we have:


This shows that changing the frequency changes the period.

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