Find and plot Vo(t), if io=10e^-200t
Assume v(o- bar on top of o)= +400 volts
See the attachment for the diagram.© BrainMass Inc. brainmass.com February 24, 2021, 2:35 pm ad1c9bdddf
Use the Laplace Transform method.
Kirchoff's voltage law gives:
vo(s) - i(s)*[sL + 1/sC ] = Vo (s)
Now, vo(s) = 400/s
i(t) = 10*e^(-200t) ==> i(s) = 10/(s+200)
So, Vo(s) = 400/s - [10/(s+200)]*[ (1+s^2LC)/(sC)
Use the partial fraction ...
This answer gives the electrical voltage through using the diagram, properties of exponential decay functions, and electrical circuits. The Laplace Transform method especially was helpful in determining voltage during different times.