- #1
eyeweyew
- 25
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Schoolwork-type thread moved from the techincal forums to the schoolwork forums
TL;DR Summary: How to find Time domain equation for RC circuit with AC input from inverse laplace transform
For a simple RC circuit with AC input such as this: https://www.electronics-tutorials.ws/wp-content/uploads/2013/08/rc12.gif?fit=310,151?fit=310,226. If the AC input is just a simple sinusoidal vI(t)=Vicos(ωt) and the transfer function is Vo/Vi=1/(1+sRC). The inverse Laplace transform of Vo/Vi is e-t/RC/RC. How exactly do I find the Time domain equation for vO(t) from this inverse laplace transform? I cannot seem to find any reference to show how to do that.
For a simple RC circuit with AC input such as this: https://www.electronics-tutorials.ws/wp-content/uploads/2013/08/rc12.gif?fit=310,151?fit=310,226. If the AC input is just a simple sinusoidal vI(t)=Vicos(ωt) and the transfer function is Vo/Vi=1/(1+sRC). The inverse Laplace transform of Vo/Vi is e-t/RC/RC. How exactly do I find the Time domain equation for vO(t) from this inverse laplace transform? I cannot seem to find any reference to show how to do that.