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First Order RC circuit

Hi
am trying to simulate afirst order RC circuit,I am supposed to show input voltage and voltage across the capacitor on the same graph. I have included the simulation diagrams in the word file attached. I had tough time understanding the t in the output voltage equation which is also mentioned in the attached word document. can anyone help me out with this.

thanks
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This looks like a good homework question for a first semester circuits course!

"t" is for time, usually in seconds. But every time the input changes you would have a new "t = 0", with the initial conditions as computed where the previous calculation left off. It's not one equation with one "t", but rather a series of equations.

Les Hammer
(Adjunct Instructor hat on for this one.)
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