Engineering Circuit Analysis: Equation Derivation Help

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The discussion revolves around a homework problem involving circuit analysis, specifically deriving equations for capacitor voltage in response to a square wave input. The initial equation provided is Vc(t) = 5(1-e^(-t/T)), and the goal is to derive two specific equations based on the condition T > 1/10f. Participants emphasize the importance of demonstrating effort before seeking help and recommend reviewing posting guidelines and existing resources in the forum. The conversation highlights the need for a structured approach to problem-solving in circuit analysis. Overall, the thread underscores the balance between seeking assistance and adhering to community standards for academic support.
frankkk
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I am trying to solve a homework problem. I need some help to get going in the right direction if possible. My equation I am starting with is:

Vc(t) = 5(1-e^(-t/T))

and I have to end up with these two equations:
If T > 1/10f then for a 5 V square wave with a 50% duty cycle, the capacitor voltage is given by

Vc(t) = 5 - (5 / 1+e^(-1/2*f * T)) * e^(-t/T)

and

Vc(t) = (5 / 1+e^(-1/2*f * T)) * e^(-t/T)

Thanks!
 
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Frankkk, we can't help you unless you show some effort first. Please read our posting guidelines for homework. Also read the sticky thread at the top of this subforum.
 

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