RC Circuits and Natural Inverse Exponent function

AI Thread Summary
The discussion focuses on the relationship between the discharging capacitor equation v(t) = Vo*e^(-t/rc) and the Natural Inverse Exponent function. It clarifies that A represents the voltage, while C is the inverse of the time constant. The constant B is identified as the constant of integration, which accounts for the initial voltage across the capacitor. The conversation emphasizes that while B is often assumed to be zero, it can represent a non-zero electric potential in certain scenarios. Ultimately, the Natural Inverse Exponent function effectively models the charging and discharging behavior of the capacitor over time.
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I was trying to figure out the relation between the equation of a discharging capacitor and the Natural Inverse Exponent function

v(t) = Vo*e^(-t/rc)

A*e(-Ct)+B

I get that A represents the voltage and the C is the inverse of the time constant but i can't figure out what the B stands for
 
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B is just the constant of integration that gives you the voltage that you are starting at. Most of the time you would assume that it is at zero but say for some reason that your capacitor has a non-zero electric potential on each side of it.
 
so technically the Natural Inverse Exponent function calculates how much the capacitor will charge or discharge for each given t
 
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