Conversely, the voltage across an inductor is proportional to the rate of change of the current flowing through it:
However, electronics is rarely static.
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If the derivative tells you where you are going, the integral tells you where you have been. In electronics, the integral of current over time gives you the total charge accumulated in a capacitor. Conversely, the voltage across an inductor is proportional
To calculate the voltage across a capacitor after a specific time, you integrate the current: ( V(t) = \frac1C \int i(t) , dt ). Calculus For Electronics Pdf