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With a parallel RC circuit, the current and votage follow a exponential path.   

transient RC voltage, and current graphs

capacitor voltage

circuit current

resistor voltage

If you want a simpler derivation of the formula, click here:

Feel free to leave a comment!

If you are unfamiliar with the constant "e", it is called Euler's constant named after the mathematician Euler.

  Euler's constant is a irrational number like pi.

an approximation for Euler's constants value is 2.71.

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