Physics

Problem

A capacitor discharges through a resistor. The discharge current follows the function

I(t) = I_{0} e^{-t/\tau}

, where

I_{0} = 10\,\text{A}

and the time constant

\tau = 2\,\text{s}

. Find the amount of charge that flows out of the capacitor between

t = 0

and

t = 2\,\text{s}