Capacitor charging:

\begin{equation} Q = Q_0 (1-e^{-\frac{t}{RC}}) \end{equation}

where \(Q\) is capacitor change at time \(t\), and \(Q_0\) initial change, and \(RC\) the resistance and capacitance.

Where, \(RC\) is called the “time constant”.

\begin{equation} I = \frac{V}{R} (e^{-\frac{t}{RC}}) \end{equation}

Note! these are *inverse* relationships: as a capacitor CHARGE, the current DROPS.