Step response of RC circuit

This website visualizes the time-domain signal of an RC circuit when sending a step function through it. Therefore you can choose whether to see the charging or discharging of the capacitor.
The signals can be described by the following time-domain equations:[br][i]Charging:[/i][br][math]V\left(t\right)=V_{max}\cdot\left(1-e^{-\frac{t}{\tau}}\right)[/math][br][math]I\left(t\right)=I_{max}\cdot e^{-\frac{t}{\tau}}[/math][br][br][i]Discharging:[/i][br][math]V\left(t\right)=V_{max}\cdot e^{-\frac{t}{\tau}}[/math][br][math]I\left(t\right)=-I_{max}\cdot e^{-\frac{t}{\tau}}[/math][br][br]The maximum current [math]I_{max}[/math] only depends on the maximum voltage [math]V_{max}[/math] and the Resistance [math]R[/math]. It does not depend on the capacity [math]C[/math].[br][math]I_{max}=\frac{V_{max}}{R}[/math][br][br]The time constant [math]\tau=R\cdot C[/math] marks the time when the capacitor will be charged to about 63.2%[math]\left(\frac{1}{e}\right)[/math] of its final value respectively when it will be discharged to about 36.8% [math]\left(1-\frac{1}{e}\right)[/math].

Information: Step response of RC circuit