v*t/T=? with capacitor when voltage increase linearly

Question

anonymous · Answer

If you're trying to achieve a linear voltage increase across a capacitor - the following equation is useful:

$$v=(\Delta q/t)/C$$

The change in charge per unit time is just the current.  So, charging the capacitor with a constant current will net a linear voltage increase (or decrease) across the capacitor.

If you are observing a constant voltage change - it's obviously because the charging current is constant.

anonymous · Answer

Allow me to correct that equation:

$$\Delta v = (\Delta q/ \Delta t)/C$$

The change in charge over a change in time is the current.  And the change in voltage is a function of the change in charge.per unit time.

The conclusion remains unchanged - a constant charge current will result in a linear change in voltage.