Charging a capacitor:
In the diagram below, all of the resistance in the circuit is added together and shown as a single value R.
With S_{1} closed and S_{2 }open, the capacitor will charge up.
Note that Kirchhoff's second law always applies, that is:
E = V_{R} + V_{C}
The charging sequence is as follows:
V_{R} = E
The curves are called 'exponential' curves and it can be seen that the slopes dVc/dt and dl/dt are progressively decreasing as time increases.