Series and parallel in code

You will write three functions that join capacitors, and then use them on a network.

The idea. In parallel the capacitances add. In series the reciprocals add, and every capacitor holds the same charge. A capacitor with charge $Q$ and capacitance $C$ has a voltage $Q/C$.

Your tasks.

1. In parallel, return the equivalent capacitance of a list of capacitors in parallel, in $\mu\text{F}$.
2. In series, return the equivalent capacitance of a list of capacitors in series, in $\mu\text{F}$.
3. In series_voltages, return a list with the voltage across each capacitor of a series chain on a battery, in V.