Basically, when you exceed the rated voltage, as with any other rated component, the capacitor can't handle it and the dielectric will probably melt or something, and cause a short circuit between the plates. This is the only thing I can think you mean by "capacitor breakdown". The other use of the term "breakdown" in electronics is for breakdown voltages in diodes.
For capacitors in series, 1/C[total] = 1/C[1] + 1/C[2] + 1/C[3] +...
For caps in parrallel, C[total] = C[1] + C[2] + C[3] + ...
The current and v0ltage are related by i = C(dV/dt), which are just derived from the equation Q=CV.
The rated voltage for the capacitor will be on there.
If its an electrolytic capacitor, you might want to ramp up the voltage on it, for fun, and watch it explode! :)