Is the series gate transistor in the schematic required if a P-channel MOSFET is used? The input impedance of MOSFETs is supposed to be very high so the current flowing there is negligible, isn't it?
The resistance is very high, but there is also the gate capacitance. This can cause both current surges (a capacitor looks like a short if it's empty, or at high frequencies) and oscillations.
Anyway, I'm not sure I understand why a Darlington never gets fully saturated. Why is this? If it's not too much to ask for a simple explanation
You should be able to find this in any decent electronics text, or even Wikipedia. The collector of the transistor inside the MC34063 is connected to the collector of the external transistor, so the emitter of the MC34063 transistor is one V
CE (sat) below the collector. This collector is connected to the base of the external transistor. The emitter of the external transistor is one V
BE below the base. This means that the minimum V
CE of the external transistor is V
CE (sat) (of internal transistor) + V
BE of the external transistor.
The base voltage needs to be higher than the collector voltage to drive a NPN transistor into saturation (all polarities reversed for PNP), which is impossible for the external transistor in a Darlington configuration.