We add up a second NPN 2N3904 transistor, which base is connected to the 0 output line of the BBC microbit. The BBC microbit outputs a 1023 (max value) analog signal to its 0 output line to activate the gate of this transistor. The collector of this transistor is connected to the + of the power supply, and the emitter to the + of the BBC microbit.
The goal of this second transistor is to allow the BBC microbit to feed itself directly from the power supply (the supercap) once the voltage of the power supply (the supercap) drops below the one activating the output pin of the 1381E. Indeed, if the power supply (supercap) voltage drops below the lower activation limit of the 1381E, its output signal will drop to 0, which will shut the gate of the first transistor, thereby cutting the power line to the BBC microbit, even though the power supply voltage is still (theoretically) around 2.2 V. The BBC microbit being able to run as low as 1.71 V, as our prevous results show, it would be a pity not to use the burst of energy delivered by the supercap between 2.2 and 1.7 V.
(A.) When connecting this two-transistors version of the circuit to the power supply, we obtain the following values :
2.80 V at the + pin of the power supply, as in test #3.
2.63 V at the output pin of the power supply, very much as in test #3.
(1.) 1.82 V at the emitter of the first 2N3904 transistor, as in test #3, and therefore the same at the emitter of the second 2N3904 transistor.
(2.) 1.78 V at the 0 output line of the BBC microbit, and therefore the same at the gate of the second 2N3904 transistor.
(B.) We know that current flows through an NPN transistor when :
(1.) It has a relative positive voltage on its gate.
(2.) Its gate voltage is at least 0.6 V superior to its emitter voltage.
(3.) The collector voltage is superior to the emitter voltage.
We can therefore deduce from the values (A.1) and (A.2) that the second transistor cannot open, because the voltage difference between the gate (1.78 V) and the emitter (1.82 V) of the transistor is below 0.6 (criteria B.2).
WAs the voltage provided by the power supply (supercap) drops, the voltage at the gate of the first 2N3904 transistor drops, and so does the voltage supplied to the BBC microbit, which in turn affects the voltage supplied to the gate of the second 2N3904 transistor, which will never opens.
This circuit typology therefore cannot work.