Can a high internal resistance 9v battery be applied in parallel to 3vDC battery D cell amps pack to run a 10 amp 6V DC headlight bub at full brightness? Neither source power by itself can run bulb. Superimposed 2 sources to operate load bulb resistance? 9 volts DC added to separate power pack. A variable power resistor + amp meter can substitute for bulb, as a higher current reading obtained.
No. That is like shorting out the weaker cell. (weak = high Rs)
Parallel voltage sources that differ in voltage will result in circulating currents where the source with the lower impedance dominates the superimposed parallel voltage in cells.
I made a simulation with my estimate of the series resistance by recalling from memory the short circuit current of an example of random 9V cell and two D cells and chose the series resistance.
Using Kirchoff's Laws the voltage & current can be computed just as performed in this
simulation.
Press the dummy remote switch so you don't mess up the connections for a momentary connection between cells and see the effects of the "Superposition Principal". Just like jump starting a car unless the voltages are close you get a big spark on connection.
I used an ideal voltage source and added R to make a simple battery models. They are actually a little more like complex Supercaps with an activation voltage with thousands of Farads.
