Question is which current goes through series Inductor between ignition coil and spark plug, when 200PF cap is across plug? The energy voltage is taken from Ignition coil secondary to charge cap, and then discharged with regular spark for a quick Peak higher current. The center inductor in between, has to be within limit so as no saturation state, less than 550milliamps. The total current is drawn from source secondary side , and divided between spark plug and the much smaller amount for charging/discharging capacitor. Part of the high volts goes to capacitor, SO AS OVERALL VOLTS IS REDUCED SLIGHTLY TO PLUG. Is the Inductor getting same original low value passing current with or without capacitor firing? (No saturation desired)

 

You need a Boost-Converter to create around 300-Volts DC across the Plug-Gap.
This will increase the Duration and Current across the Plug-Gap.

But the Engine won't create any more Power unless it has a barely adequate, Ignition-System.

You can buy aftermarket Kits for adding a very strong DC-Component to your Ignition-System,
but You probably don't need it unless you have a Blower or Turbo-Charger that's generating
more than around ~10-pounds of Boost-Pressure.
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I ran a "Mark Ten" Capacitor discharge ignition system on two different cars , back when the M10 was "state of the art". The benefit I received was that it always fired the plugs, even when they were a bit carbon fouled because of a rich mixture and a funny cam. So the benefit was not some magic, but rather just getting the correct spark, always strong enough, every time. The down side was that if there was another path for the high voltage pulse that would be the spark point. So it was rather demanding on all of the wires and boots being in good condition.
As for adding a shunt capacitor and series inductor, consider that the amount of POWER the ignition coil delivers does not change. It can be spread a bit, but that might not always be a benefit. It will not deliver more than the power provided.

 

Now I would like to use that same "Mark Ten" and another ignition coil, triggered by a door buzzer, possibly, to light up some gas discharge tubes on a vehicle. Has anybody ever played with something like that???