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I just threw it into Micro-Cap and it surprisingly didn't throw any errors with the floating node. https://imgbox.com/riKCyWI5




I can't recall if it was Falstad or which other simulator code I read, but it had "connect this one terminal to ground via multi-Gigaohm resistor for stability" sprinkled throughout the code for capacitors and similar components.

SPICE can do that with 'gshunt' option.



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