As SunnySkyguy indicated, our schematics are spun off from the demo circuit of Falstad's animated interactive simulator.
Free to download and use at:
www.falstad.com/circuit
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You asked about equations. These are not quite as easy as the simple time constant formulas: C*R and L/R. Nevertheless you can still think in terms of each component's
impedance to a change in voltage (in the capacitor), or change in current (in the inductor).
There is also a formula for the voltage which develops on a capacitor, based on the current going into (or out of) it.
The voltage on an inductor is made up (a) partly from voltage applied by neighboring circuitry, and (b) partly from its counter-emf generated by changes in current through it. It is difficult to calculate the voltage on an inductor.