kuruman said:
The OP is interested in only one plate having charge while the other has zero charge. That is why the plate on the right is grounded. The plate on the right can be charged by induction.
Grounding one plate of a capacitor does not discharge that plate, nor the capacitor.
I take a one farad capacitor and charge it to one volt. C = Q / V. It then has a positive charge excess of one coulomb on one terminal, and a charge of negative one coulomb on the other. The energy stored in the capacitor is; E = ½·C·V² = 0.5 joule. If I then connect one terminal of that capacitor to ground, the energy stored within the capacitor and the charge imbalance between the plates remain unchanged. The voltage between the plates of the capacitor remains the same, as does the balanced charge on each plate.
When I ground one terminal, it does not mean that plate has zero charge. The voltage of that plate becomes zero relative to ground, but the charge on that plate is temporarily connected to ground. If I then disconnect the terminal from ground, electrostatic induction will make sure that the charge on the previously grounded terminal remains constant, equal and opposite to the charge on the floating plate.
If you have two conductors, joined at a closed switch, then induce a distortion of the surface charge through the use of an external electric field, charge will still be conserved on the connected conductors. If you then open the switch, isolating the induced charge imbalance on either side of the switch, you have formed a charged capacitor. But whatever excess charge you have at one end, must be balanced exactly by the deficit at the other.
An RLC circuit is a closed electrical model. It obeys Kirchhoff's current law. What flows in through one terminal of a capacitor must flow out through the other. Isolated conductors, monopoles and electrostatic induction are not part of the RLC circuit model.
A capacitor that has a permanent charge built into the dielectric is called an electret. It is the electrostatic equivalent of a permanent magnet.
https://en.wikipedia.org/wiki/Electret