Energy Stored by Capacitors

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Energy Stored by Capacitors:
Consider charging an initially uncharged parallel plate capacitor by transferring a charge Q from one plate to the other, leaving the former plate with charge -Q and the later with charge +Q.
Of course, once charge is transferred, an electric field is set up between the plates which opposes any further charge transfer. In order to fully charge the capacitor, work is to be done against this field, and this work becomes energy stored in the capacitor.
Suppose that the capacitor plates carry a charge q and that the potential difference between the plates is. The work done in transferring an infinitesimal amount of charge dq from the negative to the positive plate is simply dW = V dq.
In order to evaluate the total work done W (Q) in transferring the total charge Q from one plate to the other, we can divide this charge into many small increments dq, find the incremental work done in transferring charge, using the above formula, and then sum all of these works. The only complication is that the potential difference between the plates is a function of the total transferred charge.