Capacitor and Time Varying Potential

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Apteronotus
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Hi

Suppose you have two regions of electric potential Va and Vb separated by a capacitor.
If Va remains constant and we change Vb according to some time varying formula, a sinusoid say, then
1. How does the charge on the capacitor charge?
2. How does Va change with time?Va ------||-------Vb
 
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I forgot a bit about AC systems, but Vb and the capacitor charge are probably out phase by some value. Something to note is that if the source of the change is sinusoidal, then so is the behavior of the respective values (at least for current, voltage, inductance, and capacitance). If Va is a constant source, then the voltage of that source remains the same; you could take into account the net voltage, in which the change (which is due to a sinusoidally changing Vb) is sinusoidal.
 
Thank you for your reply.