Capacitor and Time Varying Potential

AI Thread Summary
When a capacitor separates two regions of electric potential, with one region (Va) constant and the other (Vb) varying sinusoidally, the charge on the capacitor will also change in response to the varying voltage. The sinusoidal change in Vb leads to an out-of-phase relationship between the charge on the capacitor and Vb. Since Va remains constant, it does not change over time, but the net voltage across the capacitor will reflect the sinusoidal variation of Vb. This results in a sinusoidal behavior for current and voltage across the capacitor. Understanding these dynamics is crucial for analyzing AC systems involving capacitors.
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.
 

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