How does current flow through a capacitor?

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Current does not flow through a capacitor in the traditional sense, as the plates are separated by a dielectric. Instead, when a DC voltage is applied, electrons accumulate on one plate while depleting from the other, creating a voltage difference. This charge transfer continues until a specific charge, determined by the capacitance and voltage, is reached. As the charge builds up, the current in the circuit decreases exponentially, eventually stabilizing. The process illustrates how capacitors store energy without allowing direct current flow through them.
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this is a fundamental thing that has been bothering me
does current even flow through a capacitor at all??
the plates are separated right, so I would think no

I can imagine the electrons coming out of the battery and collecting on the capacitor plate, and pushing the ones on the other side, but will electrons collect indefinitely on one side, and create a sort of vacuum of electrons of the other side since they are absorbed into the battery or what? (this is probably wrong right?)
can someone explain to me what what is going on?
 
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The current would only flow through if the dielectric of the electric field is broken. At that point it isn't capacitative.

Normally though the charge builds up on either side and the current in the entire circuit goes to zero exponentially. The charge is stored on the capacitor.
 
for a capacitor in a DC circuit (if the dielectric between the plates does not break down), a battery will transfer electrons to one plate while depleting electrons from the other. this process produces a Voltage between the plates. this charge transfer will stop when a total charge Q has been transferred such that:

Q \ = \ C*V

where C is the capacitor's capacitance (usually a constant with units of Farads) and V is the voltage built up between the plates (usually the battery voltage in a DC circuit).
 
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thank you, that helps clear things up
 
When you apply a D.C Voltage in parallel with capacitor , a potential difference is applied across the plates of the capacitor, due to this potential difference , the electron start moving towards hgher potential, this is how the current starts flowing throught the capacitor. Whenever you think about current , think about the movement of electrons.

Further, as current through starts increasing , the electric field developed which stops further accumulation of electrons. Therefore the current keeps on decreasing in the circuit while charge resting on the plates starts increasing . The charge accumulation increases exponentially and attains an equilibrium situation at infinity time.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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