Understanding Capacitors in DC Circuits

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In a DC circuit with a resistor and capacitor in series, the circuit is indeed complete despite the capacitor's dielectric, as current flows to charge the capacitor until it reaches the applied voltage. Initially, there is current flow through the resistor while the capacitor charges, but once fully charged, the current stops, resulting in no flow through the capacitor. When a light bulb is added in parallel to the capacitor, it allows the stored energy in the capacitor to discharge, causing the bulb to light up momentarily before going off. The key point is that while DC current does not flow through the capacitor, it can still influence the circuit by charging and discharging. Understanding this behavior clarifies how capacitors function in DC circuits.
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Homework Statement


I have just started learning about capacitors and my question is when you have a DC voltage source connected in a circuit which also has a resistor and capacitor all in series, i.e. a basic charging circuit, is this circuit complete, since there is an air gap or non conductive dielectric in the capacitor there will no flow of current. Let's say to the same circuit we connect a light bulb in parallel to the capacitor than the capacitor will discharge and the light bulb will light up and than go off again. How this be possible if there is no flow current in the circuit since DC current cannot pass through capacitors. How is the circuit formed in this case.
Code:
-------R-----
|                |
V               C
|                |
-------------

-------R------------
|                |        |
V               C      Bulb
|                |        |
--------------------



Homework Equations





The Attempt at a Solution


So in the case of capacitor charging i.e. without the light bulb there will be no current flow in the circuit because the capacitor will not pass DC current, i.e current across resistor R will be zero and in the case of capacitor discharging the current will also be zero since DC current does not flow through capacitor. When you put a capacitor in the DC circuit are you not just creating a break in the circuit than how can this circuit function, i.e. we do not have flow of electrons. The question is what am i missing to understand how the capacitors behave in a DC circuit and how is the circuit completed...
 
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Though current cannot flow through air gap/dielectric in the capacitor, charges can flow from both plates of capacitor (outwards) into the circuit through R and V in order to charge the capacitor. So even in a DC circuit, current flows in the circuit (not through/inside the capacitor) when R and C is connected till C is charged to applied voltage V.
 
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