Understanding Energy Flow in a DC Circuit with a Capacitor and Resistor"

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In a DC circuit with a capacitor and resistor, electromagnetic energy primarily flows as the kinetic energy of moving electrons. The capacitor acts as an exception, where energy transfer occurs through electric forces rather than direct electron movement between plates. This process involves the transfer of kinetic energy from one electron to another, illustrating the unique behavior of energy flow in capacitors. The discussion raises questions about the nature of electromagnetic energy flow, particularly regarding the lecturer's claim that it does not flow through wires. Understanding this phenomenon is also connected to Poynting's Theorem, which describes energy flow in electromagnetic fields.
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Let's say you have a DC circuit with a capacitor and a resistor.

How does electromagnetic energy flow within the system? Through the wires? In space between and around wires?

N.B. Why/how would EM energy flow in the first place?
 
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In a DC circuit, the energy travels through the circuit primarily as the kinetic energy of the moving electrons. The capacitor, where the electrons may not actually cross from one plate to another, is an exception. There the electric force of one electron, arriving at a plate, pushes an electron off the other plate. That, of course, causes the first electron to stop and the second to move so the electrical force has transferred the kinetic energy from one electron to the other.
 
My lecturer tells me that the EM energy does not flow through the wire! I don't know what to believe, really!

Also, how is this related to Poynting's Theorem?
 
So I know that electrons are fundamental, there's no 'material' that makes them up, it's like talking about a colour itself rather than a car or a flower. Now protons and neutrons and quarks and whatever other stuff is there fundamentally, I want someone to kind of teach me these, I have a lot of questions that books might not give the answer in the way I understand. Thanks
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