As 1 coulomb electrons go through 1 volt of potential difference, they gain 1 joule of energy. So in s series circuit, do electrons move faster towards the end of the circuit where they went though a larger potential difference? If so, how is the current through a series circuit constant?
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You need to clarify what the circuit is. Assuming it is built from wires, resistors, etc, you might want to look at "Speed of electrons in a current-carrying metallic wire: does it even make sense?", "Drift velocity in Drude model", "Why doesn’t drift velocity increase along a wire?". – David Bailey Feb 11 '24 at 15:18
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If that circuit is an accelerator beam pipe, then: yes, that's the point.
If it's something with plain old resistance, then they loose $IV\tau = 1\,{\rm J}$ of energy to resistive heating, where tau is the unspecified time over which this 1 C drops 1 V.
JEB
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