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"from anode to cathode".

Normally, no. Taking a radio valve (electron tube), since the anode is positive compared to the cathode, and since electrons flow from surplus (at the negative cathode) to deficiency (at the positive anode), they do *not* flow from anode to cathode in normal operation.

It's possible to have electrons striking the anode and *knocking off* electrons from it, and then to have those electrons travelling back towards the cathode. This is secondary emission. It was a problem in four-element "tetrode" valves in the early days, but has now been eliminated in practical designs.

Long story short: it's possible, but undesirable and not common.

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