Why does no electric current flow through vacuum?

Electric current is the flow of charges. In vacuum, there is no material medium to provide the free charges to move on application of a potential difference. In other words, vacuum is the best insulator.

However, if sufficiently high potential difference is applied to setup a strong electric field, charges can be transferred through vacuum. (Remember the working of vacuum tubes / electronic valves)

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Physics Teachers with more than 15 years of teaching Physics to students up to Plus Two