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Notion of a “field” is very general, running deep into many fields of physics.
Examples from
fluid
flow : one source,
two sources,
with a ‘sink’
and with a constant
‘external field’.
It is a generic concept for electric charges and fields. Look at the motion in a field.
An intuitively helpful term: “energy density”. ( And we can ask ... what is a “force”? )
‘Field’ : feel the force, repulsive and attractive. Example: how an atom might form.
Interaction of charges: repelling and attracting ... scattering, when repelling and attracting.
The field concept gives rise to a very different way of looking at things.