Charge is difficult to define. It is property of particles that describes how particles interact with other particles.
In general, the terms are negative and positive, with differing amounts of each, quantified as some multiple of the fundamental charge value (e):
e = 1.6 x 10^-19 C
That's hard to visualize, since a coulomb (c) is a huge amount of charge. One coulomb, for example, is the charge due to:
1 coulomb = charge due to 6.3 x 10^18 protons
A typical cloud prior to lightning may have a few hundred coulombs of charge - that's an enormous amount of excess charge.
If the charge is negative (-), the excess charge is electrons.
If the charge is positive (+), the excess charge is protons - however, we can NOT easily move protons. That usually takes a particle accelerator. Typically, things are charged positively by REMOVING electrons, leaving a net charge of positive.
Other things to remember:
Neutral matter contains an equal number of protons and electrons.
The nucleus of any atom contains protons and (usually) neutrons (which carry no charge). The number of protons in the nucleus is called the atomic number, and it defines the element (H = 1, He = 2, Li = 3).
Electrons "travel" around the nucleus in "orbitals." See chemistry for details. The bulk of the atom is empty space.
Like types of charge repel. Opposite types of charge attract.
The proton is around 2000 times the mass of the electron and makes up (with the neutrons) the bulk of the atom. This mass difference also explains why the electron orbits the proton, and not the other way around.
Protons in the nucleus of an atom should, one would imagine, repel each other greatly. As it happens, the nucleus of an atom is held together by the strong nuclear force (particles which are spring-like, called gluons, keep it together). This also provides what chemists called binding energy, which can be released in nuclear reactions.
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