Why might electricity and magnetism be effective methods of collecting indirect evidence about atoms?

Atoms are composed of electrically charged particles and moving electric charges possess an associated magnetic field.

Explanation:

An atom is made up of electrons arranged in shells. Electrons are negatively charged. These charged particles produce an electric field which can interact with an external electric field to give information about atomic structure.

Similarly, a moving electron produces an associated magnetic field which can couple with an external magnetic field to give information about atomic structure.

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