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The most relevant equation regarding electromagnetic force is the equation that determines the Lorentz Force. This element of an electromagnetic force is what is exerted by the magnetic field on a moving electric charge.
Equation is :

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The electromagnetic force governs the process involved in chemistry which which arise from interactions between the electrons of neighboring atoms.It plays a major role in determining the internal properties of most objects encountered in daily life.

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There are around 70 different equations that apply to electromagnetic forces, which is quite small considering that electromagnetic force, in theory, has infinite range.

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Each proton inside the nucleus of the atom repels the other protons inside of the atom, and is also attracted to the electrons in the atom

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The electromagnetic force usually exhibits many fields, Magnetic, electric, and light

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Electromagnetic force exists between negatively charge and positively charged particles, like electrons and protons.

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Electromagnetic Force is one of the four fundamental forces of nature,  and constitutes physical interaction that occurs between electrically charged particles.