What is an equipotential surface?

Why are conductors equipotential surfaces? Here we explore the consequences of charge being able to move inside a conductor, and where the electric fields point near the surface of a conductor (outside). We then show that this must lead to the electric potential being the same everywhere on the conductor, known as an equipotential surface.
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This is part of my series on introductory electromagnetism, where we explore one of the fundamental forces of nature - how your phone charges and communicates with the rest of the world, why you should be afraid of the sun, and the fundamentals of electric and magnetic forces and fields, voltages,

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