A Derivation of Maxwell's Equations from First Principles

This is the second of a series of short papers exploring various aspects of quantum mechanics and quantum field theory. The intent of the full series of articles is to take the reader/student from a basic starting point (somewhere around high school / first year undergraduate maths/ physics/ engineering) to an understanding of relativistic quantum mechanics that would be appropriate for a third/fourth year undergraduate or early stage postgraduate. This particular article is a derivation of Maxwell's Equation from first principles, meaning with no a priori knowledge of the form of the equations, or even of the form of the electric and magnetic fields.