(1) Write down the expressions for the electric field E(r,t) and the magnetic flux density B(r,t) in terms of the electric scalar potential Ф(r,t) and the magnetic vector potential A(r,t).

(2) Now we make new potential functions: A'=A+▽φ and Ф'= Ф-dφ/dt(this is partial differentiation), where φ is an arbitrary scalar field. Show that the electric and magnetic fields are unchanged in terms of these new potential functions. Discuss the physical meaning of this result.

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