Maxwell's equations

"Maxwell's equations" is a title based upon conjecture.

Check the behind the scenes section, the revision history and discussion page for additional comments on this article's title.

Maxwell's equations were a series of equations used in classical electrodynamics.

Maxwell's equations, as seen left of the Doctor.

A version of these equations were written on a table in one of the habitation hubs of Sanctuary Base 6. (TV: The Impossible Planet)

Behind the scenes

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Maxwell's equations are named for James Clerk Maxwell, whom the Fifth Doctor once identified as a friend. (AUDIO: The Haunting of Thomas Brewster)

The version of these equations given in the episode are in their differential form. The variables, vectors and operators written include $D$ (the electric displacement field), $\rho$ (the free electric charge density), $B$ (the magnetic field in Teslas), $H$ (the magnetic field in ${\frac {Amperes}{m^{2}}}$), and $\nabla$ (the differential operator). In addition, the fourth equation may or may not include Maxwell's Correction, and thus include $J_{f}$ (the free current density), all shots shown of these equations in the episode are from an angle and distance that make it impossible to tell.