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.

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

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

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)^[1], $\rho$ (the free electric charge density)^[2], $B$ (the magnetic field in Teslas)^[3], $H$ (the magnetic field in ${\frac {Amperes}{m^{2}}}$ )^[4], and $\nabla$ (the differential operator)^[5]. 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.

Footnotes

[1] ttps://en.wikipedia.org/wiki/Electric_displacement_field

[2] ttps://en.wikipedia.org/wiki/Charge_density

[3] ttps://en.wikipedia.org/wiki/Magnetic_field

[4] ttps://en.wikipedia.org/wiki/Magnetic_field

[5] ttps://en.wikipedia.org/wiki/Nabla_symbol

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