Cowling's Theorem -- from Eric Weisstein's World of Physics

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Fluid Mechanics "> Magnetohydrodynamics v

Cowling's Theorem

Fluid motions cannot generate an exact dipole field or any other field with rotational symmetry. This follows from the hydromagnetic equation (a.k.a. dynamo equation).

Dynamo Equation, Hydromagnetic Equation, Magnetohydrodynamics