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The Maxwell equation with zero on its right hand side in every circumstance is

  • A.\( \nabla \times \mathbf{E} = -\partial\mathbf{B}/\partial t \)
  • B.\( \nabla \times \mathbf{H} = \mathbf{J} + \partial\mathbf{D}/\partial t \)
  • C.\( \nabla \cdot \mathbf{B} = 0 \)
  • D.\( \nabla \cdot \mathbf{D} = \rho_v \)

Answer: C

Correct answer: \( \nabla \cdot \mathbf{B} = 0 \)

The magnetic flux density has zero divergence everywhere and always, which is the statement that no magnetic monopole has been found - magnetic field lines close on themselves rather than beginning or ending on sources. The electric divergence equation has the charge density on its right, and the two curl equations have source terms of their own.

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