Question: The magnetostatic equation B = 0 j is not consistent with conservation of charge for a general time-dependent charge density. Show that

The magnetostatic equation ∇ × B = μ₀j is not consistent with conservation of charge for a general time-dependent charge density. Show that consistency can be achieved using ∇ × B = μ₀j + j_D and a suitable choice for j_D.

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