<Dd> ∇ ⋅ (∇ × B) = 0 = μ 0 (∇ ⋅ J f + ∂ ∂ t ∇ ⋅ D), (\ displaystyle (\ boldsymbol (\ nabla \ cdot)) \ left ((\ boldsymbol (\ nabla \ times B)) \ right) = 0 = \ mu _ (0) \ left (\ nabla \ cdot (\ boldsymbol (J)) _ (f) + (\ frac (\ partial) (\ partial t)) (\ boldsymbol (\ nabla \ cdot D)) \ right) \,) </Dd> <P> which is in agreement with the continuity equation because of Gauss's law: </P> <Dl> <Dd> ∇ ⋅ D = ρ f . (\ displaystyle (\ boldsymbol (\ nabla \ cdot D)) = \ rho _ (f) \ .) </Dd> </Dl> <Dd> ∇ ⋅ D = ρ f . (\ displaystyle (\ boldsymbol (\ nabla \ cdot D)) = \ rho _ (f) \ .) </Dd>

Which of the following terms in the general form of ampére's law is called the displacement current