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 Quote by back2square1 The curl of a electric field is zero, i.e. $\vec { \nabla } \times \vec { E } = 0$
That should read, "the curl of an electrostatic field is zero," that is, the electric field associated with a set of stationary charges has a curl of zero. In this situation, there is no magnetic field, so ##\partial \vec B / \partial t = 0##.