This should be simple but I know I'm going wrong somewhere and I can't figure out where.(adsbygoogle = window.adsbygoogle || []).push({});

The curl of a electric field is zero,

i.e. [itex]\vec { \nabla } \times \vec { E } = 0[/itex]

Because ,no set of charge, regardless of their size and position could ever produce a fieldwhose curl is not zero.

But,

Maxwell's 3rd Equation tells us that,

the curl of a electric field is equal tothe negative partial time derivative of magnetic field [itex] \vec {B}[/itex].

i.e. [itex]\vec { \nabla } \times \vec { E } = -\frac { \partial }{ \partial t } \vec { B } [/itex]

So is the curl zero or is it not? If we equate those two equations we get that the time derivative of magnetic field is zero. What's wrong? What am I missing?

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# What is the curl of a electric field?

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