since,(adsbygoogle = window.adsbygoogle || []).push({}); B=curl(A), curl(E)= -[itex]\partial[/itex]B/[itex]\partial[/itex]t

1)curl(E)=- [itex]\partial[/itex]/[itex]\partial[/itex]t(curl(A))

2)curl(E+[itex]\partial[/itex]A/[itex]\partial[/itex]t)=0

3)then since curl([itex]\nabla[/itex]V)=0,

E+[itex]\partial[/itex]A/[itex]\partial[/itex]t =- [itex]\nabla[/itex]V

E= -[itex]\nabla[/itex]V -[itex]\partial[/itex]A/[itex]\partial[/itex]t

I'm confused about how to go from step 1 to step 2. The first thing I did was add the right side to the left to get: curl(E)+[itex]\partial[/itex]/[itex]\partial[/itex]t(curl(A))=0

I know there's a property that says

aX (b+c) =aXb+aXc

But what about the -[itex]\partial[/itex]/[itex]\partial[/itex]t ? How would I deal with that?

Thank you.

edit: perhaps this should be in the calculus section?

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# Deriving electric field strength in terms of retarded potentials

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