- #1

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[tex]

\frac{d}{dt}\left(\frac{\vec{E}\times\vec{B}}{B^2}\right)

[/tex]

Remembering that B is time dependent and E is not, I've calculated the derivative of this as (where a dot above the letter indicates a time derivative):

[tex]

\frac{1}{B^4}\left[B^2(\vec{E}\times\dot{\vec{B}})-2B\dot{B}(\vec{E}\times\vec{B})\right]

[/tex]

Can anyone tell me if this is correct?