Hello,

I have a problem understanding Gauss's law for electric field.

I know that, if I have a distribution of static charges, the divergence of their electric field is equal to the charge density, or that, the closed volume integral is equal to the electric flux. However does the law work for electric fields that have sources other than a static charge distribution?

I give the next example where I have a moving conductive plate inside a static magnetic plate, this gives rise to a motional electric field E= v x B .

I don't see any reason why the product vxB should be divergence free. Since I can impose the velocity I want.

See picture bellow

Thank you in advance