The discussion revolves around the mathematical manipulation of the time derivative of the electric field crossed with the magnetic field, specifically examining the expression \(\frac{\delta\vec E}{\delta t}\times \vec B\). Participants are exploring identities and rules that may simplify this cross product within the context of electromagnetism.
The discussion is active, with participants asking clarifying questions and providing partial guidance regarding the use of the product rule and the determinant form. There is an acknowledgment of the need for specific expressions for the electric and magnetic fields to proceed further.
Participants note that the electric field is a function of time and that a Cartesian coordinate system is being used for the analysis. There is an implication that additional information about the fields may be necessary for a complete discussion.
Fair enough. Take the derivative and use the determinant form of the cross product. That should get you what you need.gjfelix2006 said:of course E is a function of time, and i think for simplicity the coordinate system is cartesian. Thanks