that's what I'm wondering myselfSimon Bridge said:... and what do you get?
Simon Bridge said:Well do the maths and see ... i.e. can you change the order between the time-partial and the div in that last equation?
If I don't see how you are attempting the problem I don't know how it is a problem for you so I don't know how to help you.
The zero-divergence of rate of change of magnetic flux is a physical law that states that the net flow of magnetic field lines into any closed surface is zero. This means that the amount of magnetic flux entering a surface is equal to the amount of magnetic flux leaving the surface.
This law is important because it is a fundamental principle in electromagnetism and is essential for understanding and predicting the behavior of magnetic fields. It also has practical applications in various fields, such as in the design of electronic devices and magnetic sensors.
The zero-divergence of rate of change of magnetic flux is essentially the magnetic analogue of Gauss's law, which states that the net electric flux through a closed surface is equal to the enclosed electric charge. Both laws involve the concept of flux and show that the net flow of a certain quantity through a closed surface is zero.
No, zero-divergence of rate of change of magnetic flux is a fundamental law of electromagnetism and cannot be violated. In fact, it has been extensively tested and found to hold true in all observed cases.
This law can be expressed mathematically using the divergence theorem, which states that the flux of a vector field through a closed surface is equal to the volume integral of the field's divergence over the volume enclosed by the surface. In the case of magnetic flux, this integral will always equal zero, hence the law of zero-divergence.