Welcome to our site! EDAboard.com is an international Electronics Discussion Forum focused on EDA software, circuits, schematics, books, theory, papers, asic, pld, 8051, DSP, Network, RF, Analog Design, PCB, Service Manuals... and a whole lot more! To participate you need to register. Registration is free. Click here to register now.
whenever at any point in the space you have changing magnetic field you have curl of the electric field; you get generally non conservative electric potentials; so going a loop in space makes a net change in energy;
curl is a wonderful concept.its what accounts for em wave propagation.imagine a waterpipe closed at one end.now when the liquid flowing in the wire encounters this closed end,it circulates in the pipe this is curl effect.for further details u can always look into feynman's physics book(vol.2 on electromagnetics)
here is the kicker.. your analogy makes it very clear that the energy associated with the curl vector (its moving, so must have energy) is entirely contained WITHIN the pipe.. the water can't leak out of the metal pipe after all..
mathematically speaking, this would be like integrating about the closed path.. where one looks at what is within the border of the integral.
here is the assumption with this analogy and math:
that there is NO energy outside the pipe wall, or if you give the benefit of the doubt, there is no "practically usable" energy outside the wall of the pipe.
what then is the significance of the Heaviside Component?
Respectfully, rotation can be misleading. The essence of the curl is transverse change. In a 3D vectorial field, if your component in one direction has a variation in the transverse direction, it will induce a curl.
For example, if your x-component of the vector varies as you move along the y or z direction, it will induce a curl. For the nice water pipe analogy mentioned about, the curl is induced at the boundary of the water flow (the transition from a point with flowing water just inside the pipe to just outside the pipe where there is no flowing water).
This site uses cookies to help personalise content, tailor your experience and to keep you logged in if you register.
By continuing to use this site, you are consenting to our use of cookies.
