Cherenkov radiation Why the EM waves are constructive

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Cherenkov radiation occurs when charged particles, like electrons, travel faster than the speed of light in a medium, leading to constructive interference of electromagnetic waves. When electrons move slower than light, the emitted waves destructively interfere. This phenomenon is similar to a sonic boom, where an object surpassing the speed of sound creates a shockwave. The discussion highlights the importance of understanding wave interference in different mediums. Exploring these concepts can enhance comprehension of both Cherenkov radiation and sonic booms.
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I was reading an article about Cherenkov radiation in wikipedia. If the electron moves slower than light the EM waves in the medium are destructive and if they travel faster than light waves are constructive .Why so?When the electron travels faster than light the radiations cannot interfere since they have equal direction and speed.(I think so).Please give me an explanation.
 
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id like to that as well.
 
It might be instructive to study the analogous situation of a "sonic boom" produced by an airplane moving faster than the speed of sound. Note the diagrams (especially the one labeled "Mach cone angle") and animation:

https://en.wikipedia.org/wiki/Sonic_boom
 
Thread 'Motional EMF in Faraday disc, co-rotating magnet axial mean flux'

Thread 'Motional EMF in Faraday disc, co-rotating magnet axial mean flux'

So here is the motional EMF formula. Now I understand the standard Faraday paradox that an axis symmetric field source (like a speaker motor ring magnet) has a magnetic field that is frame invariant under rotation around axis of symmetry. The field is static whether you rotate the magnet or not. So far so good. What puzzles me is this , there is a term average magnetic flux or "azimuthal mean" , this term describes the average magnetic field through the area swept by the rotating Faraday...
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