- #1
Storm Butler
- 78
- 0
I was reading feynman's lectures on physics and i came across the 23-2 in volume two where he is talking about a capacitor at high frequencies. He then uses the equations of E and M to come up with an approximation of the electric field between the two plates as the field oscillates at a high frequency. In order to make the approximation better he accounts for the fact that a changing electric field generates a magenetic field. then he corrects the magnetic field according to the corrected electric field, so on and so forth.
In the end he has an infinite series J[itex]_{0}[/itex] that is the bessel funciton.
I was wondering if there would be any way to come up with the sine expansion in a similar way. I was first looking at a circle with arc length [itex]\vartheta[/itex] and trying to show that the length of the chord was rSin([itex]\vartheta[/itex]) but I am not sure how to go about it. Maybe someone has some suggestion of how to do it for a more physical situation similar to how feynman did it.
In the end he has an infinite series J[itex]_{0}[/itex] that is the bessel funciton.
I was wondering if there would be any way to come up with the sine expansion in a similar way. I was first looking at a circle with arc length [itex]\vartheta[/itex] and trying to show that the length of the chord was rSin([itex]\vartheta[/itex]) but I am not sure how to go about it. Maybe someone has some suggestion of how to do it for a more physical situation similar to how feynman did it.