Fourier series is a way to express a periodic function as a sum of complex exponentials or sines and cosines.. Is there actually a proof for the fact tat a periodic function can be split up into sines and cosines or complex exponentials?
How an em wave propogates??
i understand that an em wave can be produced due to an oscillating electric field or oscillating magnetic field... but how does this wave move forward at the speed of light??
so does this all mean that spacetime is curved into a higher dimension but since we cannot imagine it we r using tools to manipulate it in lower dimensions... like the surface of Earth is brought onto a map..
but drawing a 2D surface on a sphere means there is a third dimensiion... if its similar to tat then that means there is a fifth dimension for spacetime to curve into..
or does curved space time mean that it is just different from the ordinary euclidean space time?? is it not actually curved...
maybe this question is stupid... :)
is there any physical significance in taking curl(curl(E)) when deriving the electromagnetic wave equation from maxwell's equations..
according to GR spacetime is curved coz of the matter and energy present in the universe... many of the books and tv programmes shows this using a rubber sheet being curved by a heavy ball.. the rubber sheet is 2 dimensional and it is being curved into the third dimension.. but spacetime cannot...
so does this mean that these 2 equations are just a way to say faradays law and ampere circuital theorem in the differential way... so these equations does not have a physical significance ?
my interpretation when i saw the fourth equation was that a circulating magnetic field is produced due to a current flow or a change in magnetic field... like a current carrying wire has a circulating magnetic field around it...
and a circulating electric field is produced due to change in...
"Rotating" is not the best description. The curl of a vector field is its rate of change perpendicular to its direction.
cud u please explain this clearly?