If sin and cos represents the same function then why both term mentioned separately in the formula
why sin term is mentioned every where in texts book while forming signals not cos function.
AC monophase voltage is produced by AC generators as a sine wave and not a cosine wave.
AC monophase voltage is produced by AC generators as a sine wave and not a cosine wave.
There is nothing we prefer or do not prefer, it is the way it is. AC monophase generator gives you sine wave and nothing more i.e. without phase shift. (Because of laws of electromagnetics..)If sin and cos are same function then why AC voltage is preferred to produce in sin but not in cos.?
any well behaved function can be the decomposed into a set of periodic functions (sin(nx) and cos(nx), in your example) and both are needed for the accurate description (you can write sin(nx+phi-n) but that is less elegant). sin(nx) and cos(nx) are the quadrature components.
Of course you can't. The assignment makes only sense if you can define an origin in time and a respective symmetry. That's impossible (or meaningless) for a steady state signal.Then can we say it like, AC Generators produce odd signal not even signal.?
The basic definition of AC single phase generation we assume (and set) the origin of time in manner that there is no initial phase.The assignment makes only sense if you can define an origin in time and a respective symmetry. That's impossible (or meaningless) for a steady state signal.
Now you can see that this is a complex transformation and every such transformation has two components: one is real part and the other is imaginary part.
Engineers call that the Fourier transformation gives the result in quadrature.
Arbitrary as well, I think. It all depends on how you define the rotor angle.but the derivate from Faraday-Lenz's law will always give you a sine (in this special case).
Why complex quantity(i or j) presents in FT/FS? Is it because of our sample signal is complex or this FS/FT is a complex transform.
I am not able to understand this. Please elaborate this.
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