- #1
nhrock3
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oiler formula says
cosx+isinx
but here they multiply by minus the imaginary part of the phasor representation
the coefficient of sine is minus the imaginary part
why??
nhrock3 said:oiler formula says
cosx+isinx
but here they multiply by minus the imaginary part of the phasor representation
the coefficient of sine is minus the imaginary part
why??
LCKurtz said:That's "Euler" formula. A Frenchman, not a oil tanker. And I suppose you mean the identity
CEL said:A nitpick: Euler was Swiss, not French.
A phasor is a complex number representation of a sinusoidal function. It includes both the magnitude and phase of the function. In contrast, a normal function only includes the magnitude of the function and does not take into account its phase.
The transition from phasor to normal can be a problem because it involves converting a complex number into a real number. This can be a difficult and error-prone process, especially for more complex phasors. Additionally, the phasor representation is often more convenient for mathematical calculations, making the transition to a normal function less desirable.
One technique is to use the inverse Fourier transform, which allows for the conversion of a phasor into a normal function. Another technique is to use the properties of phasors, such as Euler's formula, to simplify the conversion process. Additionally, using complex analysis methods can also aid in solving problems in this transition.
Problems in transitioning from phasor to normal often arise in the fields of electrical engineering and physics. This is because phasors are commonly used to represent and analyze AC circuits, electromagnetic waves, and other oscillating systems. In these applications, the conversion to normal functions is necessary for further analysis and calculations.
One drawback is that phasors do not capture the full complexity of a function, as they only represent the magnitude and phase. This can lead to loss of information and potential errors in calculations. Additionally, phasors may not be as intuitive to understand as normal functions for some individuals. However, in many cases, the convenience and efficiency of using phasors outweigh these drawbacks.