Confused about Phasor Math and the Power Rule?

tempneff · 2014-12-09T03:02:13+00:00

I'm told that (e^{j \omega})^{-2} = e^{-2\omega}...? I thought by the property (a^b)^c=a^{bc} it should equal e^{-2j\omega} What am I missing?

Thread starter tempneff
Start date Dec 8, 2014
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Phasor

In summary, a phasor is a complex number used to represent sinusoidal waves in mathematics. It simplifies the analysis of electrical circuits and is particularly useful in AC circuit analysis. Phasor math is specifically designed for sinusoidal waves and cannot be applied to non-sinusoidal waves. Its usefulness in electrical engineering lies in its ability to make calculations easier and faster, as well as providing a visual representation of sinusoidal signals for better understanding of circuit behavior.

Dec 8, 2014

tempneff

I'm told that [itex](e^{j \omega})^{-2} = e^{-2\omega}[/itex]...?
I thought by the property [itex](a^b)^c=a^{bc}[/itex] it should equal [itex]e^{-2j\omega}[/itex]
What am I missing?

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Dec 8, 2014

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FAQ: Confused about Phasor Math and the Power Rule?

1. What is a phasor in mathematics?

A phasor is a mathematical representation of a sinusoidal wave. It is a complex number with a magnitude and phase angle, and is used to simplify the analysis of electrical circuits.

2. How is phasor math used in circuit analysis?

Phasor math is used to convert sinusoidal signals into complex numbers, allowing for easier calculation and analysis of electrical circuits. It is especially useful in AC circuit analysis.

3. What is the difference between a phasor and a complex number?

A phasor is a specialized type of complex number that only represents sinusoidal waves. It has a magnitude and phase angle, while a general complex number has a real and imaginary component.

4. Can phasor math be applied to non-sinusoidal waves?

No, phasor math is specifically designed for sinusoidal waves. It cannot be applied to non-sinusoidal waves as it relies on the properties of sinusoidal functions.

5. Why is phasor math useful in electrical engineering?

Phasor math is useful in electrical engineering because it simplifies the analysis of AC circuits, making calculations easier and faster. It also allows for a visual representation of sinusoidal signals, making it easier to understand and interpret circuit behavior.