What exactly is a phasor? - Physics Stack Exchange
2016年9月19日 · A phasor is a complex number, representing a sinusoidal function whose amplitude (A), angular frequency (ω), and initial phase (θ) are time-invariant. Image and text from Phasors Wikipedia Assume you have a network composed of multiple sinusoids (waves).
electric circuits - Need help understanding KVL in Phasor Notation ...
2019年3月28日 · The remanding terms are by definition in phasor notation so I substituted the appropriate variable to show that it is a phasor. Now I don't understand why they removed the real part operator since we can have phasors that add up to having a real part that is zero but have an imaginary component that may be non zero.
homework and exercises - Finding frequency from phasor in EM …
2018年10月12日 · The general form of a phasor discribing a plane wave (spherical, cylindrical or Cartesian) travelling in the direction $\hat n$ is $$ \vec E_p=\vec E_0(x,y,z) e^{-jk\hat n\cdot \vec r} $$ where $\vec E_0(x,y,z)\cdot\hat n=0$. The amplitude need not be constant: in the case of a spherical wave it would go like $1/r$ for $\hat n=\hat r$ for instance
Phasor Notation Convention - Which Projection to Consider?
2020年5月19日 · A phasor is a rotating vector. If, at time t it makes angle $(\omega t + \phi)$ with the x axis, its projection (for a phasor of unit magnitude) on to x axis is, by definition, $\cos(\omega t + \phi)$, and its projection on to y axis is $\sin(\omega t + \phi)$. Which of these we choose to represent a sinusoidal displacement, voltage or whatever ...
electromagnetism - Phasor length of current and Voltage in AC
2018年8月12日 · Here is a phasor diagram which I have picked at "random" where the length of the current phasor does not mean much with its direction giving a reference when comparing its phase with the phase of the voltages.
Phasor form of Maxwell's Equations - Physics Stack Exchange
I'm interested in the transformation from the standard Maxwell's equations to their phasor equivalents. From the literature, this means injecting: \begin{equation} E = Re(\boldsymbol{E}e^{j\omega t}) \end{equation}
Kirchhoff's laws in phasor domain - Physics Stack Exchange
2016年4月20日 · When we turn this time-signal into a phasor, I'm calling that process a phasor transform. 'Time-signals' in the time-domain, with corresponding phasor signals in the phasor-domain. I highly recommend getting a text on Linear Circuits. If you know some calculus you should be able to handle it fine.
How to use phasor method for analyzing electrical circuits when …
For the AC analysis, the DC component is zeroed and the phasor voltages and currents are solved for. The total solution is the DC solution plus the time domain AC solution (found by restoring the time variation to the phasors and taking the real part of the result). This assumes the circuit is linear so that such a superposition is valid.
Why do phasors add like vectors? - Physics Stack Exchange
2018年2月5日 · A phasor is actually a complex number, which is isomorphic to $\mathbb{R}^2$, and that's a well known vector space: the usual arrows. Translation: a phasor is a complex number, and you add complex numbers in the same way you do with vectors.
electromagnetism - The electric field in phasor/complex notation ...
2017年11月8日 · It means a combination of the two: the complex amplitude can depend on space, i.e. it is a complex-valued vector field $\tilde{\mathbf{E}}: \mathbb R^3\to\mathbb C^3$, which gives you a space-dependent polarization, \begin{align} \mathbf{E}(x,y,z,t) &=\mathrm{Re}\mathopen{}\bigg[\tilde{\mathbf{E}}(x,y,z)\mathrm{e}^{-i\omega …