Sep 19, 2016 · Think of a combination of the complex plane and ordinary vectors. 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).

Feb 5, 2018 · Phasors are used to represent sinusoidals. So why do they add like vectors? Why is it that when I add two sinusoidals in the form of phasors and add them like vectors, I get the right phase and magnitude and everything? Note: I wasn't sure whether this was a physics question or a mathematics question. Posted it here anyways.

Mar 10, 2019 · In RL circuits (AC source) we use vectors to calculate the total voltage, I understand that we cannot add them algebraically because they do not exist at the same time as we are using rms values fo...

Apr 20, 2016 · While analysing AC circuits, we write voltage, current etc all with complex numbers namely "phasors". While studying the same, I wondered if Kirchhoff's laws held good with current and voltage in their phasor form.

Mar 9, 2019 · To be clear, are you asking about adding time domain voltages (point wise) or adding the phasor domain voltages? Typically, AC circuits are analyzed in the phasor domain where the (phasor) voltages are complex constants. But, in your question, you're talking about time varying voltages so you must be thinking time domain? But in the time domain, voltages are simply added together. Please ...

Dec 5, 2016 · The analysis of an a.c. circuit is facilitated by the use of phasor diagrams. In an a.c. circuit, voltage and current are represented by phasors i.e. rotating vectors. Now, both voltage and curren...

Jul 31, 2024 · In fields of physics such as acoustics and electromagnetism, we often deal with physical quantities that are both vectorial and oscillating. These can be represented as vectorial phasors, $$ \\vec{b...

Mar 28, 2019 · 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.

Apr 5, 2016 · I was learning about the phasor representation of AC circuits, and on adding two out of phase phasors they were each resolved in to a horizontal and vertical component to facilitate the addition. W...

Mar 31, 2024 · In a homogeneous waveguide, both propagating TE and TM waves, modes, can be derived from the scalar Helmholtz equation. Let ∂ = 0 ∂ B = 0 denote the metal boundary of the cross section. Denoting the wavenumber in the guide by β β and κ2c +β2 = k20 κ c 2 + β 2 = k 0 2, then the harmonic wave propagating as e−βz e − β z along the z z axis satisfies ∇2x,yf(x, y) +κ2cf(x, y) = 0 ...