Phasors 

I play at 2x very nice😊

i play at 3x speed

I think because in all practical applications the frequency (w) is the same throughout so it can be ignored.

As electrical engineers we usually work with LTI's (linear time invariant systems). For any such system all exponential functions are eigenfunctions (meaning the output will be the same exponential, only scaled by a certain eigenvalue). Considering that whatever signal you give this system can be represented as a sum of sinusoids/exponentials, it is better to study only the things that change. That is to say, omega will never change, the only things that can change about a signal by passing it through a system is amplitude and phase.

@@MrRiceroniYes

I have same questions

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@@saranshgupta9119 welcome to Feku country.

Biz ytüden geldik aslan

U r dumb

We do phasor analysis only when we have constant frequency. The time exponential component is implicitly present. Actually, it is the only thing responsible for phasor rotation at a constant angular frequency “ω”. Let’s take an example, V(t)=VmCos(ωt+ϕ) If we convert it in exponential form we’ll get, V=Vm.e^(ωt+ϕ) V=Vm.e^(ϕ).e^(ωt) e^(ωt) is responsible for phasor rotation in phasor domain. Just like the animation we’ve seen in this video. We neglect it for simplicity or to get the form of polar complex number. Suppressing it will not affect our results. If we again convert exponential form to time domain we’ll get, V(t)=VmCos(ωt+ϕ) It’s for our understandings. Since we’re only dealing with real part of Euler’s equation. This is also true when we’re working with imaginary part.

Yash Raj no. the reason is we can only do phasor analysis (lagging/leading) for entities rotating at the same speed(ω). Hence, the rotating factor is irrelevent (since we're in a situation where all signal speeds are the same).

At least that explanation uses phi over theta.

Hi, in a AC linear circuit, every component has the same sinusoid and the same "w", therefore you can suppress it to operate with phasors (complex numbers, since they are much easier to manipulate).

In electrics we takes 'j' to explain imaginary quantity as 'i' represents current :)

I am so used to using i, but the reason for substituting j makes perfect sense.

It is just sign we use one thing for many we use omega for angular velocity, resistance and cube root of unity

🤣

If we express amplitude and phase angle of an alternating signal by real numbers, sometimes it will be more clumsy and lengthy.For example,if we want to calculate the resultant amplitude and phase of two or more alternating signal then by using trigonometric functions it will be more difficult to us, that's why phasors is an important tool for us to calculate amplitude and phase of alternating signal.

same question here lol

Phasor is a complex no used to represent sinusoidal functions whose amplitude, phase and angular frequency are independent of time.