Phasors Definition and 73 Threads

Homework Statement Evaluate the following complex numbers (results in rectangular form): \frac{10 + j5 + 3\angle 40^{\circ}}{-3 + j4} + 10 \angle 30^{\circ} Homework Equations I know that the solution is: 8.293 + j2.2 But i get a different answer. The Attempt at a Solution Convert into...

Homework Statement x(t) = 2sin(\omega0t + 45o) + cos(\omega0t) Express x(t) in the form x(t) = Acos(\omega0t + \phi) The Attempt at a Solution I don't really know when to begin; I can't find anything about it in the textbook.

Ok, I'm trying to wrap my head around phasor notation. I think part a is correct, not sure of the difference for subtraction and converting phasor to polar notation. Any help is appreciated! Problem: For A=5<36.9 and B=5<53.1 a)Calculate the sum A+B b)Calculate the difference A-B...

Homework Statement I'm working on a problem where I have to add two phasors together. The problem is, the real parts cancel out and I can't figure out how to express the phase because arctan(y / 0) isn't defined. Homework Equations x1 = 10<45 degrees x2 = 10<135 degrees x1 + x2 =...

I'm having a bit of trouble understanding how phasors/complex numbers are used to solve circuits which include capacitor, inductor and resistor components. Has anyone come across video lectures/youtube tutorials/websites that provide comprehensive solutions to a whole bunch of...

Hi everyone! I understand the general concept but I came across a function such as: E(t)= 0.1 sin[10(pi)x]cos[6(pi)10^9t - Bz] I'm supposed to combine them using phasors and I'm really confused how to a) Transform it into the exponential function b) Transform it back in the...

For the following, I was wondering if someone could help me determine the imaginary part of the complex number: Im<GVV* - j\omega CVV*>, where V* is the complex conjugate of V. I was thinking the imaginary component would be -\omega CVV*. But I am reluctant on the conclusion, because I am not...

Current and Phasors Statement: A simple circuit is given, such that the AC power source "V" is in parallel with a resistor "G" (why would it be denoted by G instead of R?), and also parallel with a capacitor "C". Relevant equations: Converting the circuit to phasors, the current from the...

I would attempt to solve these questions with "relevant equations", but my questions simply derive from an attempt of understanding class notes. If someone could attempt to help my understanding, that would be great. I've attached the PDF file that contains my corresponding questions...

what's a phasor? What's the phasor domain? I've worked with them in my courses and I can move from the time domain to the phasor domain, but I still don't quite intuitively get what a phasor is. In physics, we move between the frequency domain and time domain easily, but they're both...

I'm having some difficulty Solving this partial fraction: (3.84e7)/(s(s^2+6.4e4s+1.6e9))= (3.84e7)/(s(s-3.2e4+j2.4e4)(s-3.2e4-j2.4e4) how do u find the angle? I know the equation but I don't know how to find the B with it conjugate. eq: 2B/_theta but I don't know how to...

Ok so i just want to clear up something about phasors and just circuit input functions in general. So based on the imaginary and real graph, where imaginary is like the y-axis and the real is the x axis, when let's say a circuit falls on the imaginary axis is it considered a stable circuit? Do...

Hi all. If I have a current going from A to B with a phase of 0.78 (radians) at time t, and a current going from B to A with a phase of 0.78+Pi = 3.93 at the same time t, does this mean that the currents are going the same way? Thanks in advance. Niles.

Homework Statement Two "waves", characterized by cosx and cos^2(x/2) interfere. Using phasors or complex numbers or trigonometry as necessary, aggregate "cosx + 2cos^2(x/2)" - i.e. rewrite as a single cosine. Homework Equations I was told that there is an error in the way this questions...

Homework Statement use phasors to evaluate the steady-state solution to the equation f'' + 1.5f' + f = Ce^2tj Homework Equations The Attempt at a Solution let f = Ce^2tj (this is a 'trial solution', i think) f' = 2tCe^2tj f'' = 4(t^2)Ce^2tj therefore 4(t^2)Ce^2tj + 3tCe^2jt...

1. Find the sinusoids represented by these phasors: (a) I = -3 + j4 A 3. well to convert first to polar they got the following they didnt show their steps: I = 5 <126.87 then they said i(t) = 5 cos(wt + 126.87) What I don't get is the fact that how they got 126.87...

Homework Statement Let's say I have (1) 6<-9 and (2) 6<189 I don't have a problem drawing the phasors out, however, I am having a bit of difficulty determining how to 'read' the diagram and tell how one leads/lags the other. In the example I've given, I draw out the phasors but...

http://img247.imageshack.us/img247/7035/problemso9.jpg Ok so I have to do mesh-current analysis and I think I'm doing it correctly but my answer doesn't match the one given. This has to be done using phasors. I labeled my meshes from left to right 1, 2, and so on. Mesh 1: 33.8 = 1I1 + j2I1 +...

Homework Statement I can't post pictures as I do normally, so you'll have to deal with the cumbersome attachment method! It's just a simple RC circuit. Resistor on top, capacitor on right side with the sinusoidally varying voltage source on the left...

Ok i have been given two trigonometric functions and asked to give them as phasors, and then calculate the average power supplied from this. v = 311 sin (200t+7\circ) V i = 14 sin (200t - 16\circ) A I'm used to the trigonometric functions being in the cosine form, what difference will this...

Resistance and Phasors? Hi I am a Mechanical engineer but I am taking a module in electrical, which isn't my strong point. Please can someone explain the differnce between bilateral and unilateral resistance and what is a good website to help me understand phasors and sinusoidal quantities...

Hoping someone can give me a nudge in the right direction for this..ive tried searching the net and unless I am putting in the wrong keywords, there doesn't seem to be much useful material out there for this. I need to add together two phasors to find the resultant amplitude and phase of each...

Something's bugging me. Suppose we take kvl around a loop in a circuit, we have: v1(t)+v2(t)+...=0 Suppose v1, v2, v3(t) are all sinusoidal (they can be written as Acos(wt+s)). So we have A1cost(wt+s1)+A2cost(wt+s2)+...=0 Suppose we replace all of them by their phasors, this should...