Phasors Definition and 75 Threads

  1. Z

    How Does Capacitance Affect Current Amplitude in a Shunted RLC Circuit?

    Homework Statement An emf Vosinwt is applied to a circuit which consists of a self inductance L of negligible resistance in series with a variable capacitor C. The capacitor is shunted by a variable resistance R. Find the value of C for which the amplitude of the current independent of R...
  2. James889

    Parallel RLC, calculating phasors

    Hi, I have the following circuit: [PLAIN]http://img252.imageshack.us/img252/9470/phasor.png I need to find the current i(t). I have come to a point where i don't know how to proceed. I have the inductor and resistor in series. 40 +j120 in phasor form 126.5\angle 71.56 which...
  3. C

    How do I evaluate complex numbers in rectangular form and polar form?

    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...
  4. Q

    Complex exponentials & phasors

    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.
  5. Q

    Solve Complex Math Problem: Adding/Subtracting Phasors

    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...
  6. C

    Finding sum of phasors when real components cancel out

    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 =...
  7. V

    AC Circuit Analysis with phasors- tutorials/video lectures?

    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...
  8. T

    Solving Question on Phasors: Transform into Exponential & Back to Sinusoidal

    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...
  9. J

    So the imaginary component is just -ωCVV*.

    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...
  10. J

    Time Averages and Phasors in Electrical Circuits

    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...
  11. J

    Vector Coordinate Conversion & Phasors

    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...
  12. Pythagorean

    Understanding Phasors: Time & Frequency Domains

    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...
  13. K

    Solving this partial fraction - phasors

    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...
  14. T

    Phasors and Imaginary and Real help

    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...
  15. N

    Phasors & AC-Current: Same Direction?

    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.
  16. C

    Phasors, complex numbers, trig. question

    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...
  17. A

    Phasors and steady-state solutions

    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...
  18. S

    Sinusoids represented by Phasors

    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...
  19. J

    Phasor Diagram Analysis: Determining Leading/Lagging Relationships

    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...
  20. T

    Mesh-Current Analysis, VCCS with phasors

    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 +...
  21. V

    RC circuit analysis using phasors

    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...
  22. I

    Calculating Average Power Supplied from Phasors

    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...
  23. G

    Understanding Resistance and Phasors for Non-Electrical Engineers

    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...
  24. E

    How Do You Add Two Phasors to Find Resultant Amplitude and Phase?

    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...
  25. L

    Why do the imaginary parts of phasors in Kirchoff's Laws add to zero?

    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...
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