Phasor Definition and 143 Threads

Homework Statement Homework Equations lambda= 2*pi / k Ei(z), Ei_perpendicular (z), Ei_parallel(z) eq. epsilon_r1=1, epsilon_r2=2.25 eta_1=120*pi, eta_2=80*piThe Attempt at a Solution I having trouble understanding some parts of this problem. i get k1=3.61, k2=5.42 and for d)...

I'm told that (e^{j \omega})^{-2} = e^{-2\omega}...? I thought by the property (a^b)^c=a^{bc} it should equal e^{-2j\omega} What am I missing?

Homework Statement In the circuit shown in Figure Q2(b), two loads A and B are connected to the source. The cable connecting the power supply to the load is modeled as series R and L of values R = 0.1Ω, L = 0.1 mH as shown in the figure. The loads have the following specifications...

Homework Statement I have ##V = 25cos(1000t)## and ##I = Acos(1000t)## for a circuit, I'd like to make those into phasors.Homework Equations ##V = Acos(\omega t+\theta)## ##\leftrightarrow## ##V = Ae^{j\theta}##The Attempt at a Solution It seems like this is relatively simple, but that seems...

Consider two voltage phasors: V1 = 1 volt @ 50°, and V2 = 1 volt @ 30°. It follows then that the relative phase shift between these two phasors can be expressed by any of the four following descriptions in terms of leading and lagging angle relationships. 1.) V1 Leads V2 by 20° 2.)...

Hello, Can someone show me how the inverse Phasor transform of the sum of individual Phasors of sinusoidal functions of the same frequency is the sum of the sinusoids? I could not find any rigorous proof and help appreciated. Thanks.

Convert the following phasor to sinusoid: V = 169\angle-45degrees where f = 60Hz The answer given is 169cos(377t - 45degrees) V I am sure I am missing something, but how does the frequency go from 60 to 377?

As I am trying this problem, I convert the current source to e^(j30°). I am not sure what I should do with that. I added it to the other current source that I did a source transformation on. By the way, all the components should have the same frequency as the voltage source, right? The frequency...

Homework Statement Calculate the phasor notation for -43.62+j20.52 My answer is 180 degrees off and I don't know why you add it in this case. I just want to know how to calculate angle, the magnitude I found fine. Homework Equations tan-1(X/R)The Attempt at a Solution tan-1(20.52/-43.62) =...

I understand that the voltage phasor for a resistor is in phase with the current phasor in a simple ac circuit consisting of only an AC voltage source and the resistor. I understand that the voltage phasor for a capacitor is pi/2 radians behind the current phasor for an AC circuit consisting...

I understand that the voltage phasor for a resistor is in phase with the current phasor in a simple ac circuit consisting of only an AC voltage source and the resistor. I understand that the voltage phasor for a capacitor is pi/2 radians behind the current phasor for an AC circuit consisting...

Homework Statement Can someone explain how wLT /_ theta could be written as wL /_ theta X T /_ (theta - 90) (w, L and T are all constants)Homework Equations The Attempt at a Solution

Would it be preferred to write ##-60\angle 10°\quad or\quad 60\angle 190°?## Would one or the other be incorrect? Those two phasors are equivalent, right?

Homework Statement Where Vs = 120 ∠0° V Homework Equations All values are represented in ohms, so they are treated as resistors. The Attempt at a Solution Series inductor + resistor 30+j10 ohms = 31.62∠18.435° Parallel resistor and inductor+resistor (1/50)= 0.02∠0°...

Homework Statement http://imageshack.us/a/img834/8450/4y0t.jpg Given V(s)t = 100cos100t volts, find the average power supplied by the source and the current i2t in the network. Homework Equations V = IR V = IZ Z = V/I inductor impedance: ZL = ωLj capacitor impedance: Zc =...

If I am given an E field E = uniti Asin[w(t-z/c)+pi/4]. Is the phasor form = unit i Aexp(j pi/4) or unit i Aexp(-j(wz/c - pi/4) ?

Homework Statement Several of the voltages associated with a certain circuit are given by V12=9∠30° V, V32=3∠132° V, V14=2∠10° V. Determine V21, V13, V34, and V24. Homework Equations The Attempt at a Solution I am just using this problem as an example as I have no idea how to go...

Why do we use phasor representation in physics..For example,why we need maxwells equation in phasor form as well??

How do we know that the phase of I1 is faster than I0? And how do we know that I3 is faster than I2? How do we know that I2 is the slowest of them all??

Homework Statement Hi Circularly polarized light we can describe by a vector v=(1,\pm i), where the sign on the phase i describes which way the phasor turns (CCW or CW). I am confused about what sign belongs to which direction. Is there a neat way to determine this?

Homework Statement Hello everyone, I am having difficulty with something that should be very basic knowledge for most engineers here. I cannot see how this trigonometric relationship is being made from the phasor diagram I attached... I remember the SohCahToa rule, but it's just not...

Homework Statement a) Determine the phasor current and impedance of the circuit b) Determine the steady-state current i(t). Homework Equations impedance conversion: ZL = ωLj ZC = -1j/ωC ZR = RPolar form conversion: rectangular form = R + jX Zmag = (j2 + r2)1/2 Zangle = arctan(j/r)V = IR...

1. Write the following signals in phasor notation: v7(t)=100, v8(t)=-100( 2. Acos(wt + Θ) = Ae^(j Θ) 3. I want to say 0 because its just a constant, if not then 1 because Θ=0. It seems to easy. Is it 0?

Homework Statement A 90Ω resistor, a 32 mH inductor, and a 5μF capacitor are connected in series across the terminals of a sinusoidal voltage source Vs = 750cos(5000t + 30)V. Calculate the phasor current. Homework Equations phasor current i = V/Z V in polar form = (Magnitude)(cos a + j sin...

Homework Statement determine thevenin equivalent of circuit at terminals (a,b): Homework Equations Z(L)=jwL Z(C)=-j/wC V(th)=V(oc) R(th)=V(ex)/I(ex) The Attempt at a Solution actually 1st i need help with finding V(th). i do know that V(th) would be the voltage across the 2ohm resistor, so...

Homework Statement obtain a thevenin equivalent circuit given that iS(t)=3cos(4x10^4)t A. to that end: a) transform the circuit to the phasor domain. b) apply source-transformation technique to obtain the thevenin equivalent circuit at terminals (a,b). c) transform the phasor-domain thevenin...

Homework Statement I=75<120 deg. R= 4k find phasor voltage does the 4,000 multiply the 75 only so you get 300000<120 or does it multiply 4,000 both values including the angle ?

I am given the problem: 100Sin(ωt+30) +20cos(ωt) and the solution is 78.7<38.9degrees How do I convert to phasor form? I know for this calculation I need the following relationship: √2Esin(ωt-∅)=Ee^(-j∅) At first I tried making both sines and then splitting up 100Sin(ωt+30) and...

Homework Statement http://imageshack.us/a/img842/2954/homeworkprobsg41.jpg a. Find the phasors for the current and the voltages of the circuit b. Construct a phasor diagram showing Vs, I, VL, Vc, and VR Homework Equations phasor current i = V/Z ic(t) = Ipeakcos2πft...

simplfy 5cos(wot+90°)+5cos(wot-30°)+5cos(wot-120°) to form Acos(cos+Ø) i did it this way 5cos(wt) = 5e^j0 = 5+J0 5cos(wot-30°) = 5e^-j30° = 5*(√3/2)+J5/2 5cos(wot-120°) = 5e^-j120° = -5/2*(√3/2)+J5*(√3/2) i have only done partially the problem just missing to add them up however when i look up...

In single phase series circuits, should the current always be drawn along the x-axis and the voltage then drawn with respect to it? E.g. Should Vr be drawn in line with I, VL leading by 90 degrees (pointing upwards) and Vc lagging by 90 (Pointing down)? The reason I ask is because I've seen...

Could someone please give me an explanation of what we mean we say phasor please. We went over phasors in class today and I understood all the manipulations we were doing for superposition but my professor mentioned phasors and never said what they were. I have looked up several definitions but...

I was wondering if there is an easier way to solve circuits using matrix inversion if I have complex numbers. So far I've been doing them by hand with 2x2 matrices. It isn't hard, but it takes a while. I have a test coming up in about a week which will have 10 questions that have to be solved in...

When I apply the equations in phasor domain V1=jω(L1)(I1)±jωM(I2) and V2=jω(L2)(I2)±jωM(I1) and then mesh analysis should I consider the other mesh on the far right side with the capacitor? In other words, this is the first problem that I've seen or had such as this and since I2 is a...

Hello, I was wondering about the adition of phasors with different amplitude, frequency and phase. Wikipedia supplied the technique of adding phasors with the same frequency but different amplitude and phase (http://en.wikipedia.org/wiki/Phasor#Addition). When it comes to adding phasors...

Hi guys Can I calculate phasors in a ti cx cas as simple like in a ti 89. In a few days I will need to calculate them in a test, so I need to buy a ti nspire cx cas or ti 89. I think ti inspire cx cas can manage ecuaciones with complex like 89 does, but I can't find how to calculate phasor...

How to draw a phasor ? Homework Statement Two alternating currents are applied out of phase with each other. One is 4 volts and the other is 3 volts 27° out of phase. These can be written as (4, 0°) and (3, 27°) Homework Equations a)draw both phasors b)draw the combined phasor...

For a no load ideal transformer V1 is anti phase with E1? or in phase like this?

So I'm currently reviewing for my electromagnetism class, but I do not remember the techniques from going to phasor to instantaneous time. Maybe someone can explain to me what is going on. Homework Statement Find the instantaneous time sinusoidal functions corresponding to the following...

I am having difficulties with phasor diagram for Is and Vs of an parallel RLC circuit. I have calculated all values but not sure how to use phasors. Impedance Z has angle +65°. Current Isupply +30° and Vsupply is Z*Is= Vs at angle 95° But with parrallel network V is the reference so I guess it...

Homework Statement Find impedance and Io. draw phasor diagram for rlc circuit V = 120cos(2π525t) where R = 10Ω, C = 1μF, L = 100mH, Vo = 120V Homework Equations Z = √(R2 + (ωL-1/(ωC))^2) = √(10^2 + (2π * 525 Hz * 100 mH - 1/(2π * 525 Hz * 1 μF ))^2) = 28.525Ω Io = Vo/Z = 120 V /...

Phasor Mesh Current--what am I doing wrong?? Homework Statement Circuit diagram: Calculate the phasor mesh currents, I1 and I2. Homework Equations KVL/Mesh Current analysis with phasors/complex numbers. The Attempt at a Solution Mesh 1: (-550@0deg) + j75(I1) + 30(I1 - I2) -...

When phasors are used,for example to illustrate some of the properties of waves,all of the texts seem to emphasise that the phasor rotates anticlockwise.Why anticlockwise?I have always assumed that the direction is just a convention...or am I missing something?If it is a convention then does...

Homework Statement If I have three different waves each with difference amplitude and phase angle how would i find the combined phase angle shift? wave 1: A=5 phi=0 wave 2: A=5 phi=pi/4 wave 3: A=9 phi=pi/2 Homework Equations phi'=arctan(a2sin(phi)/(a1+a2cos(phi)), where phi in...

Consider the circuit show below, where V1 = V_{peak}sin(\omega t - 36^\circ) http://img195.imageshack.us/img195/9687/rlc.png I wish to find an expression for I in the time domain and in phasor form and then sketch the magnitude/phase vs frequency plots. I already managed to get a solution...

Homework Statement Photo attached The attempt at a solution[/b] I have converted the RMS voltages to peak voltages, with these results: Vs=205 V1=70.7 V0=155.6 And I am assuming we need to apply KVL somehow, but I am not sure how to proceed. I am assuming we want to find V0...

Can anyone with knowledge of three phase system please explain the concept behind phasor diagrams and how to draw one based off given phase angles for both current and voltage? Thanks in advance for your time.

1. Homework Statement and all the rest This is from a take home exam we already had graded. Professor does not mark our papers or review and we have no tutors. :( Can someone point where I went wrong? The blues are the few markings he made that I went over again and the orange...

Homework Statement I'm struggling to figure out what vectors I use for my phasor diagram for an RLC series circuit. Homework Equations VC = 1/j\omegaC VL = j\omegaL VR = IZ The Attempt at a Solution I know how to add vectors, so that's not a problem, transfer my circuit from the time...

Homework Statement At what frequency does a sinusoidal voltage reach 3/4 of its peak value 2.5ms after the zero crossing? a) 54 Hz b) 56 Hz c) 58 Hz d) 47 Hz Homework Equations - The Attempt at a Solution \frac{3}{4} x 90 = 67.5 2.5ms / 67.5 x 360 = 1/75 Period is 1/75...