Homework Statement
An LRC series circuit with R = 200Ω , L = 31mH , and C = 1.8μF is powered by an ac voltage source of peak voltage V0 = 540V and frequency f = 550Hz. What are the peak voltages across the inductor, capacitor, and resistor and their phase angles relative to the source...
Hello,
I've come across equations where people use the approximation
\int_0^1 \exp(f(x))\, dx \approx \exp \left( \int_0^1 f(x)\, dx\right)
I can see that this is correct if f(x) is small, one just uses exp(x) = 1+x+...
However, it appears that this approximation has a broader validity...
Homework Statement
A wave travels along a straight line with speed 1m/s . The initial phase angle is 0. Wavelength = 4m. Measured from initiation of waves, when will the phase of the point 5m from the wave source first be 180°?
The Attempt at a Solution
Phase difference = (2π/λ) path...
Homework Statement
In the circuit below, what should the value of L be at ω = 10^4 rad/s so that i(t) is in-phase with v(t)?Homework Equations
The Attempt at a Solution
I am a little uncertain exactly what is meant by i(t) being in phase with v(t). Do I assume that both are cosine functions...
Homework Statement
Is common point(O) equal to netural terminal?
eg: Vo=Vn??
V(L1-o)=V(L1-n)??
The Attempt at a Solution
The first one is what I measured in a lab.
The second one my prediction if the phase reversed,base on the first one
is it reasonable?
Homework Statement
If two waves are created at x = 0 and t = 0 (and are in phase to begin with), and are then sent traveling along a string in the positive x direction, and they get reflected at the end of the string, there will be a similar pair of waves traveling in the negative...
What is the secondary current in a single-phase distribution transformer that is attached to a 480v line when the transformer is supplying 120v to a 16kW reactive load with a power factor angle of 40°.
So I have kVA = 16kW/cos 40 = 20.89kVA
Is = 1000 * 20.89kVA / 120v = 174A.
I don't...
$$f(x)=32sin(x+60°)\quad and\quad g(x)=-1.5sin(x+45°)$$
Would the phase angle difference here be 15° or is that incorrect? I think the amplitudes don't have to be the same but I'm not sure if they at least have to be both positive.
How would I determine gain and phase margins for the following transfer function:
G(s) = (0.38(s^2 + 0.1s +0.55)) / (s(s+1)(s^2 + 0.6s + 0.5))
We are learning about Bode plots but I am really struggling. I know that Bode plots display the relationship between magnitude vs. frequency and...
Hi guys, I'm currently writing a document about decoherence and I'm trying to make a point about phase factors and how they are altered by an interaction with a surrounding environment. However, i don't want to only state this, i want to show it through basic QM. Is it possible to say the...
A 3-phase induction motor in our factory had unequal phase currents. One of the currents was nearly normal while the other two were about twice the usual value. Somebody said that prolonged running causes increase in resistance of stator winding, and this results in increased current. But this...
Hi everyone,
I'm not an electrical engeneering nor do I have a significant background in the field. Right now I'm trying to monitor current consumption from three phase systems. My question is: is it possible to obtain the current consumption of the whole system as a function of the current...
I am currently taking an undergrads course in atomic physics, and I have just grazed the concepts of matter wave functions, group waves, group velocity, and phase velocity. For the latter, it has been stated that phase velocity can exceed the speed of light. I don't fathom this. Could anyone...
When writing the question for the phase response of a circuit, how do I know when it begins. Like for example theta(jw) = 90 degrees - arctan( ) or theta(jw) = 0 degrees - arctan( ) ?
Homework Statement
I've attached the question where the graph can be found.
Essentially I have no problem determining A=0.04M K= 10π rad/m λ=0.2M ω=π/5 rad/s
I'm having trouble choosing what ø should be.
Homework Equations
y(x,t)= 0.04sin(10πx - π/5t +ø)
The Attempt at a...
Greetings everyone.
I do not have an extensive background in Power. I've recently been brushing up on topics from undergrad related to power distribution and residential wiring in general. I understand that in general, houses in the US are fed a three wire, split-phase 240V power from the...
help understanding magnitude and phase of sinc functions??
Homework Statement
Homework Equations
pτ(t) ⇔ τsinc(\frac{τω}{2\pi})
Δτ(t) ⇔ \frac{τ}{2}sinc2(\frac{τω}{4\pi})
sinc(x) = \frac{sin(\pi x)}{\pi x}
The Attempt at a Solution
My instructor had posted solutions to the problems:
I...
Can someone explain a little of the physics behind 'phases' I can't get a grasp on what is actually happening. Current - I can understand that electrons are moving. Voltage - okay, no problem different charge here than over there. But then you throw in phases...and stuff is cancelling...
Ok so i have the equation y'=y^2(y-3)(y-5)^3
I found the equilibrium positions to be y=0, y=3, y=5.
For my phase diagram all the arrows are pointing up so the solutions are nodes?
The last part asks Describe the long term behavior of the solution to the above differential equation with...
In an RC circuit, the phase angle between the input and output voltages (not current and voltage) seems to be proportional to the amplitude of the output voltage. That is, as the phase angle between input and output goes to plus or minus 90 degrees, the output voltage goes to 0. Why is that?
So a phase transition occurs when a system may minimize its free energy by spontanously breaking some symmetry. At least that is what I have learned from my current course so far.
However I also did another course concerning phase transitions. In this case phase transitions were always...
Homework Statement
Given that you have found the following transfer function for a circuit, H(jω), what is the phase at very low frequencies?
(jωRC-ω2LC)/((1-ω2LC) + jωRC)
a:∏
b:-∏/2
c:+∏/2
d:0
The Attempt at a Solution
I understand that the phase angle is ψ=arc tan(img(ω)/real(ω))...
Homework Statement
A Nyquist (polar) plot of a standard second-order system is shown below (drawn to scale).
Suppose a unit-step function is applied as the input to this system. Determine the peak percentage overshoot expected in the system output.
Homework Equations
The Attempt at a...
What is the difference between "Gas Phase Ion Chemistry" and "Plasma Chemistry"? If one wants to learn about the ionization and dissociation processes of hydrogen gas are either of theses fields appropriate to study?
Homework Statement
Understanding the bode plot for,
G(s) = \frac{1}{2s-1}
Homework Equations
The Attempt at a Solution
Usually when I am drawing bode plots for either real poles or zeros, I simply solve for the break frequency knowing that a zero/pole will give me a +/-20dB/decade asymptote...
Hi, I'm trying to figure out what phase differences take place with an ideal transformer. This is what I have figured out so far:
If you apply an AC current to the primary coil then you will get an alternating flux in the primary and secondary coils simultaneously therefore the fluxes are in...
Hi,
I found out this paper
http://www.pha.jhu.edu/~javalab/pendula/pendula.files/users/olegt/pendulum.pdf
with this animation
http://www.pha.jhu.edu/~javalab/pendula/pendula.files/users/olegt/pendula.html
At first there is written there, that the area of possible states in some range...
Hello experts!
Help needed.
I got a relay manual for translation and one of the items there is "Phase Differential".
The context is as follows:
"These settings program the differential element when the differential feature is in use. This
feature consists of three instantaneous overcurrent...
i need to know what pressure oxygen will liquefy at under various pressures but i can't find a phase diagram anywhere
any link phase diagram that shows pressures 0-50 atm would be useful
3 Phase Rotor / Stator Swapping ?
I have been toying around with the following idea : (specific application project)
Normally a stator is the external housing of a motor and is fixed to a structure - the rotor is the shaft through the middle of this stator etc. and is rotating at ...x... RPM...
Hello,
I am in need of big help here. I don't know what else should be done to get this correct.
I have to build this PLL circuit and choose any 3 N (integer) of the N-divider. Then I have to observe the input signal Sig_in and the output signal VCO_out for each N. The result should be that the...
What exactly is phase space and how is it different from real space i.e. 3 co-ordinate system?
what does it mean when someone says "dynamics occurs in phase space"?
I'm very new to all this so pls take that into account to
I read in my Chemistry workbook that:
"At higher temperatures, vapour pressure increases as more energy is provided to the liquid molecules, allowing them to escape into the gas phase."
At the boiling point, all energy is gone into breaking bonds and to convert liquid phase molecules into...
I understand this is probably a very stupid question to some of the people on here, but none the less i would still like to know. It hasn't been explained very well to me.
I have a vague understanding that it is a number that you collect for each possible path? Please correct/elaborate on this...
I had a question regarding some text in a paper that I was reading. It had to do with ramsey interferometry, where they initialized a particle in spin up (lets say up along the z axis on the bloch sphere), after which they applied a pi/2 pulse to rotate it 90 degrees around the x-axis, they wait...
Dear All,
I have a question about the optical properties of light in a metal.
I need to solve a problem.
Homework Statement
a] Why is the phase shift in a metal neither 0 or pi?
b] And calculate the phase shift of gold with a wavelength of 514 nm?
n_real=0,5 and n_imaginary=1,85...
Hi guys,
I was hoping someone may be able to clear something up for me. I have been reading a paper on Quantum decoherence and was curious about what particular point (it could easily just be me misunderstanding)
It is commonly noted that the superposition of waves represents all of the...
Phase modulation is a system in which the amplitude of the modulated carrier is kept constant, while its phase and rate of phase change are varied by the modulating signal.
By the definition of phase modulation, the amount by which the carrier phase is varied from its unmodulated value, called...
what is difference between coherent and non-coherent detection? and what is a PLL? secondly what is meant by 2*pi phase rotation? is it same as 2*pi phase shift? thanks in advance
Hello,
I was wondering, suppose I had a mixture of a few liquids that were immiscible, say 4.
Now, when calculating the degrees of freedom, I am confused about the number of phases.
I think the number of components is 4, but the number of phases should be 1, liquid, right? Or does each...
Homework Statement
How would the state change graph of some matter undergoing deposition look like?
2. The attempt at a solution
I would assume that since it is undergoing deposition, it would just be a slope from the gaseous state to the liquid state. However I am not sure of this...
Homework Statement
If the phase of vibrating sources was changed so that they were vibrating completely out of phase, what effect would this have on an interference pattern?
Homework Equations
n/a
The Attempt at a Solution
This question undermines my understanding of...
Greetings to ALL.
tonequester here. I am re-doing my first, and LONG post. Concerning an electric guitar. Strings resonate at say, 800Hz. Wooden neck and body have their own resonant frequency, so I am told. No two guitars resonate at the same frequency, as no two, complex, combinations of...
Hi all, I have recently come across term "phase wand between the magnetron and the accelerator, to provide reflected power from the accelerator to the magnetron to adjust the magnetron frequency to match the resonance frequency of the accelerator. this basicallly used in Medical Linear...
Homework Statement
I hope this question is better suited to this forum...
(See picture)
We have 3 areas in which a wave can move.
The wave Y1 starts at area 1 and goes towards Border 1, some part of it is passed to Area 2.
That part goes towards Border 2, and some part of it is reflected...
Homework Statement
(See picture)
We have 3 areas in which a wave can move.
The wave Y1 starts at area 1 and goes towards Border 1, some part of it is passed to Area 2.
That part goes towards Border 2, and some part of it is reflected back into Area 2.
That part moves towards Border 1...