What is Phase: Definition and 1000 Discussions

In the physical sciences, a phase is a region of space (a thermodynamic system), throughout which all physical properties of a material are essentially uniform. Examples of physical properties include density, index of refraction, magnetization and chemical composition. A simple description is that a phase is a region of material that is chemically uniform, physically distinct, and (often) mechanically separable. In a system consisting of ice and water in a glass jar, the ice cubes are one phase, the water is a second phase, and the humid air is a third phase over the ice and water. The glass of the jar is another separate phase. (See state of matter § Glass)
The term phase is sometimes used as a synonym for state of matter, but there can be several immiscible phases of the same state of matter. Also, the term phase is sometimes used to refer to a set of equilibrium states demarcated in terms of state variables such as pressure and temperature by a phase boundary on a phase diagram. Because phase boundaries relate to changes in the organization of matter, such as a change from liquid to solid or a more subtle change from one crystal structure to another, this latter usage is similar to the use of "phase" as a synonym for state of matter. However, the state of matter and phase diagram usages are not commensurate with the formal definition given above and the intended meaning must be determined in part from the context in which the term is used.

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  1. H

    RC circuit question: In vs. Out phase angle

    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?
  2. A

    Are Phase Transitions Caused by Instabilities or Spontaneous Symmetry Breaking?

    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...
  3. Z

    Calculate phase shift using transfer function

    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))...
  4. jegues

    Nyquist plot, damping factor and phase margin

    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...
  5. K

    Gas Phase Ion Chemistry vs. Plasma Chemistry

    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?
  6. jegues

    Why does a pole with increasing phase start at -180°?

    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...
  7. F

    Transformers & Phase Difference

    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...
  8. S

    MHB Two-Phase Method for Solving LPPs Without Art. Vars.

    The following LPP was asked to solve by two phase method Max z=5x+3y subject to 3x+5y<=15 5x+2y<=10 x,y>=0 I have applied Two phase method only in the presence of artificial variables. But in the given problem we need no artificial variable. How to proceed to solve it by two phase method?
  9. E

    Measure Phase Angle: No Oscilloscope Needed

    How can I measure the phase angle between two signals of the same frequency without an oscilloscope? Thanks in advance
  10. L

    Physical pendulum in phase space

    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...
  11. J

    What Is Phase Differential in Electrical Protection Systems?

    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...
  12. P

    Oxygen Phase Diagram: Pressure & Liquefy 0-50 atm

    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
  13. E

    3 Phase Rotor / Stator Swapping ?

    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...
  14. M

    Troubleshooting Phase Locked Loop Circuit with 3 ICs

    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...
  15. A

    How Does Phase Space Differ from Real Space in Dynamics?

    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
  16. M

    Vapour Pressure: Exploring How Molecules Escape Into Gas Phase

    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...
  17. A

    What exactly is meant by a phase in Quantum Mechanics?

    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...
  18. V

    How to Measure the Mapped Phase in Ramsey Interferometry

    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...
  19. R

    Phase shift arising from reflections of metal

    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...
  20. H

    Phase space and phase angles in a Quantum picture.

    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...
  21. A

    Why cosine wave for phase deviation in phase modulation?

    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...
  22. J

    Phase Locked Loops: Coherent vs Non-Coherent Detection, PLL & 2*pi Rotation

    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
  23. bhanesh

    QPSK Phase Shift: Symbol Change Explained

    What is phase shift of qpsk when symbol change occurs ? Can anybody explain please ?
  24. M

    Gibb's phase rule and counting phases

    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...
  25. S

    How Does Deposition Affect State Change and Heat Release?

    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...
  26. K

    Wave sources vibrating out of phase (destructive/constructive)

    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...
  27. T

    Phase cancellation with opposing and unequal audio frequencies.

    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...
  28. B

    What is a phase wand and how does it work in medical linear accelerator systems?

    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...
  29. S

    How Does Phase Accumulation Affect a Wave's Return Journey?

    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...
  30. S

    Archived What is the phase accumulation of reflected wave?

    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...
  31. S

    Find w For AC RLC Circuit When Emf is In Phase With Current

    Homework Statement I have an AC RLC circuit with the inductor in series with parallel capacitor and resistor. At what w is the emf in phase with the current? Homework Equations The Attempt at a Solution I'm suppose to know this from a previous class but as a transfer student...
  32. N

    Water-waves: Group vs phase velocity

    Homework Statement Say you have a small boat moving through water, and creating a short wave-group which is a superposition of waves in the range of 0.2m-2m. If the shore 50meters away, how long will it take the fastest of the wave-components to reach shore? {assume the depth is constantly very...
  33. G

    Diffraction grating with slits out of phase

    Homework Statement Describe how the Fraunhofer diffraction pattern of a grating depends on: (a) the spacing between the grating lines; (b) the overall extent of the grating; (c) the amplitude distribution over an individual line; (d) the phase distribution over an individual line. A...
  34. T

    Archived How Do You Calculate the Phase Speed of Rossby Waves?

    I'm working on an assignment due next Thursday and I'm having a little bit of difficulty on two problems that seemed surprisingly easy on the surface. My difficulty lies primarily in making sure I understand what the problems are asking. Here are the problems and I'll detail my idea without...
  35. W

    RC Op Amp phase shifter transfer function/how to get

    Hello, I am trying to figure out the transfer function for an RC phase shifter: http://imgur.com/2dnRYn7 (Picture of circuit) I am not sure how to calculate the output and specifically the phase of the output of this circuit. I understand that I need to consider one of the 'golden rules'...
  36. B

    Optics: What is phase matching, and mode locking

    Homework Statement The other day in lecture my professor mentioned the words mode locking and phase matching (same as velocity matching apparently) while on the topics of lasers. However, i can't find anything that can provide a simple explanation of what they are. Is there anyone who would...
  37. S

    Building theoretical model for phase seperation

    I have three elements, A, B, C, that under certain conditions (rapid heating and cooling) form one ABC phase solid. Sometimes when I add a fourth element, D, I get two phase (AB,CD) solid. Obviously this phenomena is thermodynamically favourable. My guess (still undergraduate) is that there...
  38. M

    Is there an algorithmic way of drawing phase portraits by hand?

    I have trouble understanding how to draw phase portraits. Is there a good pedagogical overview of their basics (such as elliptical vs hyperbolic orbits, separatrices etc.), along with an algorithmic way of how to draw them when it is not easy/possible to find v(x)? Basically something explaining...
  39. C

    Phase detector for PLL with low SNR

    I'm making a system with PLL. Here's more or less a principal scheme. What happens here is that the signal in this compensating system becomes really low and phase detector might not work properly. What I want to ask, what type or how to make a phase detector which can detect phase correctly...
  40. Q

    Understanding Phase Diagrams: Boiling, Melting & Critical Points

    Homework Statement https://scontent-b-dfw.xx.fbcdn.net/hphotos-prn1/v/1012733_10201076259690370_236735593_n.jpg?oh=4896ca67a34d3b223b764aba8ed308ab&oe=528A1B57 Homework Equations http://upload.wikimedia.org/wikipedia/commons/3/34/Phase-diag2.svg The Attempt at a Solution Not sure entirely...
  41. S

    Temperature of phase transition

    Homework Statement There is a solid that can be in two phases, with energies U1(S,V) = S2/a1 + b1V(V-2Vo) and U2(S,V) = S2/a2 + b2V(V-2Vo). Consider a phase transition between the two phases at zero pressure. At what temperature, T0, does it occur? Homework Equations T = ∂G/∂S...
  42. B

    Possible title: Are These Statements Always True for LCR Circuits?

    In an LCR circuit (circuit with inductor, capacitor and resistor), are the following statements always true? The capacitor voltage always lags the resistor voltage by a phase difference of 90°. The inductor voltage always leads the resistor voltage by a phase difference of 90°. The current...
  43. J

    MHB Group Velocity and Phase Velocity

    I have no idea how to do this or where to start. Can someone please help me? Problem 4.4- Suppose n o and n e are given. In (a) you only need to find the magnitude of the group velocity. Problem #2 in HW 10 may be helpful. You can also directly use the definition of group velocity, i.e., v g =...
  44. H

    Phase Velocity of a Water Wave?

    Hi, I've been reading a lot today about waves and how they have both a phase velocity and a group velocity. The group velocity makes perfect sense to me, I would phrase it as the speed at which the wave is propagating. The phase velocity on the other hand is quite confusing to me. What exactly...
  45. S

    How Do You Calculate Induced EMF in a Single Phase Transformer?

    Homework Statement A step down transformer, 2400/240 V, 50Hz has the following resistance and leakage parameters. Z1 = R1 + jX1 = 4 + j12 Ω Z2 = R2 + jX2 = 0.04 + j0.12 Ω The transformer is operating at 80% of its rated load. The power factor of the load is 0.866 leading. Determine the...
  46. L

    Troubleshooting Strange Noise from 250kw 3 Phase Motor

    Hi guys I have been testing a brand new 250kw 3 motor wired in delta. I have it connected to a 170 amp vfd with no load for testing. It draws 105 amps at 50hz and is balanced. Intermittently the motor makes a strange that i have not heard before. It sounds like a spoon taping another...
  47. D

    How Do You Calculate Group and Phase Velocities for a 550nm Wavelength?

    Hello Homework Statement I have this tab http://img18.imageshack.us/img18/3317/eyph.png Anf I have to find the group and phase velocities for a wavelength λ=550nm Homework Equations v(phase)= c/n v(group)=dw/dk v(phase)*v(group)=c²/n² The Attempt at a Solution I don't know...
  48. 2

    Understanding Faraday's Law: Investigating Phase Shift in an AC Circuit

    I did an experiment with two solenoids, one inside the other. The inner solenoid was hooked up to an AC power source and ammeter. The outer coil had a voltmeter. This is a faraday's law experiment. Because the current is changing, we can find a formula for the emf. Here are my math steps: So...
  49. B

    Conduction Angle in SCR Single Phase Rectifiers

    Hi all, When considering a half wave SCR rectifier (single phase) with an RL load, the term θ (conductive angle) appears in equations relating to the performance of the circuit. In terms what is physically happening in the circuit, what does θ actually represent?
  50. L

    Geometric phase of a parallel transport over the surface of a sphere

    I have this question on the calculation of the geometric phase (Berry phase) of a parallel transporting vector over the surface of a sphere, illustrated by Prof. Berry for example in the attached file starting on page 2. The vector performing parallel transport is defined as ψ=(e+ie')/√2...
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