What is Resonant: Definition and 203 Discussions

Resonance describes the phenomenon of increased amplitude that occurs when the frequency of a periodically applied force (or a Fourier component of it) is equal or close to a natural frequency of the system on which it acts. When an oscillating force is applied at a resonant frequency of a dynamic system, the system will oscillate at a higher amplitude than when the same force is applied at other, non-resonant frequencies.Frequencies at which the response amplitude is a relative maximum are also known as resonant frequencies or resonance frequencies of the system. Small periodic forces that are near a resonant frequency of the system have the ability to produce large amplitude oscillations in the system due to the storage of vibrational energy.
Resonance phenomena occur with all types of vibrations or waves: there is mechanical resonance, acoustic resonance, electromagnetic resonance, nuclear magnetic resonance (NMR), electron spin resonance (ESR) and resonance of quantum wave functions. Resonant systems can be used to generate vibrations of a specific frequency (e.g., musical instruments), or pick out specific frequencies from a complex vibration containing many frequencies (e.g., filters).
The term resonance (from Latin resonantia, 'echo', from resonare, 'resound') originated from the field of acoustics, particularly the sympathetic resonance observed in musical instruments, e.g., when one string starts to vibrate and produce sound after a different one is struck.

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  1. D

    Critical Damping in Multi-Modal Resonant System

    Let's say I have a system with multiple oscillatory modes. Is it possible to have anything in this system that resembles critical damping?
  2. H

    Oxygen energy levels and resonant wavelengths?

    How many energy levels the oxygen atom have? What energy (in eV) is required to get to each level. From my research i have only been able to find the first two levels, the first of which is a forbidden level. 1.=.98eV 2.=1.63eV
  3. A

    Find Q Factor of Resonant Amplifier Circuit

    How find Q factor of this resonant amp cct.because "R" is not theare, cant apply " Q=( ωL/r) or =(Dynamic R/ωL) "
  4. I

    Using a DC Choke in Resonant Circuits w/ Capacitors

    Can a DC choke (inductor) filter be used in a resonant circuit with a capacitor? If connected in series with a capacitor will the two resonate, or will the signal passed be half wave? I thought all inductors can be interchangeable but some have certain applications such as DC applications.
  5. N

    Engineering Resonant frequencies of simple RLC circuit

    I need to find the resonant frequency of the circuit shown in the diagram. http://img216.imageshack.us/img216/1750/gdmn.jpg The loop has a value of 1H, the capacitor has a value of 0.2F and the resistor has a value of 10 ohm. My initial approach has been to try and find the total...
  6. K

    Resonant Frequency of a spring

    Hi all, I have a problem at work, I have been asked to work out the resonant frequency of an assembly within our mechanical face seal. We have a mass (the face) attached to springs that are preloaded. The springs are fixed at the other end and the face is also pressed up against the seat...
  7. D

    Resonant Frequencies of Coaxial Cylinders

    Does anyone know of a formula for determining the various resonant frequencies of 2 coaxial cylinders with radius a and b and height h? Thanks.
  8. S

    Is there a func' for ideal x-section area in a resonant beam?

    Obviously it has to taper from the fixed end to the most mobile one. Or from the centre (node) of a symmetrical one to the ends (antinodes). Talking about longatudinal harmonic resonance only here. Ideally the static instants at full compression or tension would give a constant...
  9. T

    Resonant Absorption: Does Material Absorb Wave Energy?

    When a wave propagates in a materiel (wave has same frequency as natural frequency of the material) there is attenuation. Is the energy absorbed by the materiel?
  10. X

    Resonant Frequency of AC Circuit with Coil, Capacitor and Resistance

    I don't understand when you have an AC Circuit that has a coil, capacitor and resistance. What factor will the resonant frequency change when the frequency is tripled?
  11. P

    Self Resonant Frequency in a Solenoid

    Hey guys, As a hobby I've decided to pick up EE and I've been reading quite a bit and I'm interested in building some basic circuits and determining the SRF in some coils that I've wound. I have found that you can calculate SRF using this formula: ......(1/5) ...29.85 x (H/D) F =...
  12. Q

    Parallel LCR resonant frequency derivation for larger resistances

    [SOLVED] Parallel LCR resonant frequency derivation for larger resistances There have been similar questions here before which I have seen, but I couldn't find an answer with the detail I require. Homework Statement I would like to derive an expression for the resonant frequency of a...
  13. K

    Resonant Frequency of a tuning fork

    Homework Statement Name the two lowest resonant frequencies of a tuning fork; each tine is 18 cm long. Speed of wave is 420m/s... ignoring metal thickness. Homework Equations F= Velocity/Wavelength; l= wavelength/2, l= wavelength, l= 3/2wavelength, l= 2wavelength, l= 5/2wavelength...
  14. I

    How to do simulate a resonant frequency?

    Hello, I have a question on how to do something. I'm not sure whether calculus or trigonometry is needed. this is not a homework question. an object will move left and right of a center point in a sinusoidal motion. the period is always the same; the amplitude should change. at any...
  15. I

    Emulate something in software that has a resonant frequency

    Hello, I have a question about resonance. Say I want to emulate something in software that has a resonant frequency. It will be receiving pushes and pulls at various intervals, and I want the emulation to reflect how intensely it would vibrate at its resonant frequency as the result of those...
  16. M

    Resonant Frequency of a Cantilever

    Hi I'm currently setting up a simple cantilever beam experiment. The cantilever will be positioned vertical and a spray force will be exerted from the left hand side, causing the plate to deflect. This deflection will be measured and recorded. My question is how do I calculate the...
  17. W

    Cool resonant mode demonstration

    Here is a nice demonstration of resonance and vibrational modes.
  18. S

    Parallel circuit with resonant branch

    Here's a question my mate asked me to help out with, but I'm a bit stuck, any help would be good. Apologies for not being able to show the circuit (don't know how) so I'll explain it. A parallel circuit has a supply of 1 Vrms and has 2 branches. The first branch has a single capacitor of 2.2...
  19. N

    Resonant and Non Resonant Susceptibility

    The imaginary part of the \chi ^3 susceptibility can be split into the resonant and non resonant contributions. The resonant is the contribution from satisfying a resonant vibrational state/mode, but what contributes to the non resonant term?
  20. V

    Deriving Resonant Frequency of Multiple Mass Mass-Spring Systems

    How does one begin to derive the resonant frequencies of a multiple mass mass-spring system? (3-mass system) OK, so deriving this isn't a homework problem. I'd just like to know how. It's been a couple of years since I've taken a physics course. I was asked what the resonant frequencies of each...
  21. N

    Resonant frequency and circumference of spheres

    Does the electromagnetic or acoustic resonant frequency of a hallow spherical object ever equal the circumference of that object? If not what are the formulas to calculate this? Thanks in advance.
  22. T

    Resonant RLC Circuit Homework - Purcell 8.4

    Homework Statement Purcell 8.4: In the resonant circuit of the figure(I'll reproduce the image below) the dissipative element is a resistor R' connected in parallel, rather than in series, with the LC combination. Work out the equation analogous to Eq 2. (d^2V/dt^2 + (R/L)(dV/dt) + (1/LC)V = 0...
  23. P

    Resonant frequincy of capped cylinders

    I'm looking for a formula to calculate the resonant frequency of a capped cylinder. I have found a link to a formula but was surprised to see that cylinder radius is not taken into account when making the calculation. It was my understanding that the larger the radius of a cylinder the lower...
  24. S

    Resonant Plasma/New ICF method

    Alright, I've been looking around for an opinion on this for awhile: Suppose you have a tube of deuterium whose radius is much much less then the length. You use a high voltage/large current to ionize this Deuterium. In a similar configuration to the Z-Pinch device a magnetic field is...
  25. S

    Find the Second Resonant length of an air column

    Homework Statement Find the second resonant length of an air column that resonates with a sound of frequency 1.0 kHz at 15.0 degrees Celsius under each of the following conditions. a) the air column is closed at both ends b) the air column is open at both ends Homework Equations...
  26. A

    Velocity of air, period, flutes and resonant frequencies

    Hi, We were talking about the speed of air expelled from the mouth as it passes over the embouchure hole of a flute, and I'm having trouble understanding part of the concept. At one point, in the notes, I have if the velocity of the airstream is greater than the period of the flute cavity's...
  27. P

    Resonant frequency question

    When calculating the resonant frequency of a circuit, does it matter whether or not the components in that circuit are in series or in parallel? Say...for a simple circuit with three components in series with a voltage source (a resistor, an inductor and a capacitor for example). The resonant...
  28. S

    Resonance and understanding what a resonant is?

    Homework Statement http://i215.photobucket.com/albums/cc10/Spookie71/image0-11.jpg
  29. Saladsamurai

    Find lowest resonant frequence on this string

    A string that is stretched between fixed supports separated by 75 cm has resonant frequencies of 420 and 315 Hz, with no resonant intermediate frequencies. What are (a) the lowest resonant frequency and (b) the wave speed? Okay: So I know that since there are no intermediate resonant...
  30. C

    Series resonant circuit help

    Hi I am new to the forum. I have been studying and recently doing experiments with (LC) series resonant circuits at home. I have been referencing numerous electrical engineering books for information on series resonance, but unfortunately I have been unable to find any books that break the...
  31. V

    Parallel RLC circuit: find resonant frequency and Input at that frequency

    Homework Statement In the circuit below, find the resonant frequency (\omega_0) and Z_{IN}\left(\omega_0\right). http://img143.imageshack.us/img143/9845/problem1444dx4.jpg Homework Equations \omega_0\,=\,\frac{1}{\sqrt{LC}} The Attempt at a Solution The resonant frequency is easy to find...
  32. R

    Resonant frequency of millimetric objects

    Hello everyone! First post here! I have quite a specific question. I am investigating resonant frequency of biological matter with dimensions of about 1mm cubed. What I would like to know is... 1) does anyone know of any good journals which look into resonant frequencies of small...
  33. J

    Resonant frequency calculation for lengths of thick wall steel pipe

    Homework Statement resonant freq. in air for arbitrary length steel pipe with radius in the 3-8 cm range and wall thickness in the o.5 to 1 cm range Homework Equations unable to find a relevant equation The Attempt at a Solution
  34. M

    Calculating Resonant Frequency of a Soda Bottle

    Homework Statement (a)What resonant frequency would you expect from blowing across the top of an empty soda bottle that is 15cm deep? (b) How would that change if it was one-third of soda Homework Equations /\=v/f The Attempt at a Solution 15cm=1.5m /\=2L=2(1.5m)=3.0m (a)...
  35. S

    Resonant Lengths in open and closed colums

    Is there a pattern for resosnant length for closed and open air coloums. Does this apply to instruments.
  36. S

    How Long is an Organ Pipe That Resonates at 128Hz?

    Homework Statement an organ pipe, open at both ends, esonantes ats its 1st resonant lenth with a frequency of 128hz. what is thelength of the pipe if the speed of sound is 346m/s Homework Equations the open colum patterns The Attempt at a Solution i just can't get it
  37. S

    Calculating Resonant Lengths of Air Columns

    Homework Statement The 3rd resonant length of a closed air colum is 75cm. determine the 1st and second length. Homework Equations the rensonant patterns The Attempt at a Solution i just don't get this resonant things.
  38. S

    Calculating 2nd and 3rd Resonant Lengths

    Homework Statement The 1st rensonat length of a closed air column occurs when the length is 30.0cm. what will the send ond and third be? Homework Equations I did the pattern thign like 3/4 but i got the wrong answer. The Attempt at a Solution i multplied the legth 3/4 but i got the...
  39. J

    Resonant length and wavelength of sound?

    hi we did a lab with a resonant tube filled with water we're supposed to figure out the relationship between the resonant length and the wavelength. what we did was we filled up the resonant tube with water then put a tuning fork above it and found where that same sound was made. Here is an...
  40. J

    Resonant frequency of loop antenna

    Hello All, I'm wondering if there is some nifty formula out there that will tell me how much wire I will need to wind a loop antenna if I know what the diameter of the loop will be and the frequency that I want to tune into? Thanks, Jason O
  41. D

    Engineering Explain LC Resonance in a Circuit

    Hey guys, I'm doing a lab report on an LC resonant circuit, and it's I've kinda hit a speedbump in trying to explain why exactly the resonance is happening. I don't know if "LC resonant circuit" is a normal thing to call it so i'll explain a bit. You have V_in which goes into a resistor, then...
  42. K

    Why Does XL = XC in Capacitor & Inductive Circuit?

    Hi,:approve: I want to know why if XL = XC in circuit which has only capacitor and inductive. The current will be mixmum not infinity because we know the rule which I=V\Z which z is impedance. so the z will be zore so the current must be infinity.:confused:
  43. O

    Calculating resonant frequency in series RC oscillator

    What is the formula to calculate the oscillating (resonant?) frequency of a series RC circuit with a constant DC voltage? For example the RC circuit shown at this site: http://www.mikroelektronika.co.yu/english/product/books/PICbook/2_02chapter.htm" How does this circuit resonate...
  44. K

    Understanding Resonance & Tuning Forks

    Hi. I'm having some trouble understanding resonance. I was reading about how ears work on howstuffworks.com, and it noted that the ear picks up different frequencies basically because little hairs inside the ear resonate at different freqencies. It said that this is also the concept behind...
  45. B

    What are the basic functions of an inductor?

    What is resonant circuit? and specifically what is RLC circuit? THANX ALOT!:smile:
  46. M

    Deteriming resonant frequencies

    I am stumped on how exactly to do this. I have the function: T(s) = 7/s(s^2+6s+58) I need to change this to T(iω) and i being a complex root. This creates: T(iω) = 7/(ωi*(ω^2+6iω+58)) I know I need to plot this function and find out where omega peaks and this will be my resonant...
  47. J

    Changing Resonant Frequency of Gas?

    Recently I was handed a flyer for a new gadget that is being sold. It consists of two modules that are attached with sticky tape to the underside of ones gas tank. 'There are no batteries and no wires' yet the gizmo 'changes the resonant frequency for the gasoline in your tank, improving...
  48. T

    Q-factor in resonant RCL circuit

    Dear Forum, I am not sure how I can calculate the Q-factor in the circuit attached. (The circuitresonates at 13.56MHz and tuned to 50 ohm input impedance, thus the two capacitors) Is the Q-factor of the circuit simply Q = \frac{\omega L}{R_{a}+R_{coil}} ? I went through some examples...
  49. S

    Calculating Action from a Resonant LC Circuit

    Consider a resonant LC circuit. It consists of a capacitor of capacitance 100pf and an inductance of 0.1mH. suppose that when the circuit oscillates the max. voltage on the capacitor is 1mV. Energy stored in the capacitor is given as 0.5CV^2. a) Show that in this circuit one can obtain a...
  50. N

    Q is the quality factor of series resonant circuits

    Hi all I read that Q,the quality factor of series resonant circuits is wL/R ------------>1/R sqrt(L/C).This i understand 1.but for parallel resonant it is R/wL...hmm but why is that?this i don quite get. 2.Then what do u mean by loaded resonant circuit and unloaded resonant circuit...
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