What is Resonance: Definition and 656 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. A

    Help with understanding resonance

    Hi there, I am trying to understand resonance, but i haven't wholly grasped the concept. As far as my knowledge goes, if one evokes a wave upon an object, at the same fundamental frequency as the object, then a standing wave occurs and the object "resonates" the obvious case is the singer...
  2. S

    Resonance frequency of cantilever beam

    Homework Statement Sorry for wasting your time and bandwidth, but I can't figure this out. I just have a cantilever beam with the following specifications: length : 40 in. width: 2 in. height: 2 in. E = 30e6 psi. mbar = .8991 lbm/in. And I'm trying to find the beam's resonance...
  3. A

    A pipe, a string, and resonance

    Homework Statement You have a stopped pipe of adjustable length close to a taut 85.0-cm, 7.25-g wire under a tension of 4150*N. You want to adjust the length of the pipe so that, when it produces sound at its fundamental frequency, this sound causes the wire to vibrate in its second overtone...
  4. G

    What metals can create a low frequency resonance for Harley exhaust pipes?

    Hi, I wonder if anyone can help me with a personal research project. Besides being an educator I am also a motorcycle aficionado. I enjoy the deep rumble of a Harley Davidson motor. I own three Sportsters. My goal is to give my "small" Harley's the deep rumble of their bigger siblings. To this...
  5. B

    Current Resonance: Explaining I1 Existence After Switch Closure

    [PLAIN]http://pokit.etf.ba/get/6e89526dc84a619992d2d771c7cc7fb6.jpg After switch is closed, Xl=Xc. Current resonance kicks in. Thats from the set of the problem. Now there is no current I no more right? But I1 still exists. How come? How come you don't have current in that one branch and...
  6. N

    Resonance in an LCR network

    I'm having some problems understanding resonance in an LCR network where the capaitor is in parallel to the inductor and resistor, which are in series. How would you go about deriving the equation for the transient response (to a square wave) and the steady state response to a sinusoidal wave...
  7. K

    Standing waves and resonance in a glass tube

    Homework Statement A glass tube is closed at one end. The air column it contains has a length that can be varied between 0.50m and 1.50 m. If a tuning fork of frequency 306 Hz is sounded at the top of the tube, at which lengths of the air column would resonance occur? (Take the speed of sound...
  8. S

    Resonance of Water: Is Frequency the Same Everywhere?

    Is resonant frequency of water same all over the world in different places?
  9. T

    Exploring Shape Resonance in Air: Oxygen and Nitrogen

    Greetings. I've been reading papers on plasma kinetics and have come across the term "shape resonance" a few times when describing peaks in electron impact cross section (function of energy). I have seen calculations attempting to explain these for atoms like helium but I'm not sure how close...
  10. T

    Solving LCR Circuit: Find C, I_rms, I_rms at Resonance

    Homework Statement Consider a series LCR circuit with R= 69.0 Ω and L= 0.100 H, driven by a sinusoidal emf with Erms= 6.70 V at frequency f= 250 Hz. The sinusoidal current leads the emf by 54.0 degrees. a) Calculate the capacitance C. b) What is the rms current in the circuit? c) If...
  11. N

    Resonance of a Parallel LCR network

    Why does the resonance peak of a parallel LCR network (capacitor in parallel with in-series inductor and resisitor) get smaller in amplitude with increasing resistance? I have impedance/DC resistance plotted against frequency. I'm really not sure about how to go about showing this...
  12. N

    Resonance of a Parallel LCR network

    Why does the resonance peak of a parallel LCR network (capacitor in parallel with in-series inductor and resisitor) get smaller in amplitude with increasing resistance? I have impedance/DC resistance plotted against frequency. I'm really not sure about how to go about showing this...
  13. S

    Electrical Resonance: Q-Factor, Active Resistance & Graphs

    Homework Statement The scheme is here: http://img196.imageshack.us/img196/9366/lcre.jpg G generates soundwaves, Re are all 10 ohm resistors , R is an 98000 active resistor, L=100mH, C=0.253 μF The assignment was to measure the voltage through different parts of the circuit near resonance...
  14. J

    Electron Paramagnetic Resonance Experiment

    I've a few questions about an EPR experiment I did recently. It involved setting up a Helmholtz pair, placing a sample in a uniform field inside the pair, and observing results on an oscilloscope. You can calculate the field at the centre of a Helmholtz pair using the formula for one...
  15. V

    Forced Vibrating Membranes and Resonance - Separation of Variables

    Homework Statement In the midst of Forced Vibrating Membranes and Resonance Utt = c^2*delsquared(U) + Q(heat source) Arrive at eigenfunction series solution where the coefficients are given by d^2/dt^2 (A_n) + c^2*lambda_n*A_n = q_n Homework Equations according to the book, I am supposed to...
  16. Q

    Want to study spintronics or Magnetic resonance imaging, but

    ... I recently graduated with a BA in physics with less than three months experience in physics research with a not so fantastic GPA. I don't want to go back to school and further my education because I don't want to continue to borrow money for loans to pay for college tuition . What kinds of...
  17. D

    Calculate Resonance Wavelength?

    Calculate Resonance Wavelength?? Homework Statement Ive been asked to calculate the resonance wavelength of gas in a resonance tube. What I have to calculate this with is the frequency f and the average difference of length between each 1⁄2 wavelength measurement. It says calculate it using...
  18. A

    Generating a Resonance Curve for a System: A Puzzling Problem

    Homework Statement if i know the natural frequency of a system, how can I generate a resonance curve for the system in terms of frequency vs amplitude. The Attempt at a Solution I know it will have one peak, like a bell curve and the max will be the natural frequency, but i don't...
  19. D

    Resonance Concept in Particle Physics: What, Why, How

    What is the true concept of resonance in particle physics? can particle production happen via resonance? how?
  20. E

    What are resonance structures and how can I understand them better?

    My teacher is explaining resonance structures in class, but I don't understand it that well. Can someone please help? (:
  21. H

    Diode in a series LC circuit and voltage at resonance?

    A series LC circuit at resonance has a higher total voltage than the applied voltage due to voltage magnification. If a diode were inserted between L and C it would prevent the back and forth oscillation of energy, But would it prevent voltage magnification if the circuit were driven at...
  22. T

    Calculating Resonance Frequency and Amplitude in RLC Circuits

    Homework Statement I did an experiment using an RLC circuit (in series) and an oscilloscope to determine the resonance frequency and amplitude (in volts) of my components (R total = 2300ohm, L = 0.081H, C = 1.5E-8F). I plotted all the data I collected (V vs. f) and got a nice response curve...
  23. J

    Resonance in a Standing Wave

    This is more a clarification concerning harmonics, I think. :) The problem is thus: If a hole in a pipe changes the resonant frequency of the pipe by a factor of 2, what is the new frequency. My confusion: I think this is a simple harmonics question, but I am confused by the term...
  24. S

    Reduction in resonance magnitude for a motor/drive-axle model

    Hi all, I am conducting some tests on a simulated physical model of a motor/drive axle system. The goal of the experimentation is to come up with some suggestions to reduce the peak magnitude at the resonant frequency by 30%. Based on the analysis done, a few proposed changes are 1)...
  25. A

    Why when a chemical species is stablized by resonance, its energy

    Why when a chemical species is stablized by resonance, its energy level is lower? As I know, resonance is only a kind of electrons delocalization within the species. There is no interaction between that species and the environment.
  26. C

    Resonance - Tuning fork volume

    [SOLVED] Resonance - Tuning fork volume Homework Statement A narrow plastic pipe is almost completely submerged in a graduated cylinder full of water, and a tuning fork is held over its open end. The pipe is slowly raised from the water/ An increase in loudness of the sound is heard when the...
  27. M

    Welcome to the Forum! Learn About Cavity Resonance Here.

    hello I am a new member in this forum , and I want to learn well with you...sorry I speak little English,so I use google traductor , i speak french , but with french unfortunately there is a little information! now what is a cavity resonant ? and how to write equations for field within...i...
  28. L

    Resonance homework problem

    Hi, Say if the complementary solution to a linear system is A(coswt, coswt-wsinwt)+B(sinwt, wcoswt+sinwt) and the forcing term is (coswt, coswt-Csinwt), where C is constant How do I tell whether for what values of C is resonance going to occur? Thanks!
  29. E

    Hadron Resonance Gas: Exploring QCD Data & Thermodynamic Model

    Recently I saw a talk stating that the hadron resonance gas model, which is basically all the known hadrons put together as ideal gases, describes lattice QCD "data" really well. Like in this paper: http://arxiv.org/abs/hep-ph/0303108 In this paper Fig. 1 is what I am looking at. I tried that...
  30. H

    Find Tension for Desired Harmonic Resonance

    Homework Statement You have designed a new musical instrument of very simple construction. Your design consists of a metal tube with length L and diameter L/10. You have stretched a string of mass per unit length u across the open end of the tube. The other end of the tube is closed. To...
  31. R

    RLC Series/Parallel Impedance Near Resonance

    Hey, The impedance of the series and parallel RLC circuit both tend to R near the resonant frequency (one is a min/ one is a max) so if I expand the frequency around this point I should be able to show they are the same for \delta \omega small right? For some reason I can't get it to work. Any...
  32. D

    Capacitive network and resonance

    I am designing a loop antenna with a switchable resonance point from 500Hz to 99500Hz in increments of 1000. I am trying to switch resonance by changing the value of the capacitor by making a network of caps in parallel that are turned on with a mosfet. My problem is that the resonant frequency...
  33. B

    Resonance/ Natural Resonance Frequencies?

    I am doing a small physics research project introducing sound, resonance, and natural resonance frequencies, but I have questions. I know that resonance is the tendency of a system to oscillate with larger amplitudes at some frequencies rather than others. Does this just mean that the...
  34. M

    Mechanical Oscillation and Resonance

    Homework Statement A mechanical oscillator system is driven sinusoidally with a force amplitude, F(max). The Oscillator resonates at 27Hz. When driven with the same F(max) at 26Hz or 28Hz, the resulting oscillation has half the amplitude as at resonance. When F(max) is instead applied...
  35. T

    Effect of frequency of a.c. circuit, resonance and temperature in resistor

    In an L-R-C circuit, if the reactance of the capacitor equals that of the inductor, X_L = X_C, and consequently the current is at it's max and we have resonance, will the temperature in a resistor with a positive temperature coefficient increase faster in this situation, and thus get increasing...
  36. P

    Fundamental Frequency (String Resonance) - stumped

    Fundamental Frequency (String Resonance) - velocity problem! Homework Statement Hey guys, i just started working on Fundamental Frequency but am getting confused! A string that is 6.0m long is vibrating with three loops in it. The frequency of the source is 16.5Hz. A)What is the...
  37. Z

    Resonance Energy of N2O - Calculate the Difference

    Homework Statement Heat of formation of N2O is 82kJ/mol. What is the resonance energy of N2O? Homework Equations The Attempt at a Solution I calculated the heat of formation on N2O by using bond energies. It came out as 170 kJ/mol. Is resonance energy 82-170 or 170-82?
  38. A

    Resonance - working out damping constant and damping factor

    Homework Statement I'm doing a lab report on resonance and I'm trying to find the damping constant and damping factor. I measured as many amplitudes(A) for successive oscillations as possible and graphed amplitude number (n) vs. ln(A) The hint read: Part 1:Using equation 5, Plot a graph...
  39. F

    Resonance Frequency Of A proton

    Good Afternoon, I need help on the folloewing question: The Earth's magnetic field is relatively homogenous over large areas. therefore how do we calculate the resonance frequency of a proton? Could someone please direct me to formulas, variables and possible outcomes/solutions to...
  40. L

    Solving Resonance: Ideas to Get Started

    I don't want the answer to this problem just an idea of how to get started. I don't understand what I am looking for. Thanks. Homework Statement A 143-cm-long pipe is stopped at one end. Near the open end, there is a loudspeaker that is driven by an audio oscillator whose frequency can be...
  41. S

    Resonance of DNA O-H and N-H bonds?

    Hi, I'm trying to figure out if it is possible to induce (hydrogen) bond breakage between DNA base pairs by resonance. Does anyone know if this is possible or even aware of bond breakage in other molecules by similar methods? Thanks!
  42. Terocamo

    RLC Resonance: Understanding VL and VC Magnitudes

    Homework Statement The question ask if VL=VC if the circuit is under resonace The Attempt at a Solution I originally thought when resonance happens in RCL circuit, Vr=Vsupplied, therefore, by loops rule Vr+Vc+VL=Vsupplied, during reasonance Vr and Vsupplied canceled each other, so what's...
  43. L

    Resonance in RLC series circuit

    -Is the RCL circuit in resonant? Explain -Given that C is equal to 2X10-3F, find inductance, L. problems: -Is fo equal to 1...because the maximum value in the graph at t=1? -from the graph,how to know that the graph is resonant or not?...can i say that because the current and the voltage...
  44. J

    Laplace transforms and resonance

    Homework Statement http://img231.imageshack.us/img231/3904/q2a.png The Attempt at a Solution Below is a screenshot of my Maple worksheet. I am currently stuck on part (a). I have taken the Laplace transform of both sides of the equation, solved for Z(s), then converted it Heaviside form, yet...
  45. Q

    Is there a mathematical process for calculating an objects resonance?

    ^^^ Any way to get to it by using size / weight / etc.?
  46. A

    Synchronization vs. Resonance: What's the Difference?

    How is resonance different from synchronization? I know a bit about synch but not much about resonance. The examples I've found on the web all lie along the following line: --If the frequency of two systems are the same --and the two systems are coupled --then oscillating one system...
  47. F

    LOW resonance PIEZO Electric drivers ?(do i have to make one?)

    I have been up to make an impedance tube to measure acoustic Z and calculate absorption coefficient of materials . and having a sound generator(speaker driver) in it usually gives you near 60 hz response so your data will be charted starting 60hz and above. My goal is to measure from 20hz...
  48. G

    Helmholtz resonance airbox design?

    I have an airbox on a motorbike and want to find its frequency. I have two formulas: f = w / 2pi = 160 sqrt( 116.5 A / VL ) and f = ((343m/s) / 2PI) * SQRT( A / VL) A = Area of intake neck = 5.67cm^2 or 5.67x10^-4m^2 V = Volume of airbox = 2500cc or 2.5x10^-3m^3 L =...
  49. K

    Applications of Resonance in Real Life, Example?

    I wonder how and where does resonance is applied in our real life. Any example?
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