Questions tagged [resonance]

Resonance is a characteristic of physical systems having a structure that allows energy to flow between various states at a specific, oscillatory rate (resonant frequency). For a stable resonant system at steady state the internal energy is either fixed without losses or the rate of energy input is equal to the energy losses.

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Going through resonance without damping by controlling the coupling between the oscillator and the generator

To introduce resonance, we usually find in elementary Physics lectures the following system" The solution of which is: $$\begin{cases}x(t)= \frac{A}{ \omega^2-\omega^2_{0}}sin(\omega~t) ~~~~\...
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AC Stark shift in a 3 level system

If we have a 2 level system and I send a laser on resonance, when working in the dressed atom description, each level gets split by $\pm\Omega$ i.e. the Rabi frequency of the laser. Now if we send a ...
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Measured frequency of the sound produced when blowing in a bottle is half of calculated

Preparing one lecture about resonance in cylindrical tubes with one closed end, I decided to make some experiments to compare calculated frequencies and measured ones. We can find anwhere (click here, ...
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Motorcycle handle Bar vibration & Bar End Weights

Pic 1 is a normal motorcycle bar end weights. My question, if I replace the bar end weights with a long threaded rod (M8x150) and the thread rod is inserted inside the handle bar(pic 2), will it ...
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Optical power between mirrors in resonant Fabry-Perot interferometer

I'm reading through the book Introduction To Laser Technology and just got to the section on Fabry-Perot interferometers. The book talks about the seemingly paradoxical behaviour of the optical power ...
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Vortex generated as a result of Newton's third law

This books states this process as a result of Newton's third law. However I just can't find ways to graps how the "vortex" is generated, is it a fundamental law? (The question emerges on the ...
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Acoustic resonance inside an enclosed sphere

I apologize if this question is too basic. Assume an acoustic source suspended at the center of a hollow spherical shell. (The reason why the central acoustic source is suspended inside the sphere can ...
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Link between resonant states (quasinormal modes) in 1D wave equation, and roots in reflection coefficient?

For a simple Fabry-Perot cavity formed by a dielectric slab, the quasi-normal mode frequencies (i.e. $\omega=i \frac{c}{2nL}\ln{r^2}$, where $nL$ is the optical path difference between ends of the ...
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Does resonance still occur at half, a quarter, etc. of the resonant frequency?

Examples of resonance that I have seen are pushing a swing and shattering a glass. I know the swing analogy, that if you push at the right frequency, you can make the swing go higher and higher. My ...
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Deriving an lumped element LC circuit as the limit of a resonant cavity mode

In principle, an LC circuit is just a degenerate limit of an electromagnetic cavity, where the frequency $\omega_0$ of the resonant mode is much lower than the inverse size of the cavity. As a result, ...
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What is the function of air cavity in drums?

I'm trying to understand the function of the air cavity inside drums. I've read that 'The air cavity inside the drum will have a set of resonance frequencies determined by its shape and size. This ...
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Are quasi-normal modes in black hole perturbation theory the same as resonances in Quantum Mechanics?

When we evaluate quasi-normal modes in black hole perturbation theory (also here), by solving the Regge-wheeler potential, is it same as solving the Schrödinger equation for a barrier and finding ...
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How to model a circuit with resonant inductive coupling?

I need to model (write the equations for) a circuit with resonant inductive coupling, such as the one in the picture below. The picture is taken from the Wikipedia article on Resonant inductive ...
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Fourier Component And Resonance

Wikipedia defined Resonance as the following : Resonance describes the phenomenon of increased amplitude that occurs when the frequency of an applied periodic force (or a Fourier component of it) is ...
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Why do we use a different value of Quality Factor for different resonance and non-resonance circuits?

In my school , I was taught that Quality Factor(Q.F) = reciprocal of Power Factor(P.F) = impeadance / resistance . But, while solving problems of resonance circuits I found that Q.F = reactance / ...
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Could a Haptic Actuator change the natural frequency of an object?

Could a Haptic Actuator which can operate in the 10 - 500hz frequency range be used to modify a wooden objects natural frequency?
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How can you change the resonant frequency of a solid guitar body?

I am trying to figure out if it would be possible to change the resonant natural frequency of a solid-body guitar. For example, let's say it resonates at 100 Hz and I want it to resonate at 200 Hz. Is ...
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Intuition behind the differential equation for forced oscillations

The differential equation for forced oscillation is: $$m \ddot{x} + b\dot{x}+kx = F_{o}\sin(\omega''t)$$ I don't find this equation intuitively satisfying. My mind tends to think that as $F_{o}\sin(\...
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Natural frequency of electrons and the Hydrogen atom

Natural frequency is the frequency of a system when it vibrates freely without damping. I am in need of clarification about the definition of natural frequency at the atomic and molecular levels. Let'...
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Entropy and resonance

I'm interested in determining whether the entropy of a vibrating string fixed at two ends can be expressed as a function of frequency. Particularly, the entropy at resonant frequencies. I'm not sure ...
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Does air column change its frequency to one of its modes as and when needed?

The question might make it sound like I'm considering air column to be a conscious entity kinda thing, but what I really mean is, Say I've a tuning fork ringing and I bring it near a test tube with ...
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Why the prongs of a tuning fork have different oscillation phases?

I've been reading many questions about why tuning fork has two prongs. Many of them explain that each prong oscillates with opposite phases. As a consequence, the compression and decompression of air ...
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Calculate the Frequency of Clamped Bar

I'm trying to calculate the resonant frequency of a clamped bar or rather I'm trying to calculate what length of bar to use to get a certain frequency. The goal is to be able to use this to make ...
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Astigmatism in bow tie cavity

I am a bit confused about how to account for the astigmatism in a bow tie cavity. I did the math for the resonant frequency of the tangential and sagittal direction of a Gaussian beam, and I got in my ...
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At resonance, there is infinite oscillation (new)

As per a previous question: Transient behavour For a driven harmonic oscillator: I was trying to show an exponential increase in amplitude using the transient solution, however I still got the sake ...
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Destroy an asteroid by EM waves by making its crystalline meshes enter in resonance?

Could we destroy an asteroid made of crystalline materials heading towards the Earth by bombarding it with electromagnetic rays, making its crystalline meshes enter in vibration resonance and ...
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Does amplitude really go to infinity in resonance?

I was recapping the forced oscillations, and something troubled me. The equation concerning forced oscillation is: $$ x=\frac{F_0}{m(\omega_0^2-\omega^2)}\cos(\omega t) $$ I don't understand why this ...
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Lateral Driven Oscillation of a bridge

I am working through a question on driven oscillations and was looking for a couple of pointers if possible. The question is regarding driven oscillations on a bridge, and we have established the ...
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On RF cavities in circular accelerators

Radiofequency pillbox-like cavities are used to accelerate particles, as shown here. They act grossly speaking like a LC circuit, so they are designed to work with a specific frequency. This already ...
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Sound of string in a guitar

I study about waves and I learn that the velocity of a transverse wave in a string depends only on the tension and the density of the string. The frequency depends only on the source (whatever ...
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Quality factor of LCR circuit

If we are given a parallel or series LCR circuit, we know the quality factor of these circuits ( which we can see in many books). But if we are given a LCR circuit with the three components connected ...
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Hypothetical NMR experiment

Say I set the RF of NMR to resonate to a specific frequency of a specific isotope of nitrogen, based on the magnetic field strength of the NMR machine, Now, imagine if I had put in egg whites(or any ...
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Calculating the Feshbach resonances between carbon atoms

From my understanding, Feshbach resonance is a scattering resonance that occurs when the energy of an atom pair coincides with the energy of a molecular bound state. Feshbach resonances are ...
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Transduction coefficient of an electromechanical system

I have been recently doing a physics experiment which requires me to determine the transduction coefficient of a speaker system, undergoing electromechanical resonance, in an AC circuit. The quantity ...
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Definition of Quality Factor $Q$

The stored energy definition of the quality factor $Q$from wiki Q-factor from wiki is given by $$ Q = 2\pi \frac{\text{energy stored}}{\text{energy dissipated per cycle}}= 2\pi f_0 \frac{\text{...
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Energy dissipated during cycle of damping force

Considering a drive damped oscillator after transients have died out and is being drive close to resonance such that $\omega=\omega_0$, I want to find the energy dissipated during one cycle, $\Delta ...
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What does it mean if a resonant particle has a zero decay width in 3-body decay?

I'm working on a problem that assumes a zero decay width for the resonance in a three-body decay with resonance, $A \rightarrow B + C (\rightarrow 1 + 2)$, and $\Gamma_{C\rightarrow 1+2} = 0$. I ...
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What exactly happens, step by step, in string harmonics?

I know that a string when plucked shows harmonics but I do not really understand how. Like, I understand resonating air column and how standing waves are formed there, but I can't seem to get the step ...
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Why does plucking a string produce harmonics instead of a pulse?

If I jerk a wire from the free end fixed at an end and then fix the free end, it will produce a pulse travelling back and forth between the two ends. So in a string fixed at both ends, if we pluck it ...
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Can't understand Resonance in an Air Column

In this image about resonating air column in my book, they say that resonance occurs at those specific lengths marked in the diagram. However, its also said that natural frequency of air column ...
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Does the lithosphere have a resonant frequency?

In meteorological sciences, there is an important concept known as the Schumann resonance, which are the integer values of electromagnetic resonance between the surface and ionosphere. The values ...
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Oscillations in a Time-Varying Magnetic Field

Suppose we have a cantilever (with a magnetic moment/charge attached to one of its ends) oscillating in a magnetic field which is spatially varying in the $x$ direction and is also time dependent, ...
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Waves and oscillation [duplicate]

Maxima and and minima of sound wave at given time represents air density (maxima represents compression) similarly. How does these curved lines over the water surface represent variation of air ...
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Why is amplitude going to infinity in forced damped oscillator at resonance?

I'm trying to find the amplitude of steady state response of the following differential equation: $$\ddot{x}+2p\dot x + {\omega_0}^2x=\cos(\omega t)$$ A particular solution is $$x_p=\Re{\dfrac{e^{i\...
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What is the reason that the vibrating body gradually acquires the frequency of the external periodic force in forced vibration?

When an external periodic force is applied on a vibrating body the body no longer vibrates with its own natural frequency but it gradually acquires the frequency of the applied periodic force. I don'...
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Building an electric resonance machine with no battery for all frequencies at once

Suppose we have some fixed frequency and a electromagnetic wave of that frequency. I want to gather its energy over time to use it as resonance. In Feynman's lectures, he explains how to do this if we ...
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Steven Weinberg says $L$ is the fundamental EM wavelength in a cubical cavity $L^3;$ not the typically asserted $2L.$

This is from Steven Weinberg's Lectures on Quantum Mechanics, 2nd Ed., page 2: For instance, for a cubical box of width $L,$ whatever boundary condition is satisfied on one face of the box must be ...
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Can electron paramagnetic resonance occur in the low megahertz range?

My understanding was that EPR can occur in certain energy bands (and thus at certain magnetic field strengths). Is it the case that it is limited to those energy levels and if so, is there any in the ...
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Why do we hear louder sound when the source is in a resonator?

I did a simple experiment as illustrated below Basically, I used an app to let my phone produce a 393Hz sine wave sound. This is roughly the resonant frequency of a metal can. When the phone is ...
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Frequency dependence of far field condition

I am analyzing accelerometer data collected at a drill rig, at the top of the drill string. The drill bit acts an acoustic source; the acoustic waves travel through the drill pipe from the bit to the ...
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