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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Relation between initial current and current amplitude in $RLC$ circuits

Let $\phi$ be the so called phase-angle, which measures how much the voltage $V(t)$ leads the current $i(t)$ in a $RLC$ circuit. How would you justify the relation $$i(t=0)=i_m\cos\phi$$ where $i_m$ ...
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Can an object keep changing its Resonant Frequency?

I was studying Acoustic Resonance and Resonant Frequencies and learned a lot ... but I have a question which probably the web doesn't seem to answer! Can an object(any object)keep changing its ...
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What is a linear system?

I was reading about Resonant Frequency, and found a lot of information about it: like its uses in daily lives, for eg: swing, pendulum. etc I also read about its advantages and disadvantages but the ...
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Why do incandescent lights ring before burning out?

Sometimes when an incandescent light bulb is just about to burn out, the tungsten filament begins ringing. What causes this? For people who unfamilar with this effect, what happens is that every once ...
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School investigation: How does the size of a resonance box affect the sustain of a guitar string?

TL;DR for a lab report, how does the volume of a resonance chamber underneath the guitar string affect its sustain i.e. time it stays above a volume threshold x. Is there an equation to model this ...
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Pendulum Tuned Mass Damper - Mathematical Relationship between Mass and Damping Ratio

I am doing an experiment where I built a test tower with a pendulum to act as a tuned mass damper, similar to this picture below: I want my independent variable to be the mass of the pendulum (which ...
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The resonance frequency of a steel ball

I wanted to find the resonance frequency of a steel ball. I assume that gradient disappears on the surface of a ball. I knew that I can find it solving 3D wave equation in spherical coordinates. Due ...
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What would sand on a Chladni plate look like with a complex wave?

I'm doing a demonstration for students using a Chladni plate. My setup is similar to this one, https://www.youtube.com/watch?v=1yaqUI4b974 consisting of a single frequency-generator attached to an ...
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Acoustic resonance in pipe

This is quite a quick question. Would you call the acoustic resonance generated in pipes with a speaker to be caused by the pipe itself, or the speaker?
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Forced oscillation resonance frequencies [closed]

Given this forced oscillator: $$ \ddot{x}+\gamma\dot{x}+\omega_0^2x=\frac{F(t)}{m} $$ Where $F(t)$ is: $$ F(t)=\sum_{n=1}^{\infty}\frac{4F_0}{n\pi}\sin\left(\frac{2n\pi t}{T}\right) \hspace{0.4cm} \...
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Is resonance total width conserved in different frames?

Since we have to perform a relativistic transformation to transform the resonance peak energy from the lab frame to the resonances rest frame, I would find it surprising that we could use the total ...
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Resonance in an open pipe with an angled non-squared end

An open pipe (organ pipe) has a narrow, high Q resonance. Is there any research out there for the effect on Q at different angles of end cut? If not I am going to get a carpet tube, a speaker and a ...
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Is the amplitude of the RF pulse affects the NMR signal?

What i knew is that the NMR signal depends on the static magnetic field strength $ B_0 $ (by Boltzmann equation) and its gyromagnetic factor. While the NMR occurs when the RF pulse frequency match the ...
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How do earthquakes of different strengths affect buildings of different heights?

Why is it that short buildings respond more to high frequency oscillations while tall buildings respond more to low frequency oscillations? I would assume that how they react is related to the natural ...
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Why does EM destructive interference reflect on an resonnant cavity chamber but not on a piece of paper?

Case 1) Light passing through a single or double slit with show an interference pattern on a screen with dark fringes. The observer eye wont receive light comming from the dark fringes (and therefore ...
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Applying a Unitary Transformation to a Rashba Spin-Orbit Coupled System for EDSR

I have been trying to follow the derivation in [Ref. 1] so as to better understand the theory of Electric Dipole Spin Resonance (EDSR) in materials which experience Spin-Orbit Coupling (SOC). However, ...
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What is the position as a function of time, after transient, in damped driven harmonic ocillator?

The problem is covered in many books but nowhere I found the answer to this question: wondering what is $x=x(t)$ it looks to me not so trivial because it emerge a sign problem I can't find anywhere. ...
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What is the diff in operational range underwater between a dipole trimmed to resonate @2.45GHz versus a dipole tuned to resonate using a pi network?

(Sorry about the use of "diff", but I needed the characters.) In air, a half-wave dipole can be physically trimmed to resonance and will radiate well. It can also be tuned using a pi network ...
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Intuitive understanding of the resonance of a bridge

Dynamics of strides, walking and corresponding force cycles: In the civil engineering literature, it is known that the resonant frequency of a bridge should not be the same as that of the strides of ...
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How is a quartz watch tunning fork cut so precise as to be exactly a power of 2?

Maybe out of scope for physics, maybe a gemology or electrical engineering community question. Sorry not sure where to go with it. Have to start somewhere. A quartz watch tunning fork viabrates at 32,...
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Why is max power below natural frequency

I can't understand why intuitively the max power is at the natural frequency. We were told in our notes that the power absorbed is exactly equal to the rate at which energy is dissipated. Yet, if we ...
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Understanding resonance in a tube

I've seen a lot of great videos demonstrating how resonance in a tube depends on some "alignment" between the wave frequency and the tube length. Example: https://www.youtube.com/watch?v=...
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Do resonant inductive coupling coils need to be on axis to transmit wireless power?

I've recently become interested in Nikola Tesla's resonant inductive coupling method of wireless power transfer. I saw an experiment online and the resonant coils seemed to be on axis, or facing each ...
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End correction in Resonance Tube Experiment

We were discussing a problem on the Resonance Tube Experiment in class when my teacher wrote down the following equations: AN and N stand for the positions of the antinode and node, e stands for the ...
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Where, in the standard model, do resonance widths come from?

For example, the Z boson decays and hence the propagator is: $$ \frac{1}{p^2-m^2-i \Gamma} $$ Where does this arise in QFT, is it that the lagrangian mass is complex or is it that when we compute the ...
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S Parameters in HFSS

I'm new to HFSS Software and I'm trying to plot Scattering parameters in HFSS for a dielectric resonator excited by a probe (shown in image). I know that the top cylinder has a higher dielectric than ...
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When does resonance occurs given an ODE, and why?

For example given the equation $y''+by=sin^{2}(2t)$. I am asked to calculate value of $b$ needed for resonance. Is this like saying when the frequency of the general solution is the same as the ...
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What is a resonance element?

I'm looking at a horn antenna and why its a good addition to a waveguide. I've read that the horn can operate at a wide range of frequencies since it has no resonant element. But I can't find a good ...
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In AFM, is “phase imaging” a type of “phase-modulation based AFM”?

I am reading up on the techniques used in atomic force microscopy (AFM). On the website, nanosurf.com https://www.nanosurf.com/en/support/afm-modes-overview/dynamic-modes#dynamic , phase modulation is ...
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S-wave reonances of $V(r)=-c^2(r+1/r)^2, c \in \Re$

I need to know the s-wave resonances of the central potential $V(r)=-c^2(r+1/r)^2, c\in \Re$. Here we have a well attached to a barrier so we expect quantized quasibound/ metastable/ resonant states (...
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How to model guitar string behavior at a certain frequency

I am trying to model the behaviour of a string, when it's forced by a certain frequency. I know that when the frequency is near the resonant frequency or it's higher harmonics, a standing wave will be ...
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Vibration of a string at a frquency other than the resonance frequency

We know that if we attach an oscillator/vibrator to a string with either the natural frequency or one of its harmonics, it exhibits resonance and a pure standing wave is produced. But here, i am ...
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Double Spring Damper Mass System Transfer function

I am attempting to find the resonance frequency of a double mass spring system as shown in the image. I need to find the resonance frequency so that I can input it into my sin wave generator in MATLAB ...
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Why does a repulsive force increase the resonance frequency of a resonator?

I have an atomic force microscope with a tuning fork-based sensor. This tuning fork has a probe tip on it that feels a force from the sample that it scans over. Since the tuning fork and probe tip are ...
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Does a tuning fork's resonance frequency increase with a repulsive force on it in AFM?

I have a tuning fork sensor with a probe tip that would be used in atomic force microscopy. Am I correct that the quartz tuning fork's resonance frequency increases with a repulsive force on it and ...
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What does it mean that the Cauchy probability distribution is connected to the solution of the differential equations of forced resonance?

I have read this (or something like this) in Wikipedia, and found some modelling of inhomogeneities in magnetic fields in clinical magnetic resonance imaging (MRI) through the Cauchy distribution, ...
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How to calculate the damping ratio of a structure with a pendulum tuned mass damper?

I'm a highschool student investigating the damping of an oscillating structure by a pendulum mass damper. The structure has an accelerometer at the top to measure the acceleration. Although I know it ...
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During sympathetic resonance in a piano, are new frequencies generated?

Sympathetic resonance in a piano is the phenomenon of one string being excited, transmitting its sound to other strings that will then start vibrating if they have common frequencies. For example C2 ...
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Sidebands in spin-oscillator coupled devices

I am researching spin-oscillator hybrid devices (particularly those coupled to NV centers), and I have come across this paper investigating the strain field of a cantilever and its effect on the NV ...
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Why do string instruments need hollow bodies?

My textbook states, 'The sound box has a large area, it sets a large volume of air into vibration, the frequency of which is same as that of the string. So due to resonance a loud sound is produced.' ...
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Understanding the $Z$ production cross section in $e^{+}e^{-}\rightarrow Z\rightarrow \mu^{+}\mu^{-}$

In "Modern Particle Physics", Mark Thomson derives the total cross section for $\sigma\left(e^{+}e^{-}\rightarrow Z^{0}\rightarrow\mu^{+}\mu^{-}\right)$, cf. subchapter 16.1.1 on page 431 ff....
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Resonance of a damped harmonic oscillator under forced oscillations

Suppose we have a damped harmonic oscillator and we also apply an external force such that our system oscillates in steady state. If the frequency of my force matches the natural frequency of my ...
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Measuring the natural frequency of a spring-mass system with the graph

On a graph of a system under a external force y = distance and x = time where the external force start at t = 0, it's easy to find the driving frequency. $$F = \frac{\omega}{2\pi}, \omega = \frac{2\pi}...
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Can diffraction phenomenon (e.g. from grating) be viewed as a resonance phenomenon?

In resonance, we deal with oscillation in time. And we require the driven frequency $\omega$ equal to the natural frequency $\omega_0$. Then every cycle the driven force is in-phase with the velocity ...
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How can I track the resonance of a tuning fork through a PLL if my phase lag graph is discontinuous?

I am programming a phase-locked loop to track the resonance of a tuning fork so that the tuning fork is always on resonance. This will be used in condensed matter physics through atomic force ...
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How to show that at resonance a damped mass-spring system gains no energy?

I am having trouble understanding the topic of resonance in vibrations. For a simple spring-mass-damper system, I need to calculate the energy from the drive function and compare it with the energy ...
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What are typical resonant frequency ranges of large crystals?

I want to measure the resonant frequency of a crystal about 1 inch long using a transducer and a contact mic. What frequency ranges should I select to be able to measure a variety of different ...
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Forced Oscillation Explained with Violin String

In this lecture on Forced Oscillations, Normal Modes, Resonances, Musical Instruments, the professor says that by moving a bow over a violin string, you expose it to a lot of frequencies. Is there a ...
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Intuitively, what actually is the cause of resonance?

Please don't explain it mathematically. I have been searching for the reason for a long time. I have watched Walter Lewin's video giving an example of resonance, but I didn't get the reason behind the ...
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Why does resonance occur at only standing wave frequencies in a fixed string?

I could not understand why only certain discrete frequencies are allowed in a fixed-ended string. How does the string behave if we excite it with frequencies other than resonant frequencies?

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