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.
Hi, I am a new member. May you help me with this problem?
In Azbel-Kaner cyclotron resonance, a B field is placed parallel to the sample surface to make cyclotron motion, an oscillation electric field is place to induce resonance.
There is a link about this...
Hi
Just wondering, what is the relationship between formal charge and resonance?
formal charge is used to determine which lewis structure is most plausible.
Resonance is hybri between two "correct" lewis structure having different electrons distribution but the element position must...
Homework Statement
1) The equation of the particle on one dimension given by;
d^2y/dt^2 + 2 dy/dt + 6y = 10sinωt
a) Find the displacement as a function of time.
b) find T= ? A=? (period,amplitude)
2) Show that the amplitude of the vibration damping halved on time 1,39/γ.
3)On one LC...
I am going to build a drum out of a propane tank. I think it will be handy to find the resonant frequency of the tank and choose the tuning accordingly so not to pick frequencies that are extremely damped.
I have a cavity resonance formula found on hyper physics
I am not going to build a...
Hi guys,
my first post here :)
lately I've been trying to understand how orbiting bodies (i.e. galileian moon of Jupiter) have arranged themselves in resonance
the 1:1 resonance is pretty straightforward to understand. but more complex relations like the one I cited above, how do they...
Homework Statement
I did an experiment as followed
Given following circuit
I measured voltage across capacitor and reciprocal frequency of the generator. espilon, L, C, R, and R_E were given.
In one configuration, R was shorted.
I have to calculate relative frequencies (gamma)...
I am studying the analogy between mechanical oscillations and AC circuits.
For a mass on a spring, resonance occurs when there is a phase difference of 90 degrees. It seems like for a series RLC circuit, resonance must occur at a phase different of 0 degrees between the voltage from the...
Homework Statement
The question relates to carbonic anhydrase with Zinc at the biosite. (1ca2 on protein data bank).
Q: Why can you not study the water bound to the zinc when the molecule is in an aqueous solution?
Homework Equations
n/a
The Attempt at a Solution
I've had a...
Homework Statement
Find an equation for the resonance frequency. Then find R L and C given that the resonance freq is 10 Hz.
Homework Equations
Wrote below
The Attempt at a Solution
y(jw) = (1 / R + jwl) + jwC is the basic equation.. after simplifying and setting imaginary part to...
Somebody slept through their lecture on resonance.
I don't know how to link video.
http://www.youtube.com/watch?v=WEQrt_w7gN4&feature=related
https://www.youtube.com/watch?v=http://www.youtube.com/watch?v=WEQrt_w7gN4&feature=related
Hi all,
I am tring to design an RLC circuit with a low (<3Khz) resonance out of RLC circuit elements. The circuit must be underdamped. The lower the damping the better.
Originally I planned (and built) a RLC circuit with R=.1, C=100uF, L=100uH. On paper this gives a resonance at 1590...
Homework Statement
Determine the resonance energy of gaseous benzene from the following data
ΔH^{o}_{diss}(H,g)=435.9kJmol^{-1}, ΔH^{o}_{sub} C_{graphite}=718.4kJmol^{-1}
ΔH^{o}_{f} Benzene(g)=82.9kJmol^{-1}
ε_{C-H}=416.3kJmol^{-1},ε_{C-C}=331.4kJmol^{-1},ε_{C=C}=591.3kJmol^{-1}...
Does anyone know what the equations governing the effects of whistling in a convoluted tube as air passes trough it are? I didn't know it was called this until today, but a convoluted tube is the real name for what many cable management tubes are. These tubes are also used in medicine for things...
In a mass-spring system that is driven by an external force, its displacement-time graph consists of several components.
One of them is Asin(bt), where b is the driving frequency and A=\frac{a}{w^{2}-b^{2}}
where w is the natural frequency.as b approaches w, A approaches infinity. however, i...
I apologize for the simplicity of this question. I am not a physics student but am an aspiring author and am developing a fictional story outline that will include applications of resonance (specifically the ability to move, levitate, or destroy objects using resonance). I am trying to stay as...
I have two inductors and a capacitor in series, in the order of inductor, capacitor, inductor. I'm not sure if the equation L1+L2+k*√(L1*L2) will work in this case or not, given the inductors are separated (or offset) electrically from each other by a capacitor. So I guess my question is, can...
Accoustic Resonance of an open tube -- help please
So I am trying to make sense of the different varying formulas that I have found. Some of the formulas are not fully explained hence my questions. This is a music related topic.
I am attempting to figure out what the formula is to determine...
$y''+y=\alpha\cos x + \cos^3x$
What value of $\alpha$ makes this resonance free?
$\cos^3 x = \frac{1}{4}\cos 3x+\frac{3}{4}\cos x$
So $y''+y=(\alpha+\frac{3}{4})\cos x + \frac{1}{4}\cos 3x$
What am I supposed to do to find alpha?
Having carried outan AC Resonance experiment recently, I find that I have missed a simple step in the procedure- or left it out of my lab book - grrr!
For a parallel RLC circuit I was asked to observe voltage across the inductor (coil) at a constant current setting.
I'm assuming the trace to...
Hi all,
I'm hoping this will be a quickly solved question. In Peskin and Schroeder (2.66), when dealing with source terms in the Klein-Gordon equation, ##(\partial^2+m^2)\phi(x) = j(x)##, they have
$$\int d N =\int \frac{d^3 p}{(2\pi)^3}\frac{1}{2E_p}|\tilde{j}(p)|^2\quad...
Suppose we have a second-order system with the following transfer function:
G(s)= \frac{1}{s^{2} + 2ζω_{n}s +ω_{n}^{2}}
To figure out its resonant frequency, obtain its frequency response function and then maximize it with respect to ω. You get:
ω_{peak} = ω_{n}\sqrt{1-2ζ^{2}}
So it appears...
Hi,
I am an undergrad doing research with CERN and in examining data from ATLAS. I was looking for instances of Z bosons decaying into muons by taking systems with two energetic, oppositely charged muons, adding their four vectors, and getting the invariant mass of the result. There was an...
Homework Statement
I will give a circuit of 5 passive components and an AC voltage source producing a sinusoidal voltage at a fixed frequency of omega / (2*pi) Hz.
i will post a picture asking what is being looked for along with the circuit.
Homework Equations
z = R + jwL + 1 / jwc, jw0L...
While reading organic chemistry, the textbook said that resonance is something which is found everywhere in chemistry. It applies everywhere in chemistry and so on. However so far the only application I've found of resonance is that the more resonance structures a certain molecule has, the more...
To find out in which conjugate base is charge most stabilized by using resonance diagrams, do we draw only significant resonance diagrams or all possible resonance diagrams?
I am simulating a series-parallel tank circuit in MATLAB. This means parallel resonance (inductor and capacitor in parallel) with an added capacitor in series. I would assume the resonance condition is w^2LC = 1 and the impedance is 1/(1/(z_L+z_R)+1/z_C1) + z_C2 with C1 being the parallel...
When the frequency of the applied e.m.f. equals the natural frequency of the electrical circuit the current reaches the maximum value and the circuit is said to be in resonance with the in resonance with applied e.m.f.
I am confuse with the natural frequency of the electrical circuit. What is...
Hello, as we know from acoustics every material or fluid has it's resonant frequency (depends on density, size and other factors) at which the material "vibrates" much more than at other frequencies.
Does the same thing happen when we get higher up the frequency scale, like in Mhz or Ghz and by...
How can you find the resonant frequency of an antenna whether it is a rod shape or an irregular shape or a sphere? I understand they have a capacitive reactance and you may need an inductive load but can someone explain it all in detail and include which formulas to use. I have a radio antenna...
Does anyone have any references to a rigorous analysis of sympathetic resonance?
I'd imagine that the transfer of momentum occurs not through interacting waves, which would indicate an exception to the superposition principle, but because of cross effects of both waves affecting the absorbing...
If I have a oscillator that has an infinite number of harmonics, what decides which harmonics are excited? Is it whatever frequency inputs I drive into the system, and the system damps out frequencies that don't match the harmonics or is it possible that driving at only one harmonic frequency...
Hi, I have been researching antennas all day but I can't figure out how specifically they work in that; they seem to oscillate AC through like a band-pass filter (LC circuit) to get a signal. I'm assuming there is some sort of current 'sloshing' in and out of the antenna as they do. Also that...
Hello!
I have silly question on resonance, it's so silly, I couldn't find an answer:
Lets say there is a O=CR-CH=CH2 bonding in a molecule, R = some other group. You can get (I have put the charges in brackets and Superposition (I think that's what its called):
(1-)O-C=C-C(1+) (ignoring...
This has been confusing me for a couple of days, maybe it's because I just started self teaching physics (which isn't going so well lol)
So entrainment is when one vibrating object begins resonating to the same rate as the more powerful, higher vibrating object. Resonance is when one...
Homework Statement
A car with mass 1220kg including the driver travels over a bridge with expansion gaps spaced 5.5m apart. At a speed of 12.0m/s, the car bounces up and down with exceptionally large amplitude. Two more 80kg passengers now get in the car. a) What speed will result in maximum...
Hello , I was trying to calculate the effective absorption cross section ( group constant) of U-238 in the resonance region between neutron energies (1 ev - 10 kev) but as you can see from the picture U-238 has a lot of resonance at this region, I was wondering if there is a way I can obtain...
Homework Statement
The AC power supply (maxium voltage 20.0V) in RCL circuit is run at resonance for the following parameters:
R = 20.0 Ω
L = 88.0 mH
C = 79.9 μF
When an iron core is added to the inductor, the self-inductance is doubled
A) Find the frequency of the generator
B)...
Homework Statement
What length of open pipe is needed to give resonance to a 384 Hz sound? Assume the speed of sound to 343 m/s.
Homework Equations
f=\frac{nv}{2l}
The Attempt at a Solution
I am lost as to how to even start this problem.
Homework Statement
I am given a system of 4 mirrors, 1 of it partially transmit while the rest have 0 transmittance. I am ask to plot the ratio of the E-field of the wave exiting and entering the system and comment on whether this system exhibit resonance in phase or in amplitude. I just want...
In the diagram attached, the 3 resonance structures of arenium ion bonded to H electrophile are shown.I labelled the carbon atoms in one of the structures for convenience.
From the diagram, the A and B carbons, and D and E carbons, have a double bond between them for two of the resonance...
I'm now styduing micro-cantilever used as a sensor.
It is usually made of silicon based materials.
In a certain condition below, the cantilever will vibrate itself when a certain external frequency is applied.
<condition>
Certain cantilevers may
exhibit mode coupling depending on...
Homework Statement
A symmetrical confocal resonator has a length d=30cm, and the medium has refractive index n=1. Determine the frequency spacing \nuF and the displacement frequency (\Delta\varsigma/\pi)\nuF. Determine all the resonance frequencies that lie within the band 5*1014\pm2*109Hz...
Hello,
my question this time is once again about parallel resonance. I can't really decipher this paragraph from my text:
'...the resistances of a parallel circuit are of signal importance in determining the frequency of resonance, even to the extent of making resonance either possible or...
I understood how it responds by varying the other parameters (L , C...) but how does it respond to changes in frequency? (Honestly speaking, I barely get a thing they're trying to say in my textbook)
Homework Statement
COnsider electrons tunnelling through a 10eV barrier over a distance 0.001mm.
Find E_{1}. (The energy of the first tunnelling resonance.)
Homework Equations
I have an equation for the tunnelling probability...
Homework Statement
I'm in grade 11 working on a science fair project I found on this site:
http://www.sciencebuddies.org/science-fair-projects/project_ideas/Elec_p014.shtml
Grade 11 physics doesn't cover much so I'm confused about why the radio is set up the
way it is...
I know that...