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.
Amplifier gain ##A_V## is defined as the ratio of an amplifier's output voltage to its input voltage,
i.e. ##\displaystyle\frac{V_R}{V}=\frac{IR}{IZ}=\frac{R}{R}=0.5## at 200 Hz.
But this is absurd. Where have I gone wrong? Please nudge me in the right direction.
The graph is,
I do not understand why how it is possible to find the speed of sound from the gradient for this graph. Can someone please help?
Many thanks!
I am trying to buy an EOM for a PDH lock with a large laser input power and I was told I should go for a free space EOM. I see that they come as resonant and non-resonant, but I can't seem to understand the advantage of a non-resonant one. The resonant one seems to do pretty much everything the...
Consider an LC circuit consisting of a parallel plate capacitor and a solenoid inductor in series. The formula for the resonant frequency of this circuit is 1/√(LC) where “L” is the inductance of the solenoid and “C” is the capacitance of the capacitor.
Now consider a high-frequency cavity...
Hello! I am trying to make some predictions for an experiment in which we have a first ##E_2## transition in an atom driven by a laser, and then we have a second laser that is ionizing the molecule only if the first laser was resonant (i.e. if the atom was excited). For the purpose of the...
Hi, a question:
Construct a resonant dipole to receive 12MHz.
Answer;
λ = c/f
= (3x10^8) / (12 x10^6)
= 25m
The dipole length λ/2 = 12.5m
The length of each side dipole is 12.5m/2 = 6.25m
Im confused, isn’t it the answer is 12.5m?
Why require to divide 12.5m/2 again to get the answer...
Hi PF!
I have been on and off working on a fluids problem for 2 years. I am SO close but the answer isn't coming out clean. I'll highlight the equations I solve and the technique. If you can help me finish this, I'll not only be incredibly grateful but I'll either thank you in the paper...
I know the v = λf is the formula to find the resonance frequency of a single continuous wave and the formula for resonance frequency of a spring is: 1/2π∗sqrt(𝑘/𝑚)
but what about the Formula for a random object?
a car, or a rock, water ?
is there one Formula to rule them all? or do you...
Hi,
I've a doubt about how to the energy is stored in a 'real' RLC parallel resonant network feeds from a sinusoidal source. Take a 'real' RLC parallel network having a resistor ##R_s## in series with the inductor ##L_s## (modeling its loss) with the capacitor C in parallel and consider it in...
This is the FM demodulation "discriminator" circuit. It is one of the simplest analog demod setups one could think of. An RF (FM) voltage signal is applied at V12 and the voltage at ' a' ' is supposed to contain the AF signal in its amplitude.
The idea behind the circuit is that it resonates at...
How do I calculate a resonate frequency of a length of pipe submerged totally under water?
Do I just take speed of sound in water which is 1,481m/s at room temp, and decided it by length of pipe in meters multiplied by 4?
so at 20 celsius water and 20cm pipe it would just be: 1481 / (.2 x...
In 1D Photonic crystals, a defect can be introduced to create a defect/resonance mode and enable transmission. At first considerations, the thickness of the single defect layer determines the transmission frequency. Moreover, if it is a half-wavelength layer it will enable a resonance condition...
These are the questions that I can't figure out how to do.
I have been assigned a lab report based on resonating frequencies on a string and am having trouble completing some of the questions in the report. This is what i currently have from the previous steps required.
A bit of info...
As I understand, if you solve the Maxwell's field equations for a resonant cavity, supposing a time dependence of the form ##e^{iwt}##, you get an eigenvalue problem and different modes as possible solutions. I'm reading some notes where the author states that each mode can be associated with a...
I think the answer for this may be straightforward, but I don't see anywhere that explains this from the scratch:
A large resonant cavity with a small hole is used to approximate an ideal black body.
I understand the conditions for the modes inside the cavity. But there are two points that...
Hello,
I would like to replicate the results from the paper "wireless power transfer via strongly coupled magnetic resonances", but I'm having trouble interpreting their equations. I'm creating a MATLAB script to do so. In the paper, they get to a point where L and C are to be calculated in a...
Hello,
Suppose that I have a resonant MEMS accelerometer. It has a suspending beam (resonator) and I want to apply an AC voltage to the beam which will be at beam's resonant(natural) frequency.
When I do this, I will create a standing wave pattern of acoustic waves (vibrations) inside the...
Hello,
natural frequencies of (circular) membrane are expressed in every textbook as:
where is the m-th positive root of the Bessel Function of the first kind of order n. For m=1, n=0: ξmn = 2,405. represents the radius of membrane, and is the velocity of wave propagation...
Homework Statement
An organ pipe 1.2m long and open at both ends produces a note with the fundamental frequency. If the speed of sound in air is 345 m/s, what is the fundamental frequency?
Homework Equations
Wave equation (f = v/lambda)
The Attempt at a Solution
My textbook solves the problem...
In a typical resonant bandpass filter, resonance is set as none at 0 and full at 1, such that the filter rings infinitely at 1 and not at all at 0.
If there is a two-pole resonant bandpass filter, with an impulse excitation to a maximum amplitude of "1" and a resonance setting between 0 and 1...
Homework Statement
My question here isn't a specific question that has been given for homework, but a more general one. For an assignment I have to 'derive an expression for the resonant frequency, ω0' for two different systems, the first for 'a mass M connected to rigid walls via two springs'...
Homework Statement
A series RLC current having a resistance of 40ohms and inductance of 400mH and a capacitance of 300microfarad is energized from 50Hz, 200V A.C supply. Find
i) Resonance Frequency of the circuit
ii) Peak current drawn by the circuit at 50Hz
iii) Peak current drawn by the...
I would like to make a bell out of a used compressed gas cylinder, but I would like to tune it to a specific note or frequency, e.g. A (440Hz). Can someone help with a formula to calculate this so I can cut it precisely?
Homework Statement
1. An RC filter is constructed by modifying a voltage divider. The top resistor R1 = 3kOhms remains the same but the bottom resistor R2 is replaced by a capacitor C = 8nFarads. Determine the corner frequency fc for this filter in kHertz.
2. For an RLC circuit R = 12.4...
Hello! I hope I'm in the right place for this questions. In short, I'm a musical instrument builder. I'm looking at placing a piece of wood above a closed resonator box. The box (also made out of wood) will have a hole in the top that is centered under the piece of wood. I know the material that...
Hi
How can find the resonant frequency of small objects like dust particles?
What factors affect the resonant frequency?
And is resonant frequency dependent on size?
i.e. if the resonant frequency of 1 cm3 of glass is some certain value, would it be the same for a larger size?
If a self oscillating electrical (passive) system is excited at two nodes A and B by a sinusoidal current, and if this system has one degree of freedom, then the response of the system is maximal at the resonance frequency. Quantitatively, this means that the ratio of the exciting complex...
Hello ,
could someone tell me ,where to find Resonant frequency of the chemical bond of the following Volatile organic compounds:
Propene,Toluene,Benzene,Ethylbenzene.
Thanks in advance .
Suppose I have some sort of a filter, whose transfer function is given by H(w), where w is the angular frequency of the input signal in radians per second. I want to know the maximum value of the transfer function. If I solve for the resonant frequency w0, which from my understanding is the...
Homework Statement
In the experiment for the determination of the speed of sound using a resonance tube, the diameter of the column tube is 4 cm. The frequency of the tuning fork is 512 Hz. The air temperature is 38° C in which the speed of sound is 336 m/s. The zero of the meter scale...
Homework Statement
Consider the spring-mass-dashpot system driven by a sinusoidal force on the mass:
(mD2+bD+k)x=F where sin(omega*t)
Recall that for the unforced underdamped oscillator (b^2<4km, F=0), the value of the natural damped frequency omega_d=sqrt(k/m - b^2/(4m^2)
Find the resonant...
Hello
I am aware that one method behind the production of right handed neutrinos is neutrino oscillation. Its been theorized that both non resonant and resonant neutrino oscillation can produce them
I know that with non resonant neutrino oscillation the neutrinos don't reach thermal...
Hello
Just wondering what the difference is between resonant and non-resonant neutrino oscillations.
Are resonant neutrino oscillations called Mikheyev-Smirnov-Wolfenstein?
Thank you
Homework Statement
Homework EquationsThe Attempt at a Solution
I'm not exactly sure why my formula isn't working here.
The correct answer given to us is 2.25kHZ.
I hit a glass and ran the sound though a FFT and I found the tone is 775.195 Hz. I then tried to play the tone out of my computer and this glass did not break.
This is the equation I am using:
Amplitude * Math.Sin(Math.PI * Frequency * n2 / 44100D)
I set the Amplitude to 3 and the Frequency to...
Homework Statement
A 2-year old child has an outer ear length of approximately 1.7 cm (compared to 2.5 cmfor an adult). Find the resonant frequency of the outer ear of the average 2 year old
b.Draw a diagram of the natural harmonic for the child’s ear.
Homework Equations
f=v/waveleng
where...
hello, collegues,
I need to calculate current on the right circuit, but I don't really know how.
I have the current in left circuit I and L1 L2 C1 C2.
I have tried to calculate this using impedance and ohms law. As Z2=Xc+XL, and U2=jwM, where M - mutual inductance
I think that I2 should be...
So i have a piezoelectric film deposited in the metal substrate and i want to determine the resonant frequency. Basically i can determine the resonant frequency base on the dimensions. But i need to proved it using experimental set-up. So i applied AC Voltage to the material then the material...
I want to build a Resonant Cavity to play with frequencies around 100-700 mhz. I'd like to try different shapes, so I was thinking in using a cheap malleable material like aluminum foil.
Questions:
- I think one layer of aluminum foil might be too thin.. If I paste a couple of layers will do...
Hi,
A question popped into my mind which I've never thought of in 20 years of making music: when you hold a tuning fork against a simple resonator (a guitar body, a table, any object with some volume really), the resonator amplifies the tuning fork's sound and you hear the tuning pitch louder...
Beam standard atomic clocks work by changing the magnetic state of a cesium atom by applying a microwave frequency that matches the resonant frequency of a cesium atom. What is this resonant frequency of the atom in terms of actual events that occur on the atomic level...
An interesting article on the Tacoma Narrows Bridge collapse of 1940 shown to students of physics throughout the years as an example of the power of resonant frequencies.
However, the explanation was much too simple to be true.
Here's the real story...
When an object vibrates next to another object with the same resonant frequency it causes it to vibrate with it. Why is it that when an object vibrates, it always causes the surrounding air to vibrate with it?
I am working on calculating the interaction between 2-level atoms and an coherent laser field. I can calculate the radiation intensity versus time from the atoms. I want to calculate the spectrum now. I know the spectrum can be calculated as the Fourier transform of ⟨$\langle \sigma^\dagger...
Homework Statement
Given a series RLC circuit, with one R, one L, and one C element, and an AC voltage source with variable frequency, find the resonant frequency experimentally given an ammeter and a voltmeter.
Homework Equations
The current in the circuit when the circuit is in resonance is...
hello, I'm a first year science undergrad, currently learning about mechanics and waves and so on
there's this vine that's been going around, which shows someone playing a harp - here is the video in question; I personally find it quite beautiful and fascinating. Apparently the phenomena is...