How Do You Calculate the Energy of a Wave

If you need to calculate the frequency from the time it takes to complete a wave cycle or T the frequency will be the inverse of the time or 1 divided by T. The formula is.

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E hν.

. The amplitude is given so we need to calculate the linear mass density of the string the angular frequency of the wave on. You can calculate the energy of an electromagnetic wave by using the fact that the electromagnetic field carries an energy density in the amount. Power the sine wave Acrime x is A22 only whenever a is constant.

This video lesson explains how to calculate the energy of a light wave when the frequency of the light wave is known. U ϵ 0 2 E 2 1 2 μ 0 B 2. For example what is the wavelength of a photon that has an energy of.

P 1 2 μ A 2 ω 2 v. Y 5 sin ω t. This lesson explains how to calculate the energy of a light wave when the wavelength of the wave is known.

The energy of each photon is inversely proportional to the wavelength of the associated EM wave. H Plancks constant 66023 10 23. E 6626 x 10 -34 Js x 3 x 10 8 msec 633 nm x 10 -9 m1 nm.

Write your answer in Hertz or Hz which is the unit for frequency. To calculate the frequency of a wave divide the velocity of the wave by the wavelength. λ wavelength of the wave 420 nm.

λ hc E 6626 10³⁴Js 2998 10⁸ms¹ 336 10¹⁹J 591 10⁷ m. According to the equation Enhν energy number of photons times Plancks constant times the frequency if you divide the energy by Plancks constant you should get photons per second. In my notes the energy of a wave is directly proportional to the square of the amplitude ie.

336 10¹⁹ J. U P o t e n t i a l 1 4 μ A 2 ω 2 λ A is the wave amplitude ω is the angular frequency of the wave oscillator λ is the wavelength and µ is the constant linear density of the string. In a linearly polarized plane wave E and B oscillate sinusoidally.

P 1 2μA2ω2v. C velocity of the wave 3 10 8. The equation of a progressive wave is given by.

Y A sin ω t. E h c λ E 6023 10 23 3 10 8 420 E 473 10 19 o r 295 e v. The equation is of the form.

After that you can make use of this to includeOrpiece the related value around the Power spectrum of the model. - Substitute all the values in the above formula to get the energy of the photon. Begin with the equation of the time-averaged power of a sinusoidal wave on a string.

All that remains is to plug in the values and get the answer. If y 5 sin ω t represents the wave find the amplitude of the wave. Henceforth the amplitude is A 5.

Y 5 sin. When the amplitude is different then integrate the wave more than one period of time and divide it when period to obtain the power. The following equation represents the potential energy of the string.

The energy associated with an electromagnetic wave is given by Plancks constant 6626 x 10-34 Js times its frequency. E propto A2 However I recalled that in one of my physics lessons our physics teacher told us that the energy of a wave can be calculated using Ehf where h is the Planck constant and f the frequency. How do you calculate a photon of light.

E hc λ or λ hc E where h is Plancks constant. The average value of a squared sine function is simply half the square of the maximum amplitude so. In other words the energy of a photo is directly proportional to its frequency and inversely proportional to its wavelength.

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