What is the maximum energy flow in electromagnetic waves and relationship between frequency and wavelength?
In an electromagnetic wave, the maximum energy flow (also known as the Poynting vector) is given by the following equation:
S = E₀H₀
where:
- S is the maximum energy flow in watts per square meter (W/m²)
- E₀ is the amplitude of the electric field in volts per meter (V/m)
- H₀ is the amplitude of the magnetic field in amperes per meter (A/m)
The relationship between frequency and wavelength in electromagnetic waves is given by the following equation:
f = λν
where:
- f is the frequency in hertz (Hz)
- λ is the wavelength in meters (m)
- ν is the speed of light in meters per second (m/s)
From the above equations, we can see that the maximum energy flow of an electromagnetic wave is directly proportional to the product of the electric and magnetic field amplitudes. It is also inversely proportional to the wavelength of the wave.
Hello,
As There is energy in an electromagnetic wave, whether it is absorbed or not. Once created, the fields carry energy away from a source. If absorbed, the field strengths are diminished and anything left travels on. Clearly, the larger the strength of the electric and magnetic fields, the more work they can do and the greater the energy the electromagnetic wave carries.
A wave’s energy is proportional to its amplitude squared (E2 or B2). This is true for waves on guitar strings, for water waves, and for sound waves, where amplitude is proportional to pressure. In electromagnetic waves, the amplitude is the maximum field strength of the electric and magnetic fields. (See Figure 1.)
Thus the energy carried and the intensity I of an electromagnetic wave is proportional to E2 and B2. In fact, for a continuous sinusoidal electromagnetic wave, the average intensity Iave is given by
Iave=(cϵ0 Square (E0))/2
For magnetic field, energy is:-
Algebraic manipulation produces the relationship
Iave=(csquare (B0)μ0)/2
In this way, using Poynting vector theorem, energy can be calculated by using cross product of electric field vector and magnetic field vector.
Thanks,
Lamda=3e08/freq in meter _free space
P=E×H in Watt/m^2
Reflection constant zero indication for energy
The rate of energy flow per unit area of an electromagnetic wave has an average value of intensity as I = 0.695 W / m 2. The part of EM theory that describes energy flow is Poynting's theorem. It says that energy in the EM fields moves from one place to another in a direction that is perpendicular to both the E field and the B field. For a circuit there is a current which creates a B field which wraps circularly around the wire. The speed of a wave is wavelength times frequency. As frequency increases, wavelength decreases, and the more powerful the electromagnetic wave becomes. Electromagnetic wave energy is measured in electron volts. This unit represents the kinetic energy required to transfer electrons via volt potential. The, amplitude of electric field, E0=100V/m; amplitude of magnetic field, H0=0.265A/m. We know that the maximum rate of energy flow, S=E0×H0=100×0.265=26.5W/m2. Generally speaking, we say that light travels in waves, and all electromagnetic radiation travels at the same speed which is about 3.0 * 108 meters per second through a vacuum. We call this the "speed of light"; nothing can move faster than the speed of light.The energy carried by any wave is proportional to its amplitude squared. For electromagnetic waves, this means intensity can be expressed as Iave=cϵ0E202 I ave = c ϵ 0 E 0 2 2 , where Iave is the average intensity in W/m2, and E0 is the maximum electric field strength of a continuous sinusoidal wave. The shorter the wavelength, the higher the frequency. Hence, frequency and wavelength are inversely proportional to each other. Because all light waves move at the same speed in a vacuum, the number of wave crests passing at a given spot in one second is determined by the wavelength. Frequency and wavelength have an inverse relationship, so as the frequency increases from red to violet, the wavelength decreases. Wave speed is represented by the variable v, frequency (cycles per second) by f, and wavelength (cycle length) by the Greek letter λ. So v = f * λ or solving for λ, the equation becomes λ = v / f. Wave speed has units of distance per unit time, for example, meters per second or m/s. Wavelength is inversely proportional to the frequency. Because the velocity is constant, any increase in frequency results in a subsequent decrease in wavelength. Therefore, wavelength and frequency are inversely proportional.
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