Consider an electromagnetic harmonic plane wave, where the peak electric field amplitude is 1 N/C. a)...

Consider an electromagnetic harmonic plane wave, where the peak electric field amplitude is 1 N/C.
a) What is the irradiance of this plane wave?
b) Consider such a wave with a frequency in the centre of the visible band of the electromagnetic spectrum. What is the number of photons passing through an area of 1 m² in 1 second? (Assume the area the light is passing through is perpendicular to the wave’s propagation direction).
c) Now consider two additional waves - one in centre of the microwave band, and the second in the centre of the X-ray band. Repeat part b) for each of these two waves.

Expert Solution

c= speed of light in vacuum=3*10^8 m/s

genius_generous answered 1 year ago

A plane electromagnetic wave with magnetic field amplitude 0.02 T is propagating through a vacuum. What...

A plane electromagnetic wave with magnetic field amplitude 0.02 T is propagating through a vacuum. What is the electric field amplitude? B) What is the magnitude of the Poynting vector? C. If the wavelength is 500 nm what is the wave frequency and the energy of a single photon? D. How many of these photons must pass through a square meter each second to yield the power flux calculated in part B?

Consider electric field of electromagnetic waves that are parallel to plane of incidence find a) fractional...

Consider electric field of electromagnetic waves that are parallel to plane of incidence find a) fractional ratio of reflected and refracted fields relative to incident field b) critical angle at which reflected wave vanishes

The electric field of an electromagnetic wave that propagates in a vacuum is given by: ?⃗...

The electric field of an electromagnetic wave that propagates in a vacuum is given by: ?⃗ (?, ?) = 2 cos (α? - ω?) ? + 2 sin (α? - ω?) ?, ?? (?/?); ???? α ? ω ??? ?????????? a) What is the amplitude E0 of the electric field, its angular frequency, period, frequency f, wave number | ?⃗ |, wavelength, its speed u and its phase constant φ? b) I) Determine the electric field in the x-y plane...

The components of the electric field in an electromagnetic wave traveling in vacuum are described by...

The components of the electric field in an electromagnetic wave traveling in vacuum are described by Ex = 0, Ey = 0, and Ez = 2.84 sin(8.73x - ωt) V/m, where x is measured in meters and t in seconds. Calculate the frequency of the wave. Tries 0/99 Calculate the wavelength of the wave. Tries 0/99 Calculate the amplitude of the magnetic field of the wave. Tries 0/99 Calculate the intensity of the wave. Tries 0/99

At a certain location, electromagnetic wave 1 is measured to have an average electric field of...

At a certain location, electromagnetic wave 1 is measured to have an average electric field of Eav = 152 N/C, and electromagnetic wave 2 is measured to have an average magnetic field of Bav = 0.87 µT. a. (5 points) Calculate the average intensity of each wave. b. (5 points) If the electromagnetic waves are being measured 0.54 m from their light sources (assume that they are emitting light uniformly in all directions), what average power is each source emitting?...

A light wave with an electric field amplitude of 2E0 and a phase constant of zero...

A light wave with an electric field amplitude of 2E0 and a phase constant of zero is to be combined with one of the following waves: wave A has an amplitude of E0 and a phase constant of zero wave B has an amplitude of E0 and a phase constant of π wave C has an amplitude of 2E0 and a phase constant of zero wave D has an amplitude of 2E0 and a phase constant of π wave E...

Consider a harmonic electromagnetic plane wave with angular frequency ω and propagation vector k=(kx,ky,kz) (i.e., propagating...

Consider a harmonic electromagnetic plane wave with angular frequency ω and propagation vector k=(kx,ky,kz) (i.e., propagating in an arbitrary direction). The electric field vector is E=(Ex,Ey,Ez) with amplitudes (Exo,Eyo,Ezo) and the magnetic field vector is B=(Bx,By,Bz) with amplitudes (Bxo,Byo,Bzo). a) Write an expression for the electric and magnetic waves using complex representation. b) Using the laws of electromagnetism without sources (Maxwell’s equations in free space), prove that k × E = ωB, and k · E = 0 c) What...

a. Write an expression for the electric field vector of a uniform plane wave in free...

a. Write an expression for the electric field vector of a uniform plane wave in free space that is propagating in the direction given by a line from the origin to the point (3,0,4) and that is linearly polarized along the y-direction. It has a wavelength of 2 �m and reaches its positive maximum amplitude of 20 V/m at a distance of 1 m from the origin at t = 0 s. b. Compute the irradiance of this wave.

The magnetic field in a plane monochromatic electromagnetic wave with wavelength λ = 684 nm, propagating...

The magnetic field in a plane monochromatic electromagnetic wave with wavelength λ = 684 nm, propagating in a vacuum in the z-direction is described by B⃗ =(B1sin(kz−ωt))(i^+j^)B→=(B1sin⁡(kz−ωt))(i^+j^) where B1 = 5.3 X 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1) What is k, the wavenumber of this wave? m-1 2) What is zmax, the distance along the positive z-axis to the position where the magnitude of the magnetic field is...

A plane electromagnetic wave is incident at an angle θ0 on a plane conductor of conductivity...

A plane electromagnetic wave is incident at an angle θ0 on a plane conductor of conductivity σ (ε = 1, μ = 1), Calculate the reduction in amplitude of the wave upon reflection.(Assume the conductivity to be large, but not infinite)

Question