Question

In: Physics

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.

Solutions

Expert Solution


Related Solutions

The magnetic field of a uniform plane wave that propagates in a vacuum, is given by...
The magnetic field of a uniform plane wave that propagates in a vacuum, is given by the expression: B (r, t) = (10^−6 )[xˆ + 2yˆ + Bzzˆ] cos [ωt + 3x - y - z] in m.k.s.units and where xˆ, yˆ, zˆ are unit vectors along the cartesians axes . Find: (a) The propagation direction. (b) The wavelength λ. (c) The angular frequency ω. (d) The associated electrical field
The magnetic field of a uniform plane wave propagating in the +Y direction in medium with...
The magnetic field of a uniform plane wave propagating in the +Y direction in medium with {ɛ, = 18, µ, = 1, 0 = 5}. At y = 0 is H = a, cos(10°n t) (A/m). Determine: %3D a) What is the type of this medium b) The values and units of the following wave parameters a, B,n, vp, A, & and write the name of each parameter. c) Write the expressions of E(y, t) & H(y, t) at y...
Find the electric field vector anywhere in the plane of a dipole. Let the charge value...
Find the electric field vector anywhere in the plane of a dipole. Let the charge value on one charge be q. Let them be separated by d. Let the origin be in between them. And say they are each on the y axis. Please include a diagram in your answer
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...
An electron is released in a uniform electric field, and it experiences an electric force of...
An electron is released in a uniform electric field, and it experiences an electric force of 2.2 ✕ 10-14 N downward. What are the magnitude and direction of the electric field? Magnitude ____________ N/C Direction upward, to the left, to the right or downward?
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...
Determine the expression of the electric field and the electric potential from 0 to infinity along...
Determine the expression of the electric field and the electric potential from 0 to infinity along a hollow conductive disk and assuming that a point charge Q is placed in its center. R1 and R2 are the inner and outer radius of the disk respectively.
Q1. Write notes on electric field. Q2. Write short notes electric field.
Q1. Write notes on electric field. Q2.  Write short notes electric field.
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
Derive wave equations or the electric field and magnetic field in vacuum. (Refer to Griffiths "Introduction...
Derive wave equations or the electric field and magnetic field in vacuum. (Refer to Griffiths "Introduction to electrodynamics" Chapter 9.2.1)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT