Suppose that an electromagnetic wave which is linearly polarized along the x−axis is propagating in vacuum along the z−axis. The wave is incident on a conductor which is placed at z > 0 region of the space. The conductor has conductivity σ, magnetic permeability µ and electric permittivity ε.
(a) Find the characteristic time for the free charge density which dissipates at the conductor.
(b) Write the Maxwell equations and derive the wave equation for a plane wave propagating in a conductor.
(c) Find the attenuation distance at which the incident amplitude reduces to e ^−1 of its initial value.
(d) Find the electric and magnetic fields inside the conductor. 8 (e) Find the power loss per area of the incident electromagnetic wave at the surface of conductor.
Suppose that an electromagnetic wave which is linearly polarized along the x−axis is propagating in vacuum...
Linearly polarized light propagating along the y-direction is incident on a polarizer whose axis is parallel to the 2-direction. If the intensity of the transmitted light is equal to 33% of the incident intensity, what is the angle of polarization (in degrees) between the incident light and the z-axis? (Insert the number of degrees without unit)
4. (30) A linearly polarized electromagnetic wave has the following magnetic field component: B(x,t)-Bo sin(kr -ut) Calculate the electric field of the electromagnetic wave by using the Maxwell term of the Ampere-Maxwell equation, evaluating the curl of the magnetic field, and then integrating to get the electric field.
answer fast (A) A linearly polarized electromagnetic wave of wavelength 3.50 cm is traveling through empty space along the positive z-axis. The magnitude of the electric field Emaz = 275 V/m. The electric field oscillates along the x-axis. The magnetic field B = Bmaz sin(kr – wt). %3D %3! (i) Determine values for Baz, k, and w. (ii) What is the magnitude of the Poynting vector of this wave? () What radiation pressure (in Newtons) would this wave exert if...
19. A linearly polarized wave propagates in a perfect dielectric medium with relative permittivity of 2. The wave reaches the interface between this medium and air at an angle of incidence 60°. The wave's electric field vector is parallel to the plane of incidence. What percentage of the incident power is transmitted in air? 20. A plane electromagnetic wave traveling in vacuum is normally incident onto a vacuum/dielectric boundary. 36% of the incident power is carried by the reflected wave....
A left-handed circularly polarized plane wave propagating in air has an electric field magnitude of 28 V/m. This wave is normally incident on a lossless medium characterized by a relative permittivity of 8,8 and a relative permeability of 1,3, which occupies the region defined by z 0. Determine the percentage of the energy that is transmitted into the second medium. (Enter at least three digits after the decimal separator in your answer)
Given that a sinusoidal electromagnetic wave is propagating in a vacuum. At a particular time at a point P the electric field is in one direction and the magnetic field is in another direction but perpendicular. Find the direction of the wave and if given the intensity at the point P find the electric field amplitude
A sinusoidal electromagnetic wave in a vacuum is propagating in the positive y-direction. At a certain point in the wave at a certain instant in time, the magnetic field points in the positive z-direction. At the same point and at the same instant, the electric field points in the positive x-direction negative x-direction positive y-direction negative y-direction positive z-direction negative z-direction
A linearly polarized electromagnetic wave has an average intensity of Io. This wave is incident on a polarizer. What angle between the axis of polarization of the polarizer and the direction of polarization of the incident light will result in an average intensity of light leaving the polarizer of 0.51.10? Submit Answer
A linearly polarized electromagnetic wave has an average intensity of 324 W/m2. This wave is directed towards two ideal polarizers (in real polarizers, transmission is also effected by reflection and absorption). Polarizer A is oriented with its transmission axis at an angle of θ1 = 40.0° with the incident electric field. Polarizer B has its axis at an angle of θ2 = 70.6° with the incident electric field, as shown in the figure. What is the average intensity of the...
A sinusoidal electromagnetic wave is propagating in vacuum. (a) At a given point and at a particular time the electric field is in the +x direction and the magnetic field is in the -y direction. What is the direction of propagation of the wave? (b) At the above point the intensity of the wave is 0.77 W⋅m−2. What is the electric field amplitude at this point? (NOTE: μo=4π×10−7T⋅m/A and c=3.00×108m/s.)