Q3) An incident wave travels in free-space along the z-direction and impinges upon a cube of...
4. A uniform plane wave (E, H) with a frequency of 3 GHz travels in the +z direction in a lossless medium with ε,,-4 and μ,,-1. The electric field is polarized in the x-direction. The wave impinges normally on another lossless mediumn in region 2, z >0, where ε,2-9 and μ: 1 . The amplitude of the incident electric field is 100 V/m. Write phasor and instantaneous expressions for: (İ) E, and ill of the total wave in medium 1....
A uniform plane wave traveling along the negative z-axis given by impinges upon an crossed-dipole antenna consisting of two identical dipoles, one directed along the x-axis and the other directed along the y-axis, both fed with the same amplitude. The y-directed dipole is fed with a 90◦ phase lead compared to the x-directed dipole. (a) Write an expression for the polarization unit vector of the incident wave. (b) Write an expression for the polarization unit vector of the receiving antenna...
4) A plane wave in air with is incident upon the planar surface of a dielectric material, with e2.25, occupying the half-space z 2 0. Determine (a) The incidence angle i (e) The field E, of the reflected wave (d) The field E of the wave transmitted into the dielectric, (e) The average power density carried by the wave into the dielectric medium.(30 pts.) (b) The frequency of the wave. Hint: This incident wave is a mixture of parallel and...
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...
An Electromagnetic Wave A sinusoidal electromagnetic wave of frequency 43.0 MHz travels in free space in the x-direction as in the figure. At some instant, a plane electromagnetic wave moving in the x direction has a maximum electric field of 725 N/C in the positive y direction. (a) Determine the wavelength and period of the wave. SOLUTION plane. Conceptualize Imagine the wave in the figure moving to the right along the x-axis, with the electric and magnetic fields oscillating in...
Problem 6. Electromagnetic plane waves in a lossy medium The electric field of an electromagnetic plane wave traveling in a lossy medium can be written as where z is the distance, t is time, and fthe frequency. For f 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (i.e., to 1/3 of the amplitude at z-0 when it arrives at z- 100...
For a certain electromagnetic wave traveling in +z direction in free space, if the electric field vector points in the -y direction and by using an EM filter we can alter the direction to the +x direction, which components would best describe the direction of the magnetic field vector before and after the change? +x, -y -x, -y +x, +y -x, +y
Electromagnetic plane waves in a lossy medium field of an electromagnetic plane wave traveling in a lossy medium can be written as 6. The where z is the distance, t is time, and f the frequency. For f 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (ie, to 130f the amplitude at z = 0 when it arrives at z-100 m)....
can you sketch the answer too 4. Case: Incident light is circularly polarized The calcite material is a half wave plate HWP polarized light Incident light: Clockwise rotation when seen from the side in which light propagates and into the source Sketch your answer here also Notice the different labels of the axis compared to the previous questions. i) Provide an expression for the fields Elx.t) and Eyx.) in the region x<0 Provide an expression for the fields E(x,t) and...
6. A plane wave in free space travels parallel to the x-y plane in a direction that makes an angle θ with the x-axis (ie, the k vector makes an angle θ with the x-axis), what are the expressions for the electric and magnetic fields? What is the average power carried by the wave? 2+2 points 6. A plane wave in free space travels parallel to the x-y plane in a direction that makes an angle θ with the x-axis...