(a +à,), H = a.. Determine the 4) For a plane wave in free space, Ê...
An optical plane wave in free space has a wavevector of magnitude k = 1.288 x 107m-1 and travels in the direction k= ta (ĉ + 2Ÿ – î) with its electric field in the xy-plane. a) Calculate the direction ê of the electric field. (Take ex to be positive). b) Calculate the direction Ô of the magnetic field. c) How many wavecrests (peak-to-peak) lie between the origin of coordinates and the point (x, y, z) = (0,0.5,0.1) mm? (Recall...
please give answer in easy to understand manner as endsem tomorrow the (b) For a uniform plane wave propagating in free space,the apparent phase velocities along found to be 6V2x i 0,n/s and 2V3 x i0 m/s respectively Find 151 x- and y-directions are the direction propagation of wave. the (b) For a uniform plane wave propagating in free space,the apparent phase velocities along found to be 6V2x i 0,n/s and 2V3 x i0 m/s respectively Find 151 x- and...
A plane wave is propagating in free space in the +z direction. The magnitude of the electric field intensity is 120 V/m. Both electric and magnetic fields are in phase. Determine the average power density in Watt per square meter.
4. A uniform plane wave traveling in free-space impinges normally on a loss-less medium with μ2= 2 and Ea= 2. Given that the frequency of operation is 10 GHz, the amplitude of the incident field is 1V/m. Determine the amplitude of the reflected and transmitted waves. Find the standing wave ratio and the location of the first minimum in the Standing Wave Pattern in medium-1 (free-space).
The electric field of a uniform plane 7.11 propagating wave in free space is given by (V/m) E — (* + ј9)30е јл:/6 Specify the modulus and direction of the electric field intensity at the z 0 plane at t0, 5, and 10 ns 7.18 Dry sol is characterized by e 2.5, r = 1, and 104 (S/m) determine if dry soil may be considered a good conductor quasi-conductor, or a low-loss dielectric, and then calculate a В, А, мр,...
In free space (x ≤ 0), a plane wave with ? ⃗ = 100 sin(3x108t - βx)? y V/m is incident normally on a lossless medium (ε= 6ε0, ?= 8μ0) in region x ≥ 0. Determine the reflected and the transmitted wave electric and magnetic field equations.
4. A uniform plane electromagnetic wave propagates in a lossless dielectrie medium with μ = μ° and ε = εγεο . The phasor electric field is given by the where Eo is a complex constant and ω is angular frequency. Note that the wavenumber of the dielectric k is not the free space wavenumber ko-alc = ωνμο (a) Find the relative dielectric constant&, (b) Find the direction of propagation n and draw it on the figure. (c) Sketch (draw) on...
Given the electric field phasor E-E) ρ-le-jkza, in cylindrical coordinates, where 1.4 , show that it represents an electromagnetic wave propagating in free space by using (a) Maxwell's equations, and (b) Helmholtz equation. (c) Find the magnetic field phasor H. 88 8-9 Given the electric field phasor E -(E.a, +jE a)e n free space, determine (a) propagation direction, (b) H, (c) & and (d) polarization state. 1th yeaeo circularly polarized waves. Given the electric field phasor E-E) ρ-le-jkza, in cylindrical...
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...
A single frequency (monochromatic) plane wave propagating in free space is normally incident on plane surface of a medium with the relative permittivity of 1.69. What fraction of the power of the incident wave is reflected off the surface of the medium?