Concept explainers
The electric field of an electromagnetic wave propagating in air is given by
Find the associated magnetic field H(z, t).
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Chapter 6 Solutions
Fundamentals Of Applied Electromagnetics
- A field wave E with an amplitude of 40V/m propagating in air has a dielectric constant (Er) of 32 andA large, perfect dielectric (sigma=0, µr=1) of thickness d falls in a direction perpendicular to the plate.Calculate the amplitude of the wave just after it crosses the plate. helparrow_forwardAn wave is travelling through free space. If the electric field associated with the wave is 6V/m, then estimate the magnetic field associated with the wave.arrow_forwardThe plane wave with a frequency of 3 GHz has a relative dielectric constant of 2.5, a loss tangent of 0.05, and travels in a non-magnetic medium. What is the distance the wave's amplitude will be halved? 2.44 cm 2.5 cm 24.4 cm 27.7 cm 2.5 metersarrow_forward
- A 1.3 GHz uniform wave of amplitude EX0 of 100 V/m at the origin is propagating in the z direction. The medium of propagation has the following parameters ε''=10 x10-11 F/m, ε'=1x10-11 F/m and μ=3x 10-6H/m. Find the instantaneous expression for the electric field.arrow_forwardAn electromagnetic wave in free space is propagating along the z-direction and its electric field is polarized in the +y-direction. The frequency of the wave is 500 MHz, and the maximum amplitude of 10 mV appears at z = 10 m. Write the instantaneous equations for the electric field and magnetic field intensities. Complete solution pleasearrow_forwardElectromagnetics Given A= (x^2y+z) az. If B= curlA, determine By at (2,4,3) 4 decimalsarrow_forward
- The magnetic field of a wave propagating through a certain nonmagnetic material in the positive y direction has an amplitude of 30 mA/m and a frequency of 1082π1082πHz . If the wave is polarized on the positive z direction and its wavelength is 12.6 meter, find the equation of the instantaneous Electric field. Assume the initial phase is 0.arrow_forwardThe magnetic field of a wave propagating through a certain nonmagnetic material is given by: H = x̂ 69cos(10x108t – 15z) (mA/m) Find wavelength (λ) in the material and relative permittivity (εr) of the material.arrow_forwardWhich of the following statements about electromagnetic waves in free space are true? Choose all that apply The wavelengths of the visible waves are some of the shortest electromagnetic waves. The higher-frequency waves have shorter wavelengths than the lower- frequency waves. The electric field vector is always at right angles to the magnetic field vector. The wavelengths of the visible waves are some of the longest electromagnetic waves. The higher-frequency travel faster than the lower-frequency waves. (Explain thoroughly the correct options)arrow_forward
- In a medium with loss, an electromagnetic wave reduces 50% of its initial value by traveling 10 wavelengths. Calculate the attenuation of the wave when propagating 1 wavelength.arrow_forwardCalculate: (a) The mean Poynting vector of the electromagnetic wave: Ei(x,t)=sin(108t-2x)âz [v/m] that propagates through the medium without loss with characteristics: μ1=4μ0 e ε1=ε0/16 (b)Calculate the average power that crosses a circular disk of radius 10 cm located on the x=1 plane;arrow_forwardThe E field of a plane electromagnetic wave traveling in a non- magnetic non- conducting medium is given by E=ax5cos(109t+30Z). What is the dielectric constant of the medium ?arrow_forward
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