Concept explainers
The electric field of a traveling electromagnetic wave is given by
Determine (a) the direction of wave propagation, (b) the wave frequency f, (c) its wavelength λ, and (d) its phase velocity up.
Want to see the full answer?
Check out a sample textbook solutionChapter 1 Solutions
Fundamentals of Applied Electromagnetics (7th Edition)
- Graph A Graph B Displacment vs. Position for Random Wave Displacementvs. Time for Random Wave 1 2 3. 2 3 4 -1 -2 -2 -3 -4 -4 -5 -5 -6 Position (m) Time (s) What is the wavelength of the wave represented by these two graphs? Your answer: 0.5 m 2 m 4 m 6 m Displacement (m) Displacement (m)arrow_forwardPlease answer quickly The angular frequency of waveform having a period of 1 msec is 2pi radians/sec. True False Root mode square value of a signal is same as the effective value of a signal. True False The magnetic field energy stored in between the plates of the capacitor is mathematically equal to the half of the product of its capacitance and the square of the voltage across the capacitor. True Falsearrow_forwardThe propagation of an electric wave, indicated by the red line E in the shown figure, is described by:E=E0 sin (ky-ωt)Three electric waves, A, B and C, are derived from wave E. Drag the correct wave equation from the available options (above the figure), to A, B and C (left of the y-axis).arrow_forward
- Two sinusoidal waves travelling in the same direction with the same amplitude, wavelength, and speed, interfere with each other to give the resultant wave: y_res (x.t) = 8 cm sin(4ttx-60rtt-T/3). The amplitude of the individual waves generating this wave is: 4/13 cm 4 cm 8 ст 2/13 cm 2 cmarrow_forward11. X-rays with a wavelength of 1, = 9.587 pm are used in a Compton scattering experiment (i.e. the photons are scattered by essentially free electrons). What is the energy, E , of the incident photons in eV? а. b. When the Compton scattered X-ray scatters to an angle (measured from the direction of the incident X-ray) of 0 =145.0°, what is the wavelength of the Compton scattered X-ray? When the Compton scattered X-ray scatters to an angle (measured from the direction of the incident X-ray) of 0 =145.0°, what is the change in energy for the X-ray photon in eV (or the difference in energy between the scattered photon and the incident photon)? d. с. When the Compton scattered X-ray scatters to an angle (measured from the direction of the incident X-ray) of 0 =145.0°,what is the change in kinetic energy for the scattered electron in eV?arrow_forwardIf two waves ( Y1 and Y2 ) move in the same direction and superimpose with each other to create a resultant wave, What would happen to the amplitude of resultant wave if those waves are in phase with each other?( the amplitude of the resultant wave at x = 10 m) Consider: Y1 = 7 sin (2x - 3nt + 1/3) and Y2 = 7 sin (2x + 3nt)arrow_forward
- QIV) Time variation of a continous wave propagating along +z direction with a speed of 5m/s is shown below. Write a mathematical expression to describe the wave motion. u(t) िarrow_forwardAn electromagnetic wave of the form E = 2 Sin(kx – wt)î B Cos(kx – wt)j travels though a media with & = 2 l =1 at 9Hz. What is the waves velocity?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 impedance value of the wave? 238 Ohm 377 Ohm 120 Ohm 150 Ohmarrow_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 10 Hz . If the wave is polarized on the positive z direction and its wavelength is 12.6 meter, find the phase velocity. Assume the initial phase is 0. Select one: O a. 20.05 * 107 O b. 7.9 * 10° O c. 4.9 * 107 O d. –20.05 * 107arrow_forwardThe 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 10 Hz . If the wave is polarized on the positive z direction and its wavelength is 12.6 meter, find the wavenumber. Assume the initial phase is 0. Select one: O a. rad/m 12.6 O b. 2 m/sec 12.6 O c. 108 rad/m O d. 108 rad/secarrow_forwardAn electromagnetic wave of the form E = 2 Sin(kx – wt)î B Cos(kx – wt)j travels though a media with & = 2 l =1 at 9Hz. What is the wave number (k)?arrow_forward
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,