Consider a sinusoidal electromagnetic wave in vacuum whose electric field has only a z-component given by E, EmazCos (ky+wt). Which statement is TRUE? O The wave propagates in the positive z-direction. O The wave propagates in the negative z-direction. O The wave propagates in the positive y-direction. O The wave propagates in the negative y-direction. The wave propagates in the positive x-direction. O The wave propagates in the negative x-direction. The wave propagates in an unknown direction.
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- An electromagnetic wave has an electric field given by E(z, t) = (2.98 x 105 V/m)î cos [kz – (12.65 × 10-12 rad/s) t] What is the wavelength, frequency, and direction of propagation of the wave? f 12.65 × 1012 Hz Propagation -i direction 2.98 x 10° m 1.49 x 10-4 m 2.01 × 1012 Hz +i direction -k direction b 2.98 x 105 m 12.65 × 1012 Hz d 1.49 x 10 2.01 × 1012 Hz +k direction m О А. а ОВ. Ь О С. С O D. dWhat is the maximum value (in units of N/C) of the electric field Emax in an electromagnetic wave propagating in vacuum whose average intensity is I = 4 %3D W/m2?From a local TV station transmitter, a sinusoidal, plane electromagnetic wave is normally incident on an open window that has an area of 0.510m2. The wave travels to the right in the positive x-direction at the speed of light c and the window is thus perpendicular to the x-axis. See the schematic. Suppose the three electric field components have wave functions: EX = 0 EY = Emsin(kx-ωt) EZ = 0 See the axes below. At the moment shown the electric field - indicated by the vertically upward arrow - points in the positive y direction. Assume the field magnitude Em = 0.01000 V/m. The Erms (root mean square) of the electric field would thus be Erms = 0.00707 V/m. (a) At the moment shown above, in what direction does the magnetic field point? Indicate this direction by drawing a symbol near the z-axis. (b) Compute the numerical value of amplitude Bm of the magnetic field component pointing in the direction you found.
- There is a vector defined by John Henry Poynting in 1884 whose direction gives the direction that an electromagnetic wave transmits its field energy and whose magnitude is the rate at which energy is being transmitted per square meter of the wavefront. For mutually perpendicular E- and B-fields in the wave, the magnitude of the Poynting vector is S =EB/mu0 and the direction is given by a right-hand rule, curling fingers from E vector and B vector. a) Carefully analyze the units of the Poynting vector and show that they are indeed watts per square meter. b) Find the intensity of the light in a beam of light whose electric field strength is 360 N/C and whose magnetic field is 1.2 muT.An electromagnetic wave is normally incident on a flat surface. Assuming the power per unit area transmitted is S = 61.4 W/m², and the surface is a perfect absorber, what is the radiation pressure (in nPa) on the surface? nPa Need Help? Read ItBecause the speed of light in vacuum (or air) has such a large value, it is very difficult to measure directly. To measure this speed, you conduct an experiment in which you measure the amplitude of the electric field in a laser beam as you change the intensity of the beam. Figure is a graph of the intensity I that you measured versus the square of the amplitude Emax of the electric field. The bestfit straight line for your data has a slope of 1.33 x 10-3 J/(V2 . s). (a) Explain why the data points plotted this way lie close to a straight line. (b) Use this graph to calculate the speed of light in air.
- A uniform transverse electromagnetic wave is propagating in the z-direction, and its magnetic field component is in the y- direction and given as By = Ho (x²+y+z2) cos(wt). The conduction current density is zero in the medium. What is the magnitude of the displacement current density in Amperes/m² at the point (x,y,z) = (1, 1, 1)? 0.17 O 0.39 0.24 O 0.31 O 0.42From a local TV station transmitter, a sinusoidal, plane electromagnetic wave is normally incident on an open window that has an area of 0.510 m2. The wave travels to the right in the positive x-direction at the speed of light c and the window is thus perpendicular to the x-axis. See the schematic. Suppose the three electric field components have wave functions: EX = 0 EY = Emsin(kx-ωt) EZ = 0 See the axes below. At the moment shown the electric field - indicated by the vertically upward arrow - points in the positive y direction. Assume the field magnitude Em = 0.01000 V/m. The Erms (root mean square) of the electric field would thus be Erms = 0.00707 V/m. (a) At the moment shown above, in what direction does the magnetic field point? Indicate this direction by drawing a symbol near the z-axis. Compute the numerical value of amplitude Bm of the magnetic field component pointing in the direction you found. (b) Write the wave function for the magnetic field component you referenced in…A sinusoidal electromagnetic wave is propagating in vacuum in the +y direction. If the magnetic field is in the -z direction and has a magnitude of 2.50 nT at some instant in time and at a certain location in space, what is the magnitude and direction of the electric field at this same instant in time and location in space? O A. 0.750 V/m, in the +x direction O B. 0.750 V/m, in the -x direction O C. 750 V/m, in the +x direction O D. 0.750 V/m, in the -x direction