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Figure 32.13 shows one wavelength of a sinusoidal
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- Figure P24.13 shows a plane electromagnetic sinusoidal wave propagating in the x direction. Suppose the wavelength is 50.0 m and the electric field vibrates in the xy plane with an amplitude of 22.0 V/m. Calculate (a) the frequency of the wave and (b) the magnetic field B when the electric field has its maximum value in the negative y direction. (c) Write an expression for B with the correct unit vector, with numerical values for Bmax, k, and , and with its magnitude in the form B=Bmaxcos(kxt) Figure P24.13 Problems 13 and 64.arrow_forwardA linearly polarized microwave of wavelength 1.50 cm is directed along the positive x axis. The electric field vector has a maximum value of 175 V/m and vibrates in the xy plane. Assuming the magnetic field component of the wave can be written in the form B = Bmax sin (kx t), give values for (a) Bmax, (b) k, and (c) . (d) Determine in which plane the magnetic field vector vibrates. (e) Calculate the average value of the Poynting vector for this wave. (f) If this wave were directed at normal incidence onto a perfectly reflecting sheet, what radiation pressure would it exert? (g) What acceleration would be imparted to a 500-g sheet (perfectly reflecting and at normal incidence) with dimensions of 1.00 m 0.750 m?arrow_forwardA linearly polarized microwave of wavelength 1.50 cm is directed along the positive x axis. The electric field vector has a maximum value of 175 V/m and vibrates in the xy plane. Assuming the magnetic field component of the wave can be written in the form B = Bmax sin (kx t), give values for (a) Bmax, (b) k, and (c) .(d) Determine in which plane the magnetic field vector vibrates. (e) Calculate the average value of the Poynting vector for this wave. (f) If this wave were directed at normal incidence onto a perfectly reflecting sheet, what radiation pressure would it exert? (g) What acceleration would be imparted to a 500-g sheet (perfectly reflecting and at normal incidence) with dimensions of 1.00 m 0.750 m?arrow_forward
- The electric field of an electromagnetic wave traveling in vacuum is described by the following wave function: E =(5.00V/m)cos[kx(6.00109s1)t+0.40] j where k is the wavenumber in rad/m, x is in m, t s in Find the following quantities: (a) amplitude (b) frequency (c) wavelength (d) the direction of the travel of the wave (e) the associated magnetic field wavearrow_forwardA uniform circular disk of mass m = 24.0 g and radius r = 40.0 cm hangs vertically from a fixed, frictionless, horizontal hinge at a point on its circumference as shown in Figure P34.39a. A beam of electromagnetic radiation with intensity 10.0 MW/m2 is incident on the disk, in a direction perpendicular to its surface. The disk is perfectly absorbing, and the resulting radiation pressure makes the disk rotate. Assuming the radiation is always perpendicular to the surface of the disk, find the angle through which the disk rotates from the vertical as it reaches its new equilibrium position shown in Figure 34.39b. Figure 34.39arrow_forwardA point source emits monochromatic electromagnetic waves into air uniformly in all directions. At a distance of 5 m away from the source you detect the wave with an electric field amplitude of 20 V/m. Determine the amplitude of the electric field (in V/m) at a distance 40 m. Moving to another question will save this response.arrow_forward
- 2) A planar electromagnetic wave is propagating in the +x direction. At a certain point P and at a given instant, the electric field of the wave is given by E=(0.082 V/m). What is the Poynting vector at the point P at that instant? (c-3.0 x 108 m/s, u0= 47 x 10-7 T-m/A, 80-8.85 x 10-12 c2/N-m²) 1.Please draw the coordinate system with axes x, y, and z and unit vectors i.j.k; Show where the vectors of the field E and B are on the coordinate system, where the direction of propagation of the wave is. 2. Right down what is given with letters E 3. Right down what you are looking for S-2 Use one the unit vectors to show what would be the direction of the vector 5; 4. Start with general formulas, not numbers. Connearrow_forwardThe maximum electric field strength of an electromagnetic wave is 3.13 kV/m The wave passes through a rectangular surface A of side a= 2.56 cm and b= 11.78 cm Determine the average power P through the surface A in W 7 102 25 70 39arrow_forwardA sinusoidal electromagnetic wave which propagates in vacuum with E () + k)EmarSin(kz - wt) falls on a rectangular surface in the yz plane with vector area à = (2m²)î. The electromagnetic wave is totally absorbed by the surface and the average radiation force on the surface is 5 x 10 N. What is Emax in units of V- m!? (Take eo = 8.85 x 10 12 C² .N'.m ²) O 118.85 O 95.08 O 47.54 O 23.77 O 11.88arrow_forward
- A sinusoidal electromagnetic wave emitted by a cellular phone has a wavelength of 30.7 cm and an electric field amplitude of 3.70×10-2V/m at a distance of 210 m from the phone. Calculate (a) the frequency of the wave; (b) the magnetic field amplitude; (c) the intensity of the wave.arrow_forwardA sinusoidal electromagnetic wave emitted by a mobile phone has a wavelength of 35.4 cm and an electric-field amplitude of 5.40 x 10-2 V/m at a distance of 250 m from the phone. Calculate (a) the frequency of the wave; (b) the magnetic-field amplitude; (c) the intensity of the wave.arrow_forward1) In a sinusoidal electromagnetic wave in a vacuum, the electric field is given by E=Emaxcos(ky+wt) i ( w is omega) This wave propagates in the negative y-direction. Explain why. 2) In a sinusoidal electromagnetic wave in a vacuum, the electric field is given by E= Emax cos(ky+wt)i This magnetic field of this wave has only a z-component. Explain why.arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
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