Suppose a source of electromagnetic waves radiates uniformly in all directions in empty space where there are no absorption or interference effects. (a) Derive an expression for the intensity of the waves in terms of the distance. You may use the variables 'P' for power, and 'r' for distance from the source in your expression. Note: Click the red square root symbol to open the equation editor. I= 7 (b) The intensity is related to what power of the distance? 1 (c) The magnitudes of the electric and magnetic fields is related to what power of the distance? ! No, that's not the correct answer.

A plane electromagnetic wave varies sinusoidally at 90.0 MHz as it travels in the positive x-direction. The peak value of the electric field is 2 mV/m, and is directed along the positive x-direction. Determine: the wavelength, the period the peak value of the magnetic field. Write expressions in SI units for the variations in space and time of both the electric and magnetic fields. Include both numerical values and subscripts to indicate direction coordinates.

Consider regions of the EM spectrum. In order to study the structure of a crystalline solid, you want to illuminate it with EM radiation whose wavelength is the same as the spacing of the atoms in the crystal (0.190 nm). A) What is the frequency of the EM radiation in Hertz? B) In what part of the EM spectrum (radio, visible, etc.) does it lie?

Write equations for both the electric and magnetic fields for an electromagnetic wave in the red part of the visible spectrum that has a wavelength of 714 nm and a peak electric field magnitude of 1.8 V/m. (Use the following as necessary: t and x. Assume that E is in volts per meter, B is in teslas, t is in seconds, and x is in meters. Do not include units in your answer. Assume that E = 0 and B = 0 when x = 0 and t = 0.) FIND: E(x,t) = ? B(x,t) = ?

Write equations for both the electric and magnetic fields for an electromagnetic wave in the red part of the visible spectrum that has a wavelength of 708 nm and a peak electric field magnitude of 1.1 V/m. (Use the following as necessary: t and x. Assume that E is in volts per meter, B is in teslas, t is in seconds, and x is in meters. Do not include units in your answer. Assume that E = 0 and B = 0 when x = 0 and t = 0.) Е(x, t) B(x, t)

What is the magnetic field strength (B) for an electromagnetic wave that has an electric field strength E)=770 V/m? = T ) Note that you can enter the answer in scientific notation using "E": x.yz times 109 is represented as x.yzEq. For example, 1.23 x 10-9 can be entered as 1.23E-9.

We have a plane electromagnetic wave traveling in the +z direction. As you may recall, plane waves have electric and magnetic fields that vary like either sine or cosine, with an argument of (kz−ωt). Our goal here will be to write down the equations describing the electric and magnetic fields in this particular wave, and then use those equations to calculate a few quantities.Let's suppose that at z=0 and t=0, the magnetic field has its maximum value B0 and points in the −y direction. Use that information to decide whether your B -field should vary like sine or like cosine, and write a symbolic vector expression for B . Then write a symbolic vector expression for the E -field that would be in this wave. The definition of the Poynting vector will let you figure the direction of the E -field.   A) The frequency of this wave is f=3.060e+06 Hz. What is the scalar value of the magnetic field at t=1.29e−07 s? You can still assume that z=0, and that B0 = .0056 T .    For m answer I got .0059 T…

A microwave source produces pulses of 16.0-GHz radiation, with each pulse lasting 1.00 ns. A parabolic reflector with a face area of radius 4.50 cm is used to focus the microwaves into a parallel beam of radiation, as shown in figure below. The average power during each pulse is 30.0 KW. (a) What is the wavelength of these microwaves? (b) What is the total energy contained in each pulse? (c) Compute the average energy density inside each pulse. IL (a) Determine the amplitude of the electric field and magnetic field in these microwaves. Emax = kV/m μT Bmax = (e) Assuming that this pulsed beam strikes an absorbing surface, compute the force exerted on the surface during the 1.00-ns duration of each pulse. μν

We have a plane electromagnetic wave traveling in the +z direction. As you may recall, plane waves have electric and magnetic fields that vary like either sine or cosine, with an argument of (kz−ωt). Our goal here will be to write down the equations describing the electric and magnetic fields in this particular wave, and then use those equations to calculate a few quantities.Let's suppose that at z=0 and t=0, the magnetic field has its maximum value B0 and points in the −y direction. Use that information to decide whether your B -field should vary like sine or like cosine, and write a symbolic vector expression for B . Then write a symbolic vector expression for the E -field that would be in this wave. The definition of the Poynting vector will let you figure the direction of the E -field. The frequency of this wave is f=2.090e+06 Hz. What is the scalar value of the magnetic field at t=1.59e−07 s? You can still assume that z=0. What is the B-Field?

A circular loop of wire can be used as a radio antenna. If an 19.8-cm-diameter antenna is located 3.00 km from a 88.9 MHz source with a total power of 60.1 kW, what is the maximum emf induced in the loop? The orientation of the antenna loop and the polarization of the wave are as shown in (Figure 1). Assume that the source radiates uniformly in all directions. Figure In vicinity of loop, wave propagates in +x-direction. In vicinity of loop. E has only a y-component and B has only a 2-component. E B 1 of 1 > Circular loop antenna lies in xy-plane. ▼ Answer Requested Part G Determine the time-dependent induced emf in the loop. Express your answer in terms of the variables BMax, w, k, d, z, and t. ▸ View Available Hint(s) IVE ΑΣΦ E(x, t) = Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Part H Complete previous part(s) EVALUATE Part I Complete previous part(s) ?