A sinusoidal plane electromagnetic wave of frequency 20 GHz moves in the positive y direction and its electric field is directed along the z-axis. The amplitude of the electric field is 10 V/m. The start of time is chosen so that at t = 0, the electric field has a value +(10 V/m)k at the origin. a. Write the function that describes the electric field of the wave as a function of position y and time t. Hint: Among other things, you need to decide whether to use a cosine or sine function, and whether a negative sign is needed inside and/or outside the sine/cosine function. b. Explain why the electric field is not a function of the x or z coordinate. c. Find the function that describes magnetic field of the wave as a function of position y and time t.

(a) What is the frequency of the 193-nm ultraviolet radiation used in laser eye surgery? (b) Assuming the accuracy with which this electromagnetic radiation can ablate (reshape) the cornea is directly proportional to wavelength, how much more accurate can this UV radiation be than the shortest visible wavelength of light?

At the top of Earth’s atmosphere, the time-averaged Porting vector associated with sunlight has a magnitude of about 1.4W/m2 . (a) What are the maximum values of the electric and magnetic fields for a wave of this intensity? (b) What is the total power radiated by the sun? Assume that the Earth is 1.51011m from the Sun and that sunlight is composed of electromagnetic plane waves.

(a) If the electric field and magnetic field in a sinusoidal plane wave were interchanged, in Which direction relative to before would the energy propagate? (b) What if the electric and the magnetic fields re both changed to their negatives?

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 wave

A parabolic reflector focuses electromagnetic waves into a beam as shown in the figure. The electromagnetic radiation is pulsed, with a pulse frequency of 19.0 GHz, and the duration of each pulse is  t = 1.00 ns.  The face of the reflector has a radius of 3.00 cm, and the average power during each pulse is 29.0 kW. (Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.) (a) What is the wavelength (in cm) of these electromagnetic waves? (b) What is the total energy (in µJ) contained in each pulse? (c)Compute the average energy density (in mJ/m3) inside each pulse. (d)Determine the amplitude of the electric field (in kV/m) and magnetic field (in µT) in these electromagnetic waves. (e) Assuming that this pulsed beam strikes an absorbing surface, compute the force (in µN) exerted on the surface during the 1.00 ns duration of each pulse.

A plane electromagnetic wave, with wavelength 3.4 m, travels in vacuum in the positive direction of an x axis. The electric field, of amplitude 250 V/m, oscillates parallel to the y axis. What are the (a) frequency, (b) angular frequency, and (c) angular wave number of the wave? (d) What is the amplitude of the magnetic field component? (e) Parallel to which axis does the magnetic field oscillate? (f) What is the time-averaged rate of energy flow associated with this wave? The wave uniformly illuminates a surface of area 2.0 m2. If the surface totally absorbs the wave, what are (g) the rate at which momentum is transferred to the surface and (h) the radiation pressure?

A plane electromagnetic wave, with wavelength 3.0 m, travels in vacuum in the positive direction of an x axis.The electric field, of amplitude 300 V/m, oscillates parallel to the y axis.What are the (a) frequency, (b) angular frequency, and (c) angular wave number of the wave? (d) What is the amplitude of the magnetic field component? (e) Parallel to which axis does the magnetic field oscillate? (f) What is the time-averaged rate of energy flow in watts per square meter associated with this wave? The wave uniformly illuminates a surface of area 2.0 m2. If the surface totally absorbs the wave, what are (g) the rate at which momentum is transferred to the surface and (h) the radiation pressure on the surface?

A plane electromagnetic wave, with wavelength 5 m, travels in vacuum in the positive direction of an x-axis. The electric field, of amplitude 450 V/m, oscillates parallel to the y-axis. What are the (a) frequency, (b) angular frequency, and (c) angular wave number of the wave? (d) What is the amplitude of the magnetic field component? (e) Parallel to which axis does the magnetic field oscillate?

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…