c. Calculate for the Poynting vector and the intensity. d. Solve for the instantaneous and time-averaged momentum density.
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- 4. An elliptically-polarized plane wave propagating along the z-axis scatters from an electron. The E-field of the wave is given by Ē = Eo [cos 0 cos(kz - wt) + sin 0 sin(kz - wt)ŷ], where 0 ≤ 0 ≤ π/2. a. Neglect the magnetic force-ev× B. Characterize the radiation scattered by the electron by determining the frequency and the polarization along the x-, y, and z-axis. Find a direction along which the radiation is circularly polarized. b. Calculate the total scattered power, averaged over a cycle, and discuss its dependence on 0. c. Calculate the B-field and evaluate the ev× B term. Discuss the direction and frequency of the magnetic force and its dependence on 0. d. Discuss how the scattering of the incident wave is modified by the magnetic force by specifying which new frequencies are observed, in which direction and with which polarization, and the modification of the scattered power.A parallel‑plate capacitor has closely spaced plates. Charge is flowing onto the positive plate and off of the negative plate at the rate of i=delta q/ delta t =2.5 A. What is the displacement current i(d) through the capacitor between the plates? i(d) = ?AAn electric field in a vacuum is determined to be polarized in the +y-direction. It has a peak of 250 μV/m at z = 0, and the next peak is at z = 5 cm. Determine phase velocity, propagation constant, wavelength, period, frequency, and radial frequency for this wave and write a complete function for e(z,t). Complete Solution please
- 5. Calculate the Poynting Vector inside an ideal coaxial cable. Show that the energy current in V² the cable (integral of the energy current density over a cross section) equals "Ideal" means Z that conductors have no resistance and dielectric has no conductance.High–power lasers in factories are used to cut through cloth and metal (see figure below). One such laser has a beam diameter of 2.00 mm and generates an electric field having an amplitude of 0.350 MV/m at the target. a) Find the amplitude of the magnetic field produced. b) Find the intensity of the laser. c) Find the power delivered by the laser.What is correct about an electromagnetic wave in vacuum (or free space)? Group of answer choices The amplitude of the electric and magnetic fields are the same. The net energy in the electric and magnetic fields are the same. The energy densities in the electric and magnetic fields are the same. When in the vacuum, electromagnetic waves of higher frequencies travel faster than their lower frequency counterpart.
- A plane electromagnetic wave is traveling in a vacuum. The magnetic field is directed along the z-axis and given by: B, = 3.0µT sin ((1.0 × 107 )x - (3.0 × 1015 )t ) a) Determine the wavelength , of the wave. b) What is the frequency, f, of the wave in Hertz? c) Determine the maximum strength of the B-field. d) Determine the maximum strength of the E-field and it direction. e) Can you find a time and place when the B-field is zero? f) What is the strength of the E-field when the B-filed is zero?g . Explain what the polarization of electromagnetic waves is. State two examples for a possiblepolarization of a wave as well as an example for its application.An ideal polarizing sheet transmits 90% of the incident partially polarized light. What percentage of the transmitted light is polarized? O a. 100% O b. Between 80% and 100% O c. between 0% and 10% O d. Between 80% and 90% O e. Between 0% and 20%