Calculate the polarization loss factor (PLF)...in db and dimensionless of an antenna whose electric field polarization is expressed as: E = (ax+ ay)E(r,0,0), when the electric field of the incident wave given by E, = ax E, (x, y) =
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- The helium-neon laser usually used in classrooms typically provides an intensity of about 14 What are the rms electric and magnetic fields 1m/wm for such a beam? Hint: Poynting vector We know that electric and magnetic fields store energy, and so as EM wave propagates, it carries energy. The rate of energy flow, in watts per square meter, can be shown to be: S = ¹ EX B Ho S is the Poynting vector. It points in the direction the energy is propagating. In a plane wave, EL B,and E=cB, so |S= Wmm². = EB= 1 CHO -E²=__B² но Но 1 = 1/² &₁₂ E²³C с Is /IM√x (mm) 2RF Electromagnetics: . If an x-component of the E-field varies as a sine function, and y-field component varies as a cosine function; assuming that the Ex=0.7Ey, what is the polarization of the resultant wave whichpropagates in the positive z-direction. For frequency f, write the full expression for the electricfield of a plane wave propagating in vacuum.(a) An industrial laser can burn a hole through a piece of metal. If the time-averaged intensity of the light is Savg, then what is the RMS value of the electric field? (b) And what is the RMS value of the magnetic field? Savg = 2.25×10⁹ W/m^2; (a) (a)
- An AM radio transmitter broadcasts 45 kW of power uniformly in all directions.Randomized VariablesP = 45 kWd = 29 km Part (a) Assuming all of the radio waves that strike the ground are completely absorbed, and that there is no absorption by the atmosphere or other objects, what is the intensity 29 km away? Part (b) What is the maximum electric field strength at this distance, in N/C?An 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 pleasePROBLEM 4: A transmitter is transmitting radio signal of 50 MHz with 100 kW output power. Find the field strength due to space wave at a distance of 100 km when the heights of transmitting and receiving antennas are 100 m and 36 m respectively. Assume that the field strength from the transmitting antenna is same as that of half wave antenna.
- = The electric fields of two harmonic waves of angular frequency w, and we are given by E₁ E₁,0cos (k₁y + w₁t)i and E2 = E2,0cos (k₁y-w₂t)î. Find (a) the instantaneous Poynting vector for the resultant wave motion and (b) the time-average Poynting vector. If the direction of propagation of the second wave is reversed, find (c) the instantaneous Poynting vector for the resultant wave motion and (d) the time -average Poynting vector.A quarter-wave monopole radio antenna (also called a Marconi antenna) consists of a long conductor of one quarter the length of the transmitted wavelength. The lower end of the antenna is connected to a conducting ground plane (often simply the Earth) which reflects the transmitted signal, creating an effective antenna length of a half wavelength. (a) What must be the height of the antenna (in m) for a radio station broadcasting at 569 kHz? (b) What must be the height of the antenna (in m) for radio stations broadcasting at 1,750 kHz?