Assuming the energy density of the cosmic background radiation of the Big Bang has the value 3.75 ✕ 10−14 J/m3, what is the corresponding electric field amplitude (in mV/m)?
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Assuming the energy density of the cosmic background
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- The electric field strength in the region 0A microscopic spherical dust particle of radius r and mass m is moving in outer space at a constant speed v. A wave of light strikes it from the opposite direction of its motion and gets absorbed. Assuming the particle decelerates uniformly to zero speed in time t, write an equation for the average electric field amplitude in the light.Q: An AM radio signal propagating in free space has: E = Eo sin(1200πt - βz)ax H= (Eo / η)*sin(1200πt- βz)az Express these in phasor form and detrmine β and η such that the fields Satisfy Maxwell’s equations.Problem-1: An asteroid is hurtling toward earth at 150,000“. The temperature of the asteroid is about 100 K, meaning that its peak emission is 2 = 29 µm. The speed of light is c = 3E[8]. a) What is the wavelength of light that we receive from the asteroid? (Answer: 2.89855E[-05] m)2.37. A 300 MHz uniform plane wave, traveling along the x-axis in the negative x-direction, whose electric field is given by E, = E,(jâ, + 3â¸)e*jkx where E, is a real constant, impinges upon a dipole antenna that is placed at the origin and whose electric field radiated toward the x-axis in the positive x-direction is given by E. = E,(â, + 2â,)e¬jke where E, is a real constant. Determine the following: (a) Polarization of the incident wave (including axial ratio and sense of rotation, if any). You must justify (state why?). (b) Polarization of the antenna (including axial ratio and sense of rotation, if any). You must justify (state why?). (c) Polarization loss factor (dimensionless and in dB). Incident Wave AntennaThe spectrum of a star is used to measure its radial velocity with respect to the Sun, the component of the star's velocity vector that is pa rallel to a vector connecting the star's centre to the centre of the Sun. The measurement relies on the Doppler effect, in which rad iation is shiftedin frequency when the source is moving towards or away from the observer. When a star emitting electromagnetic radiation of frequency v moves with a speed s relative to an observer, the observer detects radiation of f requency vreceding, = vf or vapproaching = v/f, where f = {(1 - s/c)/(1 + s/c)}1/2 and c is the speed of light. (a) Three lines in the spectrum ofatomic iron of the star HDE 271 182, which belongs to the Large Magellanic Cloud, occur at 438.882 nm, 441.000 nm, and 442.020 nm. The same lines occur at 438.392 nm, 440.510 nm, and 441.510 nm in the spectrum of an Earthbound ironarc. Determine whether HDE 271 182 is receding from or approaching the Earth and estimate the sta r's radial…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 = (1.27 V/m) ĵ. What is the magnitude and direction of the magnetic field vector of the wave (in nT) at the point P at that instant? Denote the +z direction as positive, and the -z direction as negative. (Use c = 2.9979 × 108 m/s) nT(a) The distance to a star is approximately 4.97 × 10¹8 m. If this star were to burn out today, in how many years would we see it disappear? years (b) How long does it take sunlight to reach Earth? minutes (c) How long does it take for a microwave radar signal to travel from Earth to the Moon and back? (The distance from Earth to the Moon is 3.84 x 105 km.) SWhat is the velocity of a beam of electrons that go undeflected when passing through crossed (perpendicular) electric and magnetic fields of magnitude 1.93×104 V/m and 2.50×10-3T, respectively? me=9.11×10-31kg, e=1.60×10-19 C.A current of (1.124x10^0) A is used to charge a parallel plate capacitor with square plates. The side of each plate is (6.0160x10^1) cm. What is the displacement current through a (4.31x10^-3) m² area wholly between the capacitor plates and parallel to them? Answer with three significant figures in mA.Verify the claim that that ionospheric charge densities of a few tens of ions or electrons per cubic meter create ionospheric electric fields of 1mV/m.In a cathode-ray tube (CRT), an electron travels in a vacuum and enters a region between two "deflection" plates which have equal and opposite charges. The dimensions of each plate are L = 13 cm by d = 5 cm, and the gap between them is h = 2.5 mm. (Note: the diagram is not drawn scale and the direction of the electric field may not be correct, depending on your randomization.) L During a 0.001 s interval while it is between the plates, the change of the momentum of the electron Ap is kg m/s. What is the electric field between the plates? Hint: remember the Momentum Principle (the relationship between Impulse and change in momentum.) Ē = N/C What is the charge (both magnitude and sign) of the upper plate? 9 = CSEE MORE QUESTIONS