An atom of hydrogen is exposed to a monochromatic electromagnetic wave, which, within the dipole approximation, can be represented by the electric field E(t) = Eo y sin wt, where y is a unit vector in the y-direction and Eo is a constant. Give the potential energy of the atomic electron in the electric field. Explain briefly your answer.
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- A linearly polarized electromagnetic wave with an electric field amplitude of 355N/C passes through a linear polarizer that is at an angle of 72.5 degrees with the initial polarization of the wave. What is the intensity of the wave that emerges from the polarizer? Show the algebraic form of the equation(s) that you apply. Report your answer with the correct number of significant figures and units.Acceleration in a cyclotron. Suppose in a cyclotron that B = 2B and E₂ = E cos w t E = - E sin w t E = 0 with E constant. (In an actual cyclotron the electric field is not uniform in space.) We see that the electric field intensity vector sweeps around a circle with angular frequency w.. Show that the displacement of a particle is described by x(t) = y(t) = qE Mw 2 qE Mw2 (wet sin wet + cos wet- 1) (wet cos wet sin wet) where at t = 0) the particle is at rest at the origin. Sketch the first few cycles of the displacement.At one instant, the electric and magnetic fields at one point of an electromagnetic wave are E = (230i +350 - 60k) V/m and B = (7.11 7.5j + ak)Bo. Sy = 190 Submit Part E m² Previous Answers Correct Find the z-component of the Poynting vector. Express your answer to two significant figures and include the appropriate units. ► View Available Hint(s) Submit μA S₂ = -230 W m² Previous Answers Request Answer ? X Incorrect; Try Again; 4 attempts remaining
- A sinusoidal electromagnetic wave is propagating in a vacuum in the +z-direction. Part A If at a particular instant and at a certain point in space the electric field is in the +x-direction and has a magnitude of 4.70 V/m, what is the magnitude of the magnetic field of the wave at this same point in space and instant in time? Express your answer in teslas. B = Π| ΑΣΦ ? TRF 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.Explain the answer to the second and last equation in detail
- 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 pleaseA number N of plane waves are travelling parallel; the waves share a common wavevector k and common direction of electric field vector along unit vector û, but each wave has its own distinct amplitude Eo and phase difference &;. Therefore the ith wave (for 1 ≤ i ≤ N) has electric field given by E₁ = Eoiû Re [exp j(k-r - wt+d;)]. From this, prove that the total intensity Inet including interference is given by Ec|² 27⁰ where the complex amplitude E, is defined by Inet and 70 is the impedance of free space. N Ec = Eoi exp(joi), 7 i=1The intensity of electromagnetic radiation from the sun reaching the earth's upper atmosphere is 1.37 kW/m². Part A Assuming an average wavelength of 680 nm for this radiation, find the number of photons per second that strike a 1.90 m² solar panel directly facing the sun on an orbiting satellite. E