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- Radio station WWVB, operated by the National Institute of Standards and Technology (NIST) from Fort Collins, Colorado, at a low frequency of 60 kHz, broadcasts a time synchronization signal whose range covers the entire continental US. The timing of the synchronization signal is controlled by a set of atomic clocks to an accuracy of 101012 s, and repeats every 1 minute. The signal is used for devices, such as radio-controlled watches, that automatically synchronize with it at preset local times. WWVB's long wavelength signal tends to propagate close to the ground. (a) Calculate the wavelength of the radio waves from WWVB. (b) Estimate the error that the travel time of the signal causes in synchronizing a radio controlled watch in Norfolk, Virginia, which is 1570 mi (2527 km) from Fort Collins, Colorado.A 2.0-mW helium-neon laser transmits a continuous beam of red light of cross-sectional area 0.25 cm2. If the beam does not diverge appreciably, how would its rms electric field vary with distance from the laser? Explain.1. The CT signal x(t)=6cos (800rt) + 8cos? (mat) is critically sampled (Nyquist rate) by f-8000 Hz. Find: i. The value of m.
- H.W 4: Find the coefficient of Fourier series of the following voltage waveform. Dr. Zeyr fit) E -37/2 -T -T/2 T/2 3T/2 Page 5A television content producer in Accra wants to store music digitally on a CD How would he do it mathematically, if the sampling frequency, Fs is 5000 sample per second and the analog signal is X₂(t) = 3Cos2000nt + 5Sin6000nt + 10Cos12000nt Also explain mathematically how he can determine the continuous time signal, y, (t) after the reconstruction. Is the signal at y, (t) equal to the signal at * (t)? Explain.1. A plane wave in air is incident normally upon the surface of a lossless, nonmagnetic dielectric medium with relative electrical permittivity of 25 at z=0. Incident E field has an amplitude of 10 V/m polarized in +x direction and is of frequency 1 Ghz. Give the total E-field Phasor expression in air. 2. For the problem (1), determine the average power density of the reflected wave, and that of the transmitted wave. 3. Define and explain standing wave ratio. (Give a verbal description and the associated expressions) 4. For the problem (1), sketch the E-field wave pattern (Amplitude versus distance from the boundary) in air medium, indicating all critical vales and compute the standing wave ratio in the medium.
- 11) A 0.5 mW He-Ne laser beam with wavelength = 632.8 nm is initially traveling in a vacuum system and is incident on a smooth diamond surface with index of refraction, n = 2.42 for diamond. The laser beam diameter is 1.0 mm. What is the frequency of the He-Ne laser beam while in vacuum? Explain or Show Work Here:4) By using the Fourier transform methed or Fourier Series solve the DDES with t 324. Suitable Ies and B. CS..When a high-power laser is used in the Earth's atmosphere the electric field associated with the laser beam can ionize the air, turning it into a conducting Plasma that reflects the laser light. In dry air at 0°C and 1 atm, electric breakdown occurs for fields with amplitudes above about 3:00 Mv/m a) At this maximum Intensity, what Power can be delivered in a cylindrical beam diameter 4 3.03mm? Note Answer must be in W.
- 1In a simple lossless medium with µ, = 3, &, = 27, the phasor electric and magnetic induction density fields of a monochromatic wave are given as D= î,20es nC/m2] and B= -â‚̟µH̟e* [T]. If the wavelength 2 = 1/3 [m]. which of the following statements is correct? Seçtiğiniz cevabin işaretlendiğini görene kadar bekleyiniz. Soruyu boş bırakmak isterseniz işaretlediğiniz seçeneğe tekrar tıklayınız. The amplitude of the magnetic field is H, = 2/3[A/m]. A. %3D The frequency of the wave is f 300 [MHz]. The impedance of the medium is Z = 60z [2]. %3D The wave propagation is in +x, - direction. DWhat is the purpose of a transducer in an absorption spectrophotometer? А To filter out the desired wavelength of light To provide a source of radiation To convert light energy into electrical energy To serve as a container for the sample
