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Can we apply Huygens Principle to radar waves? How?
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- Radio telescopes are telescopes used for the detection of radio emission from space. Because radio waves have much longer wavelengths than visible light, the diameter of a radio telescope must be very large to provide good resolution. For example, the radio telescope in Penticton, BC in Canada, has a diameter of 26 m and can be operated at frequencies as high as 6.6 GHz. (a) What is the wavelength corresponding to this frequency? (b) What is the angular separation of two radio sources that can be resolved by this telescope? (c) Compare the telescope’s resolution with the angular size of the moon.Visible light. The range of visible light extends from 400 nm to 700 nm. What is the range of visible frequencies of light? Give a maximum and minimum answer.Why is there no transmitted ray beyond a definite angle? Describe the behavior of the ray at this angle.
- If you have an EM wave traveling in the +y-direction and the maximum Magnetic field is B=3.0x10-12 T î. What direction is the Electric field traveling? 2. What is the magnitude of the electric field at the maximum point? 3. What is the Poynting vector for the maximum points of this EM wave? 4. The intensity is the average value of the function of the poynting vector. If you multiply each magnitude (E and B) by a sine function, you’ll get sin2(wt) that multiplies E and B for some w. Find the average value of the trigonometric function, and use it to find the intensity of the electromagnetic wave. can you please answer part 4 and explain what formula you used to solve it2. With the help of Maxwell’s equations, explain the process of wave generation. What is Poynting vector? Explain each part of mathematical equation of the Poynting theorem for EM waves. .Q1. The continuity equation that expresses conservation of charge is др - = -V•J ди -V.S dt where J describes the flow of charge, Compare it with the equation %3D which is the differential version of Poynting's theorem. The Poynting vector S represents (a) the energy density (c) the energy flux density (d) radiation pressure (b) the energy flow
- 1. It takes 3.8 x 10 -5 s for a pulse of radio waves from radar to reach a plane bounce back to the radar. How far is the plane from the radar? Your answer must be a whole number, have no spaces and commas, and have a unit. Sample Answer: 4500m 2. The X-ray used by your dentist has a wavelength of 15 nm. What is its energy? Your answer must have 2 decimal places, have no spaces, and have a unit. Sample Answer: 1.23x10e-35J 3. The X-ray used by your dentist has a wavelength of 15 nm. What is the frequency? Your answer must not contain spaces. Sample Answer : 1x10e12sAnswer the following two bonus questions. a. The electric field in the EM wave is given by the following equation: E = 450sin(0.40z – 6.0 x 10°t)î, where E is N/C, z in meters and t in seconds. Determine the curl of the electric field (V X E). b. Use the divergence theorem to convert the Gauss' law from the integral form to the differential form.What is Poynting vector? How is it related to electromagnetic energy?.
- The electric field of a polarized light emerged from a polarizer can be expressed as E= Bei(kz-wt)} # – Bei(kz-wt)? Where B is the amplitude of the electric field. (a). Give the propagation direction. (b). Give the plane of oscillation. (c). Show that polarization state of the electric filed is indeed linear. (You may include proof such as polarization angle, phase difference, etc. to support your claims.) (d). The above electric field has passes through a quarter-wave plate (QWP). The fast axis (FA) of the QWP was located at the principal vertical axis, while the slow axis (SA) located along the principal horizontal axis. Determine the polarization state of the light that emerged from the QWP. (e). Given another identical QWP, choose the suitable orientation of the fast and slow axes so that the state of the electric field can be returned to E = Be'lz-u – Be-. (You need to provide explanation for your i(kz-wt)? i(kz-wt)? choice.)Look at the door of a microwave oven. Describe the structure of the door. Why is there a metal grid on the door? How does the size of the holes in the grid compare with the wavelengths of microwaves used in microwave ovens? What is this wavelength?Describe the concept of polarisation for an electromagnetic plane wave. How many types of polarisation states can exist? Make use of appropriate diagrams as necessary.