Numerade

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A plane wave propagating in air is normally incident on a lossy non-magnetic dielectric material with $\gamma$ = 0.5 + j3.0 (1/m). The dielectric material occupies the half-space y ≥ 0. The magnetic field of the incident wave is given by $\vec{H} = -0.1 \hat{a_x} \sin(2\pi \times 10^8 t - 2y)$ (A/m) a) Write the phasor expression of the reflected electric field. b) Write the instantaneous expression of the transmitted electric field. c) Calculate the incident, reflected and transmitted power densities. A radome protecting a microwave transmitter has $\epsilon_r$=4 and is designed as a half-wavelength reflectionless slab at the operating frequency of 10 GHz. a) Find the smallest radome thickness. b) Because of manufacturing imperfections, suppose that the actual constructed thickness of the above radome is 5% off the desired half-wavelength thickness. Determine the percentage of reflected power in this case. A plane wave propagating in a lossless non-magnetic dielectric material with $\epsilon_{r1}$ = 2.25 is incident upon the planar surface of another lossless non-magnetic dielectric material with $\epsilon_{r2}$= 4 occupying the half-space x ≥ 0. The electric field of the incident wave is given by $\vec{E} = 20 \hat{a_y} e^{-j(3x+4z)}$ (V/m) a) Produce a sketch of the problem. b) What is the polarization of the wave (TE/TM)? c) Find the angle of incidence. d) Find the frequency of the wave. e) Write the phasor expression of the reflected electric field. f) Write the instantaneous expression of the transmitted magnetic field. A submarine at a depth z = 50 m below the sea surface uses a wire antenna to receive signals at frequency f = 1 kHz. Seawater has $\epsilon_r$ = 80, $\mu_r$ = 1 and $\sigma$ = 1.1 S/m at this frequency. Calculate the time-average power density that reaches the submarine if the magnetic field of the plane wave just inside the sea surface (z= 0) is $\vec{H} = (100 \hat{a_y})$ (mA/m)

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Which r-value (s) indicate a weak correlation between 2 data sets? Select all that apply. [5.6] A -1 B 0.8 C 0.1 D -0.3 E all of these

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The basic laws in supply and demand suggest that in general, the larger the pool of capital providers which is the rate of return that a firm needs to pay to capital providers. Question 7Select one: a. the lower the cost of capital. b. the higher the rate of return. c. the more likely a firm will default on loan obligations. d. the higher the ROI for investors.

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What is the role of ethidium bromide in your DNA gel? denaturation of DNA detergent to capture contaminants fluorescent tag of DNA ligating reagen

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Which of the following describes independent assortment during meiosis? Question 9 options: The production of offspring with combinations of traits that differ from those found in either parent When two or more characteristics are inherited, individual hereditary factors assort independently during gamete production, giving different traits an equal opportunity of occurring together Multiple genes independently affect a single trait During the production of gametes the two copies of each hereditary factor segregate so that offspring acquire one factor from each parent

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Complete the following amortization chart. (Round your answers to the nearest cent.) Selling price of home Down payment Principal (loan) Rate of interest Years Monthly mortgage payment $ 181,000 $ 50,000 7.00% 35

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What you see as a social problem may be seen by others as an individual problem. This is the effect of ideology as a perceptual filter.

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rect! t Answer How many grams are needed to prepare 899.1 mL of a 0.671 M KNO3 solution? 60.9 61 margin of error +/-0.1

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Question 2 (20 points): A beam is carrying a moment $M$ as indicated. The cross section of the beam is symmetric about the $z$ axis. The dimensions of the cross section and the location of the centroid (point C) are shown. Knowing that $I_y = 280,000\ mm^4$, $I_z = 150,000$ $mm^4$, and $M = 400062\ N.mm$, where UV are the last two digits of your student number. (a) Calculate the components of the bending moment on the $y$ and $z$ axes, $M_y$ and $M_z$. (b) Identify which point at the cross section has the largest tensile stress, and which point at the cross section has the largest compressive stress. (c) Calculate the maximum tensile stress and the maximum compressive stress in the cross section.

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Question What is the value of $\int_k^3 f(x) dx$ given that $\int_3^{13} f(x) dx = -3$ and $\int_{13}^k f(x) dx = 4?$

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