For the nonsinusoidal wave, suppose that E = 100 V/m = 100 N/C. Find the value of B, the energy density u, and the rate of energy flow per unit area S
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For the nonsinusoidal wave, suppose that E = 100 V/m = 100 N/C. Find the value of B, the energy density u, and the rate of energy flow per unit area S
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- An E&M wave has an e-field given by E(x, t) = -(4.950V/m)k cos(ky + (1.38 × 1013 rad/ s)e). %3D Which of the following is correct for B(x,t) and the direction of propagation? (c = 3x10$ m/s) B(x, t) = -(0.165 µA)î cos (4.6 x 106 rad/m)y +(1.38 x× 1013 rad/s)t),y I. т B(x, t) = (33.0 nT)j cos ((2.3 × 10ª rad/m)y + (2.78 × 1013 rad/3)t),–x I. B(x, t) = (16.5 nT)î cos ((4.6 x 10* rad/m)y + (1.38 × 1013 rad/s)t),-y II. IV. B(x, t) = (11.5 µT)î cos ((4.6 × 10² rad 4.6 × 10² rad/m)y + (1.38 × 1013 rad/s)t),-y. II II O IV None of the aboveSuppose the maximum safe average intensity of microwaves for human exposure is taken to be 1.00 W/m2. If a radar unit leaks 10.0 W of microwaves (other than those sent by its antenna) uniformly in all directions, how far away, ?min, must you be to be exposed to an average intensity considered to be safe? Assume that the power spreads uniformly over the area of a sphere with no complications from absorption or reflection. ?min= m What is the maximum electric field strength ?0 at this distance? The permittivity of free space is ?0=8.854×10−12 C2/(N·m2). The speed of light is ?=3.00×108 m/s. ?0= V/m Note: Early radar units leaked more than modern ones do. This caused identifiable health problems, such as cataracts, for people who worked near them.Assume the mostly infrared radiation from a heat lamp acts like a continuous wave with wavelength 1.50 µm. (a) If the lamp's 205 W output is focused on a person's shoulder, over a circular area 24.0 cm in diameter, what is the intensity in W/m2? 2266.9 W/m2 (b) What is the peak electric field strength in kV/m? 0.924 X kV/m (c) Find the peak magnetic field strength in µT. 3.08 X µT (d) How long will it take in seconds to increase the temperature of the 3.80 kg shoulder by 2.00°C, assuming no other heat transfer and given specific heat is 3.47 x 103 J/(k • °C)? 128.64
- Starting from Maxwell's equations V × V × A = V(V· A) – V²A | in a vacuum, use the identity and show that the electric and magnetic fields satisfy both the equation of a wave and obtain the speed of that wave in the MKS system.An interface is formed between a block of aluminium (with an acoustic impedance of 1.8 x 107 kg m2 s') and a block of copper (with an acoustic impedance of 4.6 x 107 kg m-2 s-1). Longitudinal sound waves travelling through the aluminium are normally incident on the boundary, and are partially reflected. a) What is the ratio of the amplitude of the reflected wave to that of the incident wave? Number b) What is the ratio of the amplitude of the transmitted wave to that of the incident wave? Number c) What percentage of the incident power is transmitted? Number d) What percentage of the incident power is reflected? Number % Ouit P Sove QuestiPlease help with this Qs
- Please help with A, B, and CShow by direct substitution that the exponential Gaussian function defined by ?(x,t) = ae-(bx-ct)^2 satisfies the wave equation: (?2?(?,?))/(?x2) = (1/v2) * (?2?(x,t))/(?t2) if the wave is given by the v = (c/b) and a, b, and c are constants.A wave traveling in the +y-direction in a medium where μr = 1, σ = 6.17 X 107 S/m, and with ω = 10X106. The maximum amplitude of the E-wave is 50 mV. Write the instantaneous equations for the electric field (polarized in the x-direction) and magnetic field intensities. Complete solution please