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Fundamentals of Electromagnetics with Engineering Applications
- Plane y = 0 carries a uniform current of 30a, mA/m. At (1, 10, -2), the magnetic field intensity is (a) -15a, mA/m (d) 18.85a, nA/m (b) 15a, mA/m (e) None of the above (c) 477.5a, µA/marrow_forwarda) An electromagnetic wave propagating in free space with its electric field vector described by E = 30 sin(2n × 10°t – Bx) â̟V/m i. Determine the direction of wave propagation. Compute the period T and the wavelength, . Compute the phase constant Band the time it takes to travel a distance of 1/2. Determine the intrinsic impedance, n. Determine the magnetic field vector, H. 1i. ii. iv. V.arrow_forwardThe magnetic field of a wave propagating through a certain nonmagnetic material in the positive y direction has an amplitude of 30 mA/m and a frequency of 10 Hz . If the wave is polarized on the positive z direction and its wavelength is 12.6 meter, find the relative permittivity of the material. Assume the initial phase is 0. Select one: O a. 2.25 Ob. 1.5 Oc 12 d. 2.9 e. 1 f.0 magnetic field of a wve ga5a0d ena.ces n nonmadneti.cmaterian the DOsitive y directionarrow_forward
- Electromagnetics Given the field D = 3zp cos(phi) az. Determine DivD at P( p= 2.2, (phi)= 1.7 rad, z = 4) 4 decimals placesarrow_forward(b) For a rectangular box of dimension 2m x 3m x 4m determine the expression for net power flux as well as net time average power entering the box due to a plane wave in air given by E = â10cps(2.47 x 1010t-52.9ry) V/m. %3Darrow_forwardA plane electromagnetic wave varies sinusoidally at 90.0 MHz as it travels throughvacuum along the positive x direction. The peak value of the electric field is 2.00 mV/m,and it is directed along the positive y direction.(i) Find the wavelength and period of the wave.(ii) Determine the maximum value of the magnetic field.(iii) Write expressions for the space and time variations of the electric field andmagnetic field vectors.(iv) Find the average power per unit area this wave carries through space.(v) Find the average energy density in the radiation.arrow_forward
- The magnetic field of a wave propagating through a certain nonmagnetic material in the positive y direction 10 has an amplitude of 30 mA/m and a frequency of Hz . If the wave is polarized on the positive z direction and its wavelength is 12.6 meter, find the equation of the instantaneous Electric field. Assume the initial phase is 0. Select one: O a. E(y, t) = -2.4nicos(10°t – ,) V/m 12.6 O b. E(y, t) = 2400zcos(2710°t – 12.6y) V/m O c.E(y, t) = 2.4nicos(10°t – y) V/m 12.6 O d. E(z, t) = 2.4ýcos(10°t 12.6) mv/m 12.6 e. E(y, t) = 1.6zcos(t-2.10ry) v/m 2m Of E(y,t) - 30žcos(10°t y) mv/m 12.6arrow_forwardThe magnetic field of a wave propagating through a certain nonmagnetic material in the positive y direction has an amplitude of 30 mA/m and a frequency of 0 Hz . If the wave is polarized on the positive z direction and its wavelength is 12.6 meter, find the relative permittivity of the material. Assume the initial phase is 0. Select one: O a. 2.25 O b. 1.5 O C. 1.2 O d. 2.9 O e. 1 O f. 0arrow_forwardThe following equation describes a wave propagating in lossless medium: y(x, t) = 5.ex0.005 cos(20 * 10°t + 20x + 30°) %3D Select one: O a. False. Because the equation contains a = 0.005. O b. False. Because the equation a phase shift 30°. O c. True. Because a is negative -0.005 O d. True. Because the wave is not polarized.arrow_forward
- QUESTION 1 P.1: A magnetic field H, = 20â,cos (@t – 3y) is incident normally from air onto a nonmagnetic dielectric medium having &-2.5. Find the following: a) The frequency. b) The wavelength in air and in the dielectric. c) The incident electric field. d) the reflection and transmission coefficients. e) The transmitted electric field in the time domain. f) The transmitted power spectral density in the dielectric.arrow_forwardThe magnetic field of a wave propagating through a certain nonmagnetic material in the positive y direction has an amplitude of 30 mA/m and a frequency of 1082π1082πHz . If the wave is polarized on the positive z direction and its wavelength is 12.6 meter, find the equation of the instantaneous Electric field. Assume the initial phase is 0.arrow_forwardE = ay e0.2(x-0.75y)cos(10 nt + 47 x – 3ny) + az 3 cos(10 nt + 47 x – 3ny – n/2) v/m. For this electric field: a) Determine and sketch the direction of propagation b) Determine the type of media where this wave propagates c) Determine the polarization of this wave d) Calculate the wavelengtharrow_forward
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