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Quiz 5 Let E,-100 exp(プ40 z) ay V/m in a charge free region for which σ-0 and the frequency is 1...
9.251 In a region where μ,-E,-1 and σ 0, the retarded potentials are given are given r(z-ct)Vande...
9.251 In a region where μ,-E,-1 and σ 0, the retarded potentials are given are given r(z-ct)VandeAsTando-)a, byr (a) Show that V . A -μέ--. (b) Find B. H. E. and D. (c) Show that these results satisfy Maxwell's equations if J and ρν are zero. 0t
9.251 In a region where μ,-E,-1 and σ 0, the retarded potentials are given are given r(z-ct)VandeAsTando-)a, byr (a) Show that V . A -μέ--. (b) Find B. H. E. and D. (c)...
Question No 1: (40) A y-polarized uniform plane wave (E,,H) with 100 MHz frequency propagates in...
Question No 1: (40) A y-polarized uniform plane wave (E,,H) with 100 MHz frequency propagates in air and impinges normally on a perfectly conducting plane at x = 0. Assuming the amplitude of E, to be 6 mV/m, write the phasor and instantaneous expressions for: (a) E, and H of the incident wave (b) E, and H, of the reflected wave (c) E, and H, of the total wave in air (d) Determine the location, nearest to the conducting plane,...
(wt — 3:) фЛ/m 3. (5 points) In a source-free vacuum region: H COS (a) Express H in phasor form (b) Find the associated...
(wt — 3:) фЛ/m 3. (5 points) In a source-free vacuum region: H COS (a) Express H in phasor form (b) Find the associated E field in the complex time varying form and the phasor form (c) Determine w. (d) Calculate the time averaged Poynting vector. This is a real valued quantity.
(wt — 3:) фЛ/m 3. (5 points) In a source-free vacuum region: H COS (a) Express H in phasor form (b) Find the associated E field in the...
8-16 Two nonmagnetic dielectrics( μ: 1 ) have the same dielectric constant( ε.-2.25 ), but different conductivities( σ-O and G-50 [S/m). If a wave of a frequency 100 MHz) propagates in each diele...
8-16 Two nonmagnetic dielectrics( μ: 1 ) have the same dielectric constant( ε.-2.25 ), but different conductivities( σ-O and G-50 [S/m). If a wave of a frequency 100 MHz) propagates in each dielectric, compare the values of (a) β, (b) λ, and (c) up of the two waves. An electromagnetic plane wave propagating in a nonmagnetic dielectric has the instantaneous electric and magnetic field intensities given as 8-17 (z.t)- a,967.le" cos(1.5x10°t-Bz) and 'W(z, t) = ay 10e-az cos(1.5x10°t-Bz-0.7194) Determine (a)...
5-At a frequency f = 100 MHz, verify that copper(σ=5.8×107 m,er-1)is a good conductor, and quartz...
5-At a frequency f = 100 MHz, verify that copper(σ=5.8×107 m,er-1)is a good conductor, and quartz (20 Marks) (σ= 10-17示,Er = 4) ¡s a good dielectric.
Let a uniform surface charge density of 5 nC/m2 be present at the z = 0...
Let a uniform surface charge density of 5 nC/m2 be present at the z = 0 plane, a uniform line charge density of 8 nC/m be located at x = 0, z = 4, and a point charge of 2pC be present at P(2, 0, 0). If V 0 at M(O, 0, 5), find Vat N(1, 2, 3)
Q2(a) A uniform plane wave propagating in a z in free space ( 0)is normally incident...
Q2(a) A uniform plane wave propagating in a z in free space ( 0)is normally incident at z-0 on a conductor (z>0) for which ?-61.7 MS/m, r 1 The free-space E wave has a frequency s-1.SMHz and an amplitude of 1.0 V/m; at the interface it is given by Develop He,t fo0 (10 marks) (b) In free space, Generate the: Phase constant p (2 marks) (ii) Wavelength (2 marks) (ii) Phase velocity v, (2 marks) (iv) Intrinsic impedance of the...
4. Given that E = Em sin(wt - kz) ay, V/m. In free space, Find D,...
4. Given that E = Em sin(wt - kz) ay, V/m. In free space, Find D, B and H.
4. A uniform plane wave (E, H) with a frequency of 3 GHz travels in the +z direction in a lossles...
4. A uniform plane wave (E, H) with a frequency of 3 GHz travels in the +z direction in a lossless medium with ε,,-4 and μ,,-1. The electric field is polarized in the x-direction. The wave impinges normally on another lossless mediumn in region 2, z >0, where ε,2-9 and μ: 1 . The amplitude of the incident electric field is 100 V/m. Write phasor and instantaneous expressions for: (İ) E, and ill of the total wave in medium 1....
Question 1 (compulsory): The following set of charges is given in free space Charge σ,--40 nC/m Number and type of charge #1 , charged spherical shell of radius Ri-10 cm carrying uniform surface char...
Question 1 (compulsory): The following set of charges is given in free space Charge σ,--40 nC/m Number and type of charge #1 , charged spherical shell of radius Ri-10 cm carrying uniform surface charge density σ #2, charged spherical shell of radius R2-5 cm carrying uniform surface charge density Ơ Location (0, 0, 0) m (position of the centre of the sphere) (0, 0, 0) m (position of the centre of the sphere σ,-160 nC/m2 The positions of the spheres'...
9.251 In a region where μ,-E,-1 and σ 0, the retarded potentials are given are given r(z-ct)VandeAsTando-)a, byr (a) Show that V . A -μέ--. (b) Find B. H. E. and D. (c) Show that these results satisfy Maxwell's equations if J and ρν are zero. 0t
9.251 In a region where μ,-E,-1 and σ 0, the retarded potentials are given are given r(z-ct)VandeAsTando-)a, byr (a) Show that V . A -μέ--. (b) Find B. H. E. and D. (c)...
Question No 1: (40) A y-polarized uniform plane wave (E,,H) with 100 MHz frequency propagates in air and impinges normally on a perfectly conducting plane at x = 0. Assuming the amplitude of E, to be 6 mV/m, write the phasor and instantaneous expressions for: (a) E, and H of the incident wave (b) E, and H, of the reflected wave (c) E, and H, of the total wave in air (d) Determine the location, nearest to the conducting plane,...
(wt — 3:) фЛ/m 3. (5 points) In a source-free vacuum region: H COS (a) Express H in phasor form (b) Find the associated E field in the complex time varying form and the phasor form (c) Determine w. (d) Calculate the time averaged Poynting vector. This is a real valued quantity.
(wt — 3:) фЛ/m 3. (5 points) In a source-free vacuum region: H COS (a) Express H in phasor form (b) Find the associated E field in the...
8-16 Two nonmagnetic dielectrics( μ: 1 ) have the same dielectric constant( ε.-2.25 ), but different conductivities( σ-O and G-50 [S/m). If a wave of a frequency 100 MHz) propagates in each dielectric, compare the values of (a) β, (b) λ, and (c) up of the two waves. An electromagnetic plane wave propagating in a nonmagnetic dielectric has the instantaneous electric and magnetic field intensities given as 8-17 (z.t)- a,967.le" cos(1.5x10°t-Bz) and 'W(z, t) = ay 10e-az cos(1.5x10°t-Bz-0.7194) Determine (a)...
5-At a frequency f = 100 MHz, verify that copper(σ=5.8×107 m,er-1)is a good conductor, and quartz (20 Marks) (σ= 10-17示,Er = 4) ¡s a good dielectric.
Let a uniform surface charge density of 5 nC/m2 be present at the z = 0 plane, a uniform line charge density of 8 nC/m be located at x = 0, z = 4, and a point charge of 2pC be present at P(2, 0, 0). If V 0 at M(O, 0, 5), find Vat N(1, 2, 3)
Q2(a) A uniform plane wave propagating in a z in free space ( 0)is normally incident at z-0 on a conductor (z>0) for which ?-61.7 MS/m, r 1 The free-space E wave has a frequency s-1.SMHz and an amplitude of 1.0 V/m; at the interface it is given by Develop He,t fo0 (10 marks) (b) In free space, Generate the: Phase constant p (2 marks) (ii) Wavelength (2 marks) (ii) Phase velocity v, (2 marks) (iv) Intrinsic impedance of the...
4. Given that E = Em sin(wt - kz) ay, V/m. In free space, Find D, B and H.
4. A uniform plane wave (E, H) with a frequency of 3 GHz travels in the +z direction in a lossless medium with ε,,-4 and μ,,-1. The electric field is polarized in the x-direction. The wave impinges normally on another lossless mediumn in region 2, z >0, where ε,2-9 and μ: 1 . The amplitude of the incident electric field is 100 V/m. Write phasor and instantaneous expressions for: (İ) E, and ill of the total wave in medium 1....
Question 1 (compulsory): The following set of charges is given in free space Charge σ,--40 nC/m Number and type of charge #1 , charged spherical shell of radius Ri-10 cm carrying uniform surface charge density σ #2, charged spherical shell of radius R2-5 cm carrying uniform surface charge density Ơ Location (0, 0, 0) m (position of the centre of the sphere) (0, 0, 0) m (position of the centre of the sphere σ,-160 nC/m2 The positions of the spheres'...
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