![2. [5 Marks] A perpendicularly polarised plane wave (i.e the E-field is in the y-direction), propagates from region 1 with ?,-8.5 and into region 2 which is a vacuum. The wave exits at an angle of 15°. Given that the incident E-field amplitude is 10??/cm, find: a) The amplitude of the reflected electric field. b) The amplitude of the transmitted electric field c) The amplitude of the reflected magnetic field. d) The amplitude of the transmitted magnetic field. Useful Equations: and ET Cos](http://img.homeworklib.com/questions/0ddf7fa0-c742-11ec-ae87-f9bc2b1a546d.png?x-oss-process=image/resize,w_560)
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2. [5 Marks] A perpendicularly polarised plane wave (i.e the E-field is in the y-direction), propagates...
[132 2 2 3 4 17 marks] Question 4 A plane wave is travelling in a...
[132 2 2 3 4 17 marks] Question 4 A plane wave is travelling in a vacuum in the +z-direction with wavenumber k and angular frequency . It is linearly polarised in the x-direction, and has electric field given by E(t, z) Eo Cos(kz - wt)f This wave is normally incident on a perfectly electrically conducting, semi-infinite slab in the region z > 0 and the resulting field in vacuum (z < 0) is a superposition of the incident and...
mainly just looking for clarification of part c) a= cos theta t / cos theta i , b=sin theta i/ sin theta t 5. A plane electrom netic wave is obliquely incident upon an infinite plane boundary two die...
mainly just looking for clarification of part c)
a= cos theta t / cos theta i , b=sin theta i/ sin theta t
5. A plane electrom netic wave is obliquely incident upon an infinite plane boundary two dielectrics with refractive indices, permittivities and permeabilities m. ει, μι and respectively. In terms of the angles of incidence, O, and refraction, e, define n2-E2, μ2 sin θ sin6, (a) State succinctly what assumptions have been made about the materials to write...
19. A linearly polarized wave propagates in a perfect dielectric medium with relative permittivity of 2....
19. A linearly polarized wave propagates in a perfect dielectric medium with relative permittivity of 2. The wave reaches the interface between this medium and air at an angle of incidence 60°. The wave's electric field vector is parallel to the plane of incidence. What percentage of the incident power is transmitted in air? 20. A plane electromagnetic wave traveling in vacuum is normally incident onto a vacuum/dielectric boundary. 36% of the incident power is carried by the reflected wave....
Given that the reflectance and transmittance for a plane wave polarised perpendicular to the pl n...
Given that the reflectance and transmittance for a plane wave polarised perpendicular to the pl n by: ane of incidence are give I + αβ where sin θ sin θ cos θ cos θ and the angles of incidence are θί , and refraction, θ Assume that an incident wave (randomly polarized) from a medium with refractive index ni strikes a dielectric with refractive index n. Determine the degree of polarization of the reflected and transmitted waves when ni =1.0...
I. (a) A uniform plane wave in air is incident on a lossless dielectric at an angle of 45 as shown in Fig.a. The transmitted wave propagates in a 30° direction with respect to the normal. The frequen...
I. (a) A uniform plane wave in air is incident on a lossless dielectric at an angle of 45 as shown in Fig.a. The transmitted wave propagates in a 30° direction with respect to the normal. The frequency is 300MHz. Find &2 in terms of g (b) A uniform plane wave is incident in a lossless dielectric with ε2 range of incident angles does transmission occur. 4e as shown in Fig . For what 2. e p
I. (a) A...
Part 1: A plane electromagnetic wave propagates in vacuum. Its electric field is given by the...
Part 1: A plane electromagnetic wave propagates in vacuum. Its electric field is given by the mathematical expression Ex = 235 cos 0.63m?1 z ? 1.9 × 108 s ?1 t V/ (for refrence). Actual Question : According to the above expression, at a particular instance in time, the electric field is along the +x direction. Indicate the magnitude and direction of the wave’s magnetic field at the same instance. (Hint: The right-hand rule applies.) A. 78 × 10?8T, z...
A monochromatic, plane electromagnetic wave, incident fromn vacuum at an angle θ to the normal, is reflected from the s...
A monochromatic, plane electromagnetic wave, incident fromn vacuum at an angle θ to the normal, is reflected from the surface of a semi-infinite slab of perfect electric conductor that occupies the space z 2 0. Take the plane of incidence to be the x - z plane and the boundary to be the z plane. If the incident wave is polarised with its electric field parallel to the plane of incidence, write down expressions for: (a) The surface charge density...
A monochromatic, plane electromagnetic wave, incident from vacuum at an angle θ to the normal is reflected from the sur...
A monochromatic, plane electromagnetic wave, incident from vacuum at an angle θ to the normal is reflected from the surface of a semi-infinite slab of perfect electric conductor that occupies the space z 2 0. Take the plane of incidence to be the x - z plane and the boundary to be the z- 0 plane. If the incident wave is polarised with its electric field parallel to the plane of incidence, write down expressions for: The surface charge density...
5) (20pts) A plane EMW with an whose characteristic values are e, reflection and transmission coefficients, c) Find...
5) (20pts) A plane EMW with an whose characteristic values are e, reflection and transmission coefficients, c) Find electric field and magnetic field components of the reflected field, d) Find the power components of the reflected and transmitted wave clectric field component given by E = a,2 x 10-3e iz is propagating through a medium 4 and A, 1 in the normal direction. A) Find its magnetic field component, b) Find Bonus (Each is worth 7.5 pts) a) Derive the...
In free space (x ≤ 0), a plane wave with ? ⃗ = 100 sin(3x108t -...
In free space (x ≤ 0), a plane wave with ? ⃗ = 100 sin(3x108t - βx)? y V/m is incident normally on a lossless medium (ε= 6ε0, ?= 8μ0) in region x ≥ 0. Determine the reflected and the transmitted wave electric and magnetic field equations.
[132 2 2 3 4 17 marks] Question 4 A plane wave is travelling in a vacuum in the +z-direction with wavenumber k and angular frequency . It is linearly polarised in the x-direction, and has electric field given by E(t, z) Eo Cos(kz - wt)f This wave is normally incident on a perfectly electrically conducting, semi-infinite slab in the region z > 0 and the resulting field in vacuum (z < 0) is a superposition of the incident and...
mainly just looking for clarification of part c)
a= cos theta t / cos theta i , b=sin theta i/ sin theta t
5. A plane electrom netic wave is obliquely incident upon an infinite plane boundary two dielectrics with refractive indices, permittivities and permeabilities m. ει, μι and respectively. In terms of the angles of incidence, O, and refraction, e, define n2-E2, μ2 sin θ sin6, (a) State succinctly what assumptions have been made about the materials to write...
19. A linearly polarized wave propagates in a perfect dielectric medium with relative permittivity of 2. The wave reaches the interface between this medium and air at an angle of incidence 60°. The wave's electric field vector is parallel to the plane of incidence. What percentage of the incident power is transmitted in air? 20. A plane electromagnetic wave traveling in vacuum is normally incident onto a vacuum/dielectric boundary. 36% of the incident power is carried by the reflected wave....
Given that the reflectance and transmittance for a plane wave polarised perpendicular to the pl n by: ane of incidence are give I + αβ where sin θ sin θ cos θ cos θ and the angles of incidence are θί , and refraction, θ Assume that an incident wave (randomly polarized) from a medium with refractive index ni strikes a dielectric with refractive index n. Determine the degree of polarization of the reflected and transmitted waves when ni =1.0...
I. (a) A uniform plane wave in air is incident on a lossless dielectric at an angle of 45 as shown in Fig.a. The transmitted wave propagates in a 30° direction with respect to the normal. The frequency is 300MHz. Find &2 in terms of g (b) A uniform plane wave is incident in a lossless dielectric with ε2 range of incident angles does transmission occur. 4e as shown in Fig . For what 2. e p
I. (a) A...
A monochromatic, plane electromagnetic wave, incident fromn vacuum at an angle θ to the normal, is reflected from the surface of a semi-infinite slab of perfect electric conductor that occupies the space z 2 0. Take the plane of incidence to be the x - z plane and the boundary to be the z plane. If the incident wave is polarised with its electric field parallel to the plane of incidence, write down expressions for: (a) The surface charge density...
A monochromatic, plane electromagnetic wave, incident from vacuum at an angle θ to the normal is reflected from the surface of a semi-infinite slab of perfect electric conductor that occupies the space z 2 0. Take the plane of incidence to be the x - z plane and the boundary to be the z- 0 plane. If the incident wave is polarised with its electric field parallel to the plane of incidence, write down expressions for: The surface charge density...
5) (20pts) A plane EMW with an whose characteristic values are e, reflection and transmission coefficients, c) Find electric field and magnetic field components of the reflected field, d) Find the power components of the reflected and transmitted wave clectric field component given by E = a,2 x 10-3e iz is propagating through a medium 4 and A, 1 in the normal direction. A) Find its magnetic field component, b) Find Bonus (Each is worth 7.5 pts) a) Derive the...
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