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14. (15 points) Consider a cylindrical waveguide shown in Fig. 2.3 (a) (7 points) Electric field ...
7.U)A cylindrical capacitor of length L consists of coaxial conducting surfaces of radii a and b...
7.U)A cylindrical capacitor of length L consists of coaxial conducting surfaces of radii a and b (Fig. 4). The dielectric material between the surfaces has a relative permittivity s, 2+(4/r) for a <r< b. (a) Determine the capacitance of this capacitor. (b) Find the electrostatic energy stored in the dielectric region. (Neglect the fringing of the electric field at the edge.) (1490) If the constant electric field in Fig. 5 has a magnitude Eo, calculate the totala electric flux through...
4. Consider the dielectric slab shown below: The electric field within the slab is: E(T) =...
4. Consider the dielectric slab shown below: The electric field within the slab is: E(T) = 2 âz [V/m] and the susceptibility of the dielectric is 2.0, find: (a) the permittivity and relative permittivity of the dielectric. (b) the electric flux density within the slab. (c) the polarization vector within the slab. (d) the volume bound charge density within the slab. (e) the surface bound charge density at the top and bottom of the slab.
For Problems 7 and 8: The relative permittivity of the object shown is є . Outside...
For Problems 7 and 8: The relative permittivity of the object shown is є . Outside is air. The electric flux density on the top surface is give n as D-6R + 80-1 2ф inside the object. The electric field intensity on the top surface is given as в,-4.5177 x1011 R + 3.6142x1o"0+5.42 1 3x 10''Joutside the object. Problem [71 <10 points> Calculate the relative permittivity of the object e Problem |8] <10 points> Calculate the surface charge density p,on...
4. Consider the cylindrical waveguide below, which has an electromagnetic wave propagating in the space between...
4. Consider the cylindrical waveguide below, which has an
electromagnetic wave propagating in the space between the inner and
outer conductors, which is a gap where air exists. The radius of
the inner conductor is a, while the inner radius of the outer
conductor is b (as shown). The fields in the air-gap have the form
E = E0r cos (kz z ωt) B = B0r cos (kz z ωt) where E0 and B0 are
constants, r is the radial...
how can I solve this problem? A uniform plane wave with an electric field given by E(x, z.)- 9Eocos[V3x10°-(xt2) is...
how can I solve this problem?
A uniform plane wave with an electric field given by E(x, z.)- 9Eocos[V3x10°-(xt2) is obliquely incident at the interface located at z- 0 between two lossless dielectric media. The relativity permittivity permittivity corresponding expression for the magnetic field of the incident wave H(x, z, t). (c) Calculate the percentage of the incident power that will be transmitted across the interface. 82r of the second medium is 3. (a) What is the relativity Eir of...
A coaxial line with cylindrical symmetry as shown in cross section by Figure A1-1. It is...
A coaxial line with cylindrical symmetry as shown in cross section by Figure A1-1. It is constructed from a solid inner conductor of radius a, a hollow outer conductor of internal radiusb and is filled with a dielectric having relative permittivity & 2b 2a Figure A1-1: Cross section of a coaxial transmission line (a) Draw lines of electric and magnetic flux for a coaxial transmission line. (4 marks) (b) Use Gauss' Law and a relationship between electric field and voltage...
Please show steps We have that the instantaneous magnetic field H of a wave propagating in...
Please show steps
We have that the instantaneous magnetic field H of a wave propagating in 5. lossless linear, homogeneous, isotropic, (LHI) material that is charge free, non-magnetic Ho) and has a dielectric relative permittivity of e, The instantaneous representation of the magnetic field intensity is given as; H 25 cos(T x 10e + 0.5ry) uA/m (a) Is this wave a uniform plane wave? If so, explain which plane, and why, or wity not, is te wave uniform. Which direction...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
For Problems 7 to 12: Electric field in a uniform medium is given as Ē =n....
For Problems 7 to 12: Electric field in a uniform medium is given as Ē =n. (3ê +4ỹ)cos(3x10° rt – kız)+n. (î+22)cos(6x10° rt +187y) Notice that these two waves are at different frequencies and they propagate in different directions. Permeability of the medium is given as u=450 Problem [7] <5 points> Calculate the relative permittivity of this medium. I Problem [8] <5 points> Calculate the intrinsic impedance of this medium. Problem [9] <5 points> Calculate k. Problem [10] <5 points>...
Problem 7 MT: Field intensity vs. penetration depth (8 points) The formula for the field intensit...
Problem 7 MT: Field intensity vs. penetration depth (8 points) The formula for the field intensity, measured from the surface of a cylindrical bar carrying alternating current is given by where d is the depth / is the AC frequency, μ is the magnetic permeability, and σ is the electrical conductivity. Compute the variation of H with depth for a 2 cm diameter steel bar of average relative permeability 500, with a 30 Oe surface field strength. You can assume...
7.U)A cylindrical capacitor of length L consists of coaxial conducting surfaces of radii a and b (Fig. 4). The dielectric material between the surfaces has a relative permittivity s, 2+(4/r) for a <r< b. (a) Determine the capacitance of this capacitor. (b) Find the electrostatic energy stored in the dielectric region. (Neglect the fringing of the electric field at the edge.) (1490) If the constant electric field in Fig. 5 has a magnitude Eo, calculate the totala electric flux through...
4. Consider the dielectric slab shown below: The electric field within the slab is: E(T) = 2 âz [V/m] and the susceptibility of the dielectric is 2.0, find: (a) the permittivity and relative permittivity of the dielectric. (b) the electric flux density within the slab. (c) the polarization vector within the slab. (d) the volume bound charge density within the slab. (e) the surface bound charge density at the top and bottom of the slab.
For Problems 7 and 8: The relative permittivity of the object shown is є . Outside is air. The electric flux density on the top surface is give n as D-6R + 80-1 2ф inside the object. The electric field intensity on the top surface is given as в,-4.5177 x1011 R + 3.6142x1o"0+5.42 1 3x 10''Joutside the object. Problem [71 <10 points> Calculate the relative permittivity of the object e Problem |8] <10 points> Calculate the surface charge density p,on...
4. Consider the cylindrical waveguide below, which has an
electromagnetic wave propagating in the space between the inner and
outer conductors, which is a gap where air exists. The radius of
the inner conductor is a, while the inner radius of the outer
conductor is b (as shown). The fields in the air-gap have the form
E = E0r cos (kz z ωt) B = B0r cos (kz z ωt) where E0 and B0 are
constants, r is the radial...
how can I solve this problem?
A uniform plane wave with an electric field given by E(x, z.)- 9Eocos[V3x10°-(xt2) is obliquely incident at the interface located at z- 0 between two lossless dielectric media. The relativity permittivity permittivity corresponding expression for the magnetic field of the incident wave H(x, z, t). (c) Calculate the percentage of the incident power that will be transmitted across the interface. 82r of the second medium is 3. (a) What is the relativity Eir of...
A coaxial line with cylindrical symmetry as shown in cross section by Figure A1-1. It is constructed from a solid inner conductor of radius a, a hollow outer conductor of internal radiusb and is filled with a dielectric having relative permittivity & 2b 2a Figure A1-1: Cross section of a coaxial transmission line (a) Draw lines of electric and magnetic flux for a coaxial transmission line. (4 marks) (b) Use Gauss' Law and a relationship between electric field and voltage...
Please show steps
We have that the instantaneous magnetic field H of a wave propagating in 5. lossless linear, homogeneous, isotropic, (LHI) material that is charge free, non-magnetic Ho) and has a dielectric relative permittivity of e, The instantaneous representation of the magnetic field intensity is given as; H 25 cos(T x 10e + 0.5ry) uA/m (a) Is this wave a uniform plane wave? If so, explain which plane, and why, or wity not, is te wave uniform. Which direction...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
For Problems 7 to 12: Electric field in a uniform medium is given as Ē =n. (3ê +4ỹ)cos(3x10° rt – kız)+n. (î+22)cos(6x10° rt +187y) Notice that these two waves are at different frequencies and they propagate in different directions. Permeability of the medium is given as u=450 Problem [7] <5 points> Calculate the relative permittivity of this medium. I Problem [8] <5 points> Calculate the intrinsic impedance of this medium. Problem [9] <5 points> Calculate k. Problem [10] <5 points>...
Problem 7 MT: Field intensity vs. penetration depth (8 points) The formula for the field intensity, measured from the surface of a cylindrical bar carrying alternating current is given by where d is the depth / is the AC frequency, μ is the magnetic permeability, and σ is the electrical conductivity. Compute the variation of H with depth for a 2 cm diameter steel bar of average relative permeability 500, with a 30 Oe surface field strength. You can assume...
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