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7.U)A cylindrical capacitor of length L consists of coaxial conducting surfaces of radii a and b...
A long cylindrical coaxial capacitor of length ?, has an inner radius ? and an outer...
A long cylindrical coaxial capacitor of length ?, has an inner radius ? and an outer radius ?, as shown in figure (4). The capacitor is filled with one layers of an isotropic and homogenous dielectric with permittivity of 4??. If the voltage of the inner electrode is maintained at ?? while the outer electrode is earthed, calculate the following: a) Electric flux density and the electric field intensity in whole space b) The equation that describe the voltage between...
2) Consider a coaxial capacitor with two concentric metal cylinders of radii a and b (a...
2) Consider a coaxial capacitor with two concentric metal cylinders of radii a and b (a < b), filled with a dielectric material whose permittivity e varies linearly from ea at r = a to Ep at r = b. a. Find the capacitance per unit length. b. Find the numerical value of the capacitance if the radii are 2 mm and 6 mm and the relative dielectric constant varies from 2.25 to 8.5, respectively.
1. Two “infinite” coaxial conducting cylindrical shells with radii a and b have charge densities +...
1. Two “infinite” coaxial conducting cylindrical shells with radii a and b have charge densities + a and - 2 coulombs/m as shown in the figure. Use Gauss' Law to find the electric field magnitudes E (r); showing on the figure the closed surfaces you use: a) Find E (r) at r <a. b) Find E (r) at a<r<b. c) Find E (r) at r >b. d) What is the voltage difference between the two conducting shells?
A coaxial cable consists of an internal solid cylindrical conductor of radius a and a cylindrical...
A coaxial cable consists of an internal solid cylindrical conductor of radius a and a cylindrical conductive thin shell of radius b separated by a dielectric of permittivity e.Assuming the length of the cable as infinite and that it carries a linear electric charge of qlcoulombs/meter, find the following:1. The electric field E for a ≤p≤b2. The voltage difference between the two conductor surfaces. 3. Since the maximum value of the electric field occurs at the surface p = a,...
3. A coaxial capacitor of length l = 6 cm uses an insulating dielectric material with Er= 9. The radii of the cylindrical conductors are 0.5 cm and 1 cm. If the voltage applied across the capacit...
3. A coaxial capacitor of length l = 6 cm uses an insulating dielectric material with Er= 9. The radii of the cylindrical conductors are 0.5 cm and 1 cm. If the voltage applied across the capacitor is V(t)-50 sin (120xt) 4. If we were to characterize how good a material is as an insulator by its resistance to dissipating charge, which of the following two materials is the better insulator? Dry Soil: Er 2.5, σ 10-4 (S/m) Freshwater: er-80,...
A capacitor is formed from two long conducting cylindrical shells which arc coaxial, and have radii...
A capacitor is formed from two long conducting cylindrical shells which arc coaxial, and have radii of 25 mm and 100 mm. The electric potential of the inner conductor with respect to the outer conductor is -500 V. How much energy is stored in a 1.0 m long section of the capacitor?
A coaxial capacitor (cylindrical shape) is filled with two coaxial dielectric lasers. The relative permittivity of...
A coaxial capacitor (cylindrical shape) is filled with two coaxial dielectric lasers. The relative permittivity of the layer near the inner electrode of the capacitor is epsilon_r|, and that of the other laser is epsilon_r2. The radius of the inner electrode is a, the radius of the boundary surface between the layers is b, and the inner radius of the outer electrode is c. Calculate the capacitance per unit length of the cable. If the voltage between the inner and...
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...
An air-filled capacitor is formed from two long conducting cylindrical shells that are coaxial and have...
An air-filled capacitor is formed from two long conducting cylindrical shells that are coaxial and have radii of 21mm and 108 mm. The electric potential of the inner conductor with respect to the outer conductor is - 400 V (k = 1/4πε 0 = 8.99 × 109 N · m2/C2) The energy stored in a 1.0-m length of this capacitor is closest to 5.5 μJ. 2.7 μJ. 1.9 μJ. 7.6 μJ. 3.8 μJ.
14. (15 points) Consider a cylindrical waveguide shown in Fig. 2.3 (a) (7 points) Electric field ...
14. (15 points) Consider a cylindrical waveguide shown in Fig. 2.3 (a) (7 points) Electric field inside a cylindrical waveguide filled with a dielectric with relative permittivity e, is given by the following expression: o ex ar Inb/a r (b) (7 points) Calculate corresponding magnetic field H (c) (3 points) Calculate the Poyinting vector S and the power flowing through the surface a <r<b, z = h dl fig 2,3 20 2 2
14. (15 points) Consider a cylindrical waveguide...
2) Consider a coaxial capacitor with two concentric metal cylinders of radii a and b (a < b), filled with a dielectric material whose permittivity e varies linearly from ea at r = a to Ep at r = b. a. Find the capacitance per unit length. b. Find the numerical value of the capacitance if the radii are 2 mm and 6 mm and the relative dielectric constant varies from 2.25 to 8.5, respectively.
1. Two “infinite” coaxial conducting cylindrical shells with radii a and b have charge densities + a and - 2 coulombs/m as shown in the figure. Use Gauss' Law to find the electric field magnitudes E (r); showing on the figure the closed surfaces you use: a) Find E (r) at r <a. b) Find E (r) at a<r<b. c) Find E (r) at r >b. d) What is the voltage difference between the two conducting shells?
3. A coaxial capacitor of length l = 6 cm uses an insulating dielectric material with Er= 9. The radii of the cylindrical conductors are 0.5 cm and 1 cm. If the voltage applied across the capacitor is V(t)-50 sin (120xt) 4. If we were to characterize how good a material is as an insulator by its resistance to dissipating charge, which of the following two materials is the better insulator? Dry Soil: Er 2.5, σ 10-4 (S/m) Freshwater: er-80,...
A capacitor is formed from two long conducting cylindrical shells which arc coaxial, and have radii of 25 mm and 100 mm. The electric potential of the inner conductor with respect to the outer conductor is -500 V. How much energy is stored in a 1.0 m long section of the capacitor?
A coaxial capacitor (cylindrical shape) is filled with two coaxial dielectric lasers. The relative permittivity of the layer near the inner electrode of the capacitor is epsilon_r|, and that of the other laser is epsilon_r2. The radius of the inner electrode is a, the radius of the boundary surface between the layers is b, and the inner radius of the outer electrode is c. Calculate the capacitance per unit length of the cable. If the voltage between the inner and...
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...
14. (15 points) Consider a cylindrical waveguide shown in Fig. 2.3 (a) (7 points) Electric field inside a cylindrical waveguide filled with a dielectric with relative permittivity e, is given by the following expression: o ex ar Inb/a r (b) (7 points) Calculate corresponding magnetic field H (c) (3 points) Calculate the Poyinting vector S and the power flowing through the surface a <r<b, z = h dl fig 2,3 20 2 2
14. (15 points) Consider a cylindrical waveguide...
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