(a) A low-loss coaxial cable is required for a 100 MHz project. The diameter of the...
(a) A low-loss coaxial cable is required for a 100 MHz project. The diameter of the inner conductor (copper, σc = 5.7×107 S/m) and the outer diameter of the dielectric to be 2 mm and 7.75 mm, respectively. The dielectric inside this cable is XLPE polyethylene (εr = 2.2, σ = 2.5×10-6 S/m). Please calculated the per-unit-length inductance and per-unit-length conductance; (b) Find the characteristic impedance and its phase constant; (c) A two-wire transmission line is used instead where an air-insulated two-wire line is made of copper wires (diameter of 1.2 mm) with the separation of 2.1 cm. Calculate the per-unit-length line parameters R and C.
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(a) A low-loss coaxial cable is required for a 100 MHz project.
The diameter of the...
P25.5. Compare the loss in the inner conductor and outer conductor of a coaxial cable at 1 MHz. A...
P25.5. Compare the loss in the inner conductor and outer conductor of a coaxial cable at 1 MHz. Assume the conductors are made of copper, that the cable is filled with a dielectric of permittivity er - 3, and that the dimensions are such that the inner conductor radiu:s a = 0.45 mm, and inner radius of the outer conductor b ae. The ratio of losses per unit length in the two conductors is: (a) 3.05. (b) 2.72. (c) 2.30....
Given a distortionless cable for 250 MHz. The outer radius is 20 mm. Assume copper conductors...
Given a distortionless cable for 250 MHz. The outer radius is 20 mm. Assume copper conductors are thick (σc = 5.7×107 S/m). The medium has σ = 10-5 S/m, μ = μ0, ε = ε0. (a) Please design the radius of the inner conductor, so this transmission the line can be distortionless; (b) Calculate the characteristic impedance of this line and its attenuation constant; (c) Calculate the distance of at most 10 dB attenuation.
4. (2 PUNTOS)Inductance of coaxial cables: A coaxial cable as used in TV antennas has an...
4. (2 PUNTOS)Inductance of coaxial cables: A coaxial cable as used in TV antennas has an inner conductor which is 0.5 mm in diameter and an outer conductor 5 mm in diameter. The outer conductor is a very thin shell. • Calculate the total inductance per unit length of the cable. • What are the internal and external inductances per unit length? • What is the total inductance per unit length if you assume the inner conductor to be a...
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...
7. a) Calculate the skin depth for a 2700 MHz signal conducted by a flat copper...
7. a) Calculate the skin depth for a 2700 MHz signal conducted by a flat copper sheet which is 1/4 inch thick. Show the equation, all steps, and (metric, SI) units in your answer b) Fill in the blanks from the word list below. The Smith chart gives you a way to visualize impedance matching and transmission line loss. Once around the outside of the chart is wave length. The smaller the circle you draw on the chart is, the...
please help and show all work, preparation for final exam Problem 5. A Coaxial Conundrum Consider a coaxial cable whose cross-section is shown below. The outer conductor is a cylindrical shell, an...
please help and show all work, preparation for final
exam
Problem 5. A Coaxial Conundrum Consider a coaxial cable whose cross-section is shown below. The outer conductor is a cylindrical shell, and the inner cylinder is solid. The cable has a length L (a) If the outer wire contains a net +Q and the inner wire contains a net -Q, compute (b) If the outer wire contains a net +Q and the inner wire contains a net -Q, compute (c)...
Self-Inductance of a Coaxial Cable
Intro: A coaxial cable consists of alternating coaxial cylinders ofconducting and insulating material. Coaxial cabling is the primarytype of cabling used by the cabletelevision industry and is alsowidely used for computer networks such as Ethernet, on account ofits superior ability to transmit large volumes of electrical signalwithminimum distortion. Like all other kinds of cables, however,coaxial cables also have some self-inductance that has undesirableeffects, such as producing somedistortion and heating.Consider a long coaxial cable made of two coaxial cylindricalconductors that carry...
Calculate R,L,C,G Values of Coxial Cable (RG402)
RG-402U semirigid coaxial cable has an inner conductor diameter of \(0.91 \mathrm{~mm}\) and a dielectric diameter (equal to the inner diameter of the outer conductor) of \(3.02 \mathrm{~mm}\). Both conductors are copper, and the dielectric material is Teflon. Compute the \(R, L, G,\) and \(C\) parameters of this line at \(1 \mathrm{GHz},\) and use these results to find the characteristic impedance and attenuation of the line at \(1 \mathrm{GHz}\). Compare your results to the manufacturer's specifications of \(50 \Omega\) and...
A coaxial cable, as shown in Figure 2, consists of an inner conductor of radius a,...
A coaxial cable, as shown in Figure 2, consists of an inner conductor of radius a, surrounded by an outer conductor of radius b, along the same axis. The space is filled with dielectric. The cable is connected to a power supply and it is deposited a charge of +Q uniformly along the length of the surface of the inner conductor and a charge - Q uniformly along the length of the inner surface of the outer conductor. No fields...
A 2-m coaxial cable whose delay time is 14 ns is tested for a specific application....
A 2-m coaxial cable whose delay time is 14 ns is tested for a specific application. The characteristic impedance of this cable is Z0 = 50 Ω. (The permeability of the medium is assumed to be μ0). Find the per-unit-length line inductance and capacitance.
P25.5. Compare the loss in the inner conductor and outer conductor of a coaxial cable at 1 MHz. Assume the conductors are made of copper, that the cable is filled with a dielectric of permittivity er - 3, and that the dimensions are such that the inner conductor radiu:s a = 0.45 mm, and inner radius of the outer conductor b ae. The ratio of losses per unit length in the two conductors is: (a) 3.05. (b) 2.72. (c) 2.30....
4. (2 PUNTOS)Inductance of coaxial cables: A coaxial cable as used in TV antennas has an inner conductor which is 0.5 mm in diameter and an outer conductor 5 mm in diameter. The outer conductor is a very thin shell. • Calculate the total inductance per unit length of the cable. • What are the internal and external inductances per unit length? • What is the total inductance per unit length if you assume the inner conductor to be a...
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...
7. a) Calculate the skin depth for a 2700 MHz signal conducted by a flat copper sheet which is 1/4 inch thick. Show the equation, all steps, and (metric, SI) units in your answer b) Fill in the blanks from the word list below. The Smith chart gives you a way to visualize impedance matching and transmission line loss. Once around the outside of the chart is wave length. The smaller the circle you draw on the chart is, the...
please help and show all work, preparation for final
exam
Problem 5. A Coaxial Conundrum Consider a coaxial cable whose cross-section is shown below. The outer conductor is a cylindrical shell, and the inner cylinder is solid. The cable has a length L (a) If the outer wire contains a net +Q and the inner wire contains a net -Q, compute (b) If the outer wire contains a net +Q and the inner wire contains a net -Q, compute (c)...
A coaxial cable, as shown in Figure 2, consists of an inner conductor of radius a, surrounded by an outer conductor of radius b, along the same axis. The space is filled with dielectric. The cable is connected to a power supply and it is deposited a charge of +Q uniformly along the length of the surface of the inner conductor and a charge - Q uniformly along the length of the inner surface of the outer conductor. No fields...
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