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 \(0.43 \mathrm{~dB} / \mathrm{m},\) and discuss reasons for the difference.
Homework Answers
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.
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....
3) For the cable in problem 2) now consider it to be lossless (i.e. perfect conductors and filled...
need help with question 3 ( question 2 for reference )
3) For the cable in problem 2) now consider it to be lossless (i.e. perfect conductors and filled with a dielectric material of ε,-3 and σ-0 S/m). (a) Determine a, B, up and Zo for the line. (b) If the line is terminated by a loading impedance Zt.-(30-j70) 2, find the reflection coefficient at the load, the standing-wave ratio on the line, the position of the voltage maximum nearest...
(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...
2) Consider a coaxial cable with the outer conductor radius of 8 mm and inner conductor radius of...
2) Consider a coaxial cable with the outer conductor radius of 8 mm and inner conductor radius of 4 mm. Assume a 100 MHz signal. (a) Calculate the parameters R L' G and C" assuming that the conductors are Cu and the space between them is filled with a dielectric material of&r-3 and ơ-103 S/m. (b) From the parameters in (a) determine a, B, up and Zo for the line. (c) How far would a signal travel in this line...
A coaxial cable used in a transmission line has an inner radius of 0.12 mm and...
A coaxial cable used in a transmission line has an inner radius of 0.12 mm and an outer radius of 0.76 mm. Calculate the capacitance per meter for the cable. Assume that the space between the conductors is filled with a material with a dielectric constant of 2.9.
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...
2 (15 points) A coaxial cable consists of a solid inner conductor of radius R. surrounded...
2 (15 points) A coaxial cable consists of a solid inner conductor of radius R. surrounded by a concentric cylindrical tube of inner radius R, and outer radius R, (see the figure). The conductors carry equal and opposite currents lo distributed uniformly across their cross sections. Let lo = 3.00 A, R = 0.60 mm, R 4.00 mm, and Ry -4.80 mm. Find B for (a) (10 points) 2.00 mm; (b) (5 points) = 5.00 mm
3. (20 points) A coaxial cable consists of a solid inner conductor of radius R, surrounded...
3. (20 points) A coaxial cable consists of a solid inner conductor of radius R, surrounded by a concentric cylindrical tube of inner radius R2 and outer radius R3 (see the figure). The conductors carry equal and opposite currents lo distributed uniformly across their cross sections. Let I 3.00 A, R 0.60 mm. R 4.00 mm, and R -4.80 mm. Find B for (a) (10 points)r 0.40 mm; (b) (10 points)r - 5.00 mm
Q9) A coaxial cable of length L-10m, has inner and outerradii of a-1 mm and b-3 mm. The region a p<b is a dielectric with Ep-2 and conductivity σ-0.01 S/m. Let V-10 V at ρ-a and V-0 V at ρ-b,...
Q9) A coaxial cable of length L-10m, has inner and outerradii of a-1 mm and b-3 mm. The region a p<b is a dielectric with Ep-2 and conductivity σ-0.01 S/m. Let V-10 V at ρ-a and V-0 V at ρ-b, find i. Eand Vin the region a <ρ<b. ii. The capacitance per unit length. iii. ρ,atpra. iv. The stored energy per unit length. v. The resistance between the inner and outer conductors. vi. The leakage current (the current between the...
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....
need help with question 3 ( question 2 for reference )
3) For the cable in problem 2) now consider it to be lossless (i.e. perfect conductors and filled with a dielectric material of ε,-3 and σ-0 S/m). (a) Determine a, B, up and Zo for the line. (b) If the line is terminated by a loading impedance Zt.-(30-j70) 2, find the reflection coefficient at the load, the standing-wave ratio on the line, the position of the voltage maximum nearest...
2) Consider a coaxial cable with the outer conductor radius of 8 mm and inner conductor radius of 4 mm. Assume a 100 MHz signal. (a) Calculate the parameters R L' G and C" assuming that the conductors are Cu and the space between them is filled with a dielectric material of&r-3 and ơ-103 S/m. (b) From the parameters in (a) determine a, B, up and Zo for the line. (c) How far would a signal travel in this line...
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...
2 (15 points) A coaxial cable consists of a solid inner conductor of radius R. surrounded by a concentric cylindrical tube of inner radius R, and outer radius R, (see the figure). The conductors carry equal and opposite currents lo distributed uniformly across their cross sections. Let lo = 3.00 A, R = 0.60 mm, R 4.00 mm, and Ry -4.80 mm. Find B for (a) (10 points) 2.00 mm; (b) (5 points) = 5.00 mm
3. (20 points) A coaxial cable consists of a solid inner conductor of radius R, surrounded by a concentric cylindrical tube of inner radius R2 and outer radius R3 (see the figure). The conductors carry equal and opposite currents lo distributed uniformly across their cross sections. Let I 3.00 A, R 0.60 mm. R 4.00 mm, and R -4.80 mm. Find B for (a) (10 points)r 0.40 mm; (b) (10 points)r - 5.00 mm
Q9) A coaxial cable of length L-10m, has inner and outerradii of a-1 mm and b-3 mm. The region a p<b is a dielectric with Ep-2 and conductivity σ-0.01 S/m. Let V-10 V at ρ-a and V-0 V at ρ-b, find i. Eand Vin the region a <ρ<b. ii. The capacitance per unit length. iii. ρ,atpra. iv. The stored energy per unit length. v. The resistance between the inner and outer conductors. vi. The leakage current (the current between the...
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