The Baltic cable connects the power grids of Germany and Sweden
beneath the Baltic sea. Assume the cross section of the cable looks
as in the figure below. The coaxial cable has a cylindrical inner
conductor, radius a and an outer conductor, radius b, with
polyethylene (relative dielectric constant of 2.5; high dielectric
breakdown strength) in between. The outer conductor is surrounded
by a waterproof insulator (not shown). Assume that each conductor
holds charge ±Q per unit length.
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The Baltic cable connects the power grids of Germany and Sweden beneath the Baltic sea. Assume th...
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...
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....
Problem 2: Consider a coaxial cable with an inner conductor radius of a and outer conductor...
Problem 2: Consider a coaxial cable with an inner conductor radius of a and outer conductor radius of b. The region between the conductors is filled with a linear dielectric material that has a relative permittivity er (recall, ε = Er €0). A voltage V is applied to a length h of the cable, resulting in a free-charge of qf residing on the inner conductor and -9f residing on the outer conductor. Part a Determine the D, E, and P...
2. Leakage Resistance of a Coax Cable The leakage resistivity of a coax cable's insulation is...
2. Leakage Resistance of a Coax Cable The leakage resistivity of a coax cable's insulation is measured as follows. A known potential difference V is applied across the two conductors in a length L of the cable; the leakage current I that flows between them (through the insulation) is measured; and the resistivity is calculated from the voltage and current. The inner conductor has radius a and the outer conductor has inner radius b. The insulator fills the space between...
--Q (for every 10m of cable) \ tq (for every 10m of cable) Perspective View Front...
--Q (for every 10m of cable) \ tq (for every 10m of cable) Perspective View Front View The diagram above shows a coaxial cable. The inner conductor has radius a = 0.0025 m. The outer conductor is a cylindrical shell with inner radius b = 0.0075 m, and outer radius c = 0.008 m from the center. Both conductors are coaxial. For every lengt L= 10 m of cable, there is a total charge q = 2.8e-08 C on the...
A.) We'll start with a very long coaxial cable that has two parts. There's a conducting...
A.) We'll start with a very long coaxial cable that has two parts. There's a conducting cylindrical inner wire of radius a, and a conducting cylindrical sheath around that with radius b. The space in between (a<r<b) is empty. Let the inner conductor have some linear charge density lambda along its length. Derive an expression for the magnitude of the electric field between the inner and outer conductors as a function of r. B.) Consider the same geometry as the...
A coaxial cable of length 1 = 4m consists of a solid cylindrical conductor surrounded by...
A coaxial cable of length 1 = 4m consists of a solid cylindrical conductor surrounded by a cylindrical conducting shell. The inner conductor has a radius ry = 2mm and carries a charge Q, while the surrounding shell has a radius ra = 8mm and carries a charge -Q. Assume that Q = +8 x 10-8C and that air fills the gap between the conductors. (a) What is the capacitance of this cable? (b) What is the magnitude of the...
This coaxial cable consists of a solid inner conductor of radius ?1 and a very thin...
This coaxial cable consists of a solid inner conductor of radius ?1 and a very thin outer conductor of radius ?2. The two cables carry equal currents ?, but in the opposite direction. The current density is uniformly distributed within each conductor. a) Find expressions for the magnetic field (B-field) in three regions: i) within the inner conductor ii) in the space between the conductors iii) outside the outer conductor. b) Draw a graph of B vrsus the cylindrical radius...
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
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...
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....
Problem 2: Consider a coaxial cable with an inner conductor radius of a and outer conductor radius of b. The region between the conductors is filled with a linear dielectric material that has a relative permittivity er (recall, ε = Er €0). A voltage V is applied to a length h of the cable, resulting in a free-charge of qf residing on the inner conductor and -9f residing on the outer conductor. Part a Determine the D, E, and P...
2. Leakage Resistance of a Coax Cable The leakage resistivity of a coax cable's insulation is measured as follows. A known potential difference V is applied across the two conductors in a length L of the cable; the leakage current I that flows between them (through the insulation) is measured; and the resistivity is calculated from the voltage and current. The inner conductor has radius a and the outer conductor has inner radius b. The insulator fills the space between...
--Q (for every 10m of cable) \ tq (for every 10m of cable) Perspective View Front View The diagram above shows a coaxial cable. The inner conductor has radius a = 0.0025 m. The outer conductor is a cylindrical shell with inner radius b = 0.0075 m, and outer radius c = 0.008 m from the center. Both conductors are coaxial. For every lengt L= 10 m of cable, there is a total charge q = 2.8e-08 C on the...
A coaxial cable of length 1 = 4m consists of a solid cylindrical conductor surrounded by a cylindrical conducting shell. The inner conductor has a radius ry = 2mm and carries a charge Q, while the surrounding shell has a radius ra = 8mm and carries a charge -Q. Assume that Q = +8 x 10-8C and that air fills the gap between the conductors. (a) What is the capacitance of this cable? (b) What is the magnitude of the...
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
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