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, and that value cannot exceed the Emax that causes the dielectric to breakdown, find the relation between a and b that makes V(a) the maximum possible. Hint: Use the expressions of E and V found in (1) and (2) to relate V(a) and E(a).4. Assuming that the dielectric breakdown occurs for Emax=10 kvolts/cm, and that a= 0.1cm, find the maximum voltage the cable can carry.
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A coaxial cable consists of an internal solid cylindrical
conductor of radius a and a cylindrical...
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...
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...
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...
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 coaxial cable consists of an inner cylindrical conductor of radius R1 -0.040 m on the...
A coaxial cable consists of an inner cylindrical conductor of radius R1 -0.040 m on the axis of an outer hollow cylindrical conductor of inner radius R2 -0.080 m and outer radius R3 = 0.090 m. The inner conductor carries current 11 = 4,40 A in one direction, and the outer conductor carries current 12-4.40A in the opposite direction. What is the magnitude of the magnetic field at the following distances from the central axis of the cable? (0 =...
A coaxial cable is constructed from a central cylindrical conductor of radius rA = 1.40 cm...
A coaxial cable is constructed from a central cylindrical
conductor of radius rA = 1.40 cm carrying current IA = 7.90 A in
the positive x direction and a concentric conducting cylindrical
shell with inner radius rB = 14.0 cm and outer radius rC = 15.0 cm
with a current of 32.0 A in the negative x direction (see figure
below). What are the magnitude and direction of the magnetic field
at the following points?
= 7.90 A A coaxial...
18. A infinitely long cable consists of a solid cylindrical inner conductor of radius a, surrounded...
18. A infinitely long cable consists of a solid cylindrical inner conductor of radius a, surrounded by a concentric cylindrical conducting shell of inner radius b and outer radius c. The inner conductor has a non-uniform current density (r) = ar in the z direction shown. a is a positive constant with units A-m'. The outer conductor has a uniform current density: Jr) = -B (in negative z). B has the same unit as a. The conductors carry equal and...
Coaxial Cable A has twice the length, twice the radius of the inner solid conductor, and...
Coaxial Cable A has twice the length, twice the radius of the inner solid conductor, and twice the radius of the outer cylindrical conducting shell of coaxial Cable B. What is the ratio of the inductance of Cable A to that of Cable B? a. 4ln2 O b.2 ?. o d. 2In2 e.21n4
A coaxial cable is constructed from a central cylindrical conductor of radius r A = 1.70...
A coaxial cable is constructed from a central cylindrical conductor of radius r A = 1.70 cm carrying current lA = 6.50 A in the positive x direction and a concentric conducting cylindrical shell with inner radius rs = 14.0 cm and outer radius rc = 15.0 cm with a current of 38.0 A in the negative x direction (see figure below). What are the magnitude and direction of the magnetic field at the following points? 9 Tc 0 IA...
A coaxial cable is constructed from a central cylindrical conductor of radius r'a = 1.30 cm...
A coaxial cable is constructed from a central cylindrical conductor of radius r'a = 1.30 cm carrying current 1a = 7.20 A in the positive x direction and a concentric conducting cylindrical shell with inner radius 18 = 14.0 cm and outer radius rc = 15.0 cm with a current of 13.0 A in the negative x direction (see Figure below). What are the magnitude and direction of the magnetic field at the following points? 18 69 fc Y 0...
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...
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...
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 coaxial cable consists of an inner cylindrical conductor of radius R1 -0.040 m on the axis of an outer hollow cylindrical conductor of inner radius R2 -0.080 m and outer radius R3 = 0.090 m. The inner conductor carries current 11 = 4,40 A in one direction, and the outer conductor carries current 12-4.40A in the opposite direction. What is the magnitude of the magnetic field at the following distances from the central axis of the cable? (0 =...
A coaxial cable is constructed from a central cylindrical
conductor of radius rA = 1.40 cm carrying current IA = 7.90 A in
the positive x direction and a concentric conducting cylindrical
shell with inner radius rB = 14.0 cm and outer radius rC = 15.0 cm
with a current of 32.0 A in the negative x direction (see figure
below). What are the magnitude and direction of the magnetic field
at the following points?
= 7.90 A A coaxial...
18. A infinitely long cable consists of a solid cylindrical inner conductor of radius a, surrounded by a concentric cylindrical conducting shell of inner radius b and outer radius c. The inner conductor has a non-uniform current density (r) = ar in the z direction shown. a is a positive constant with units A-m'. The outer conductor has a uniform current density: Jr) = -B (in negative z). B has the same unit as a. The conductors carry equal and...
Coaxial Cable A has twice the length, twice the radius of the inner solid conductor, and twice the radius of the outer cylindrical conducting shell of coaxial Cable B. What is the ratio of the inductance of Cable A to that of Cable B? a. 4ln2 O b.2 ?. o d. 2In2 e.21n4
A coaxial cable is constructed from a central cylindrical conductor of radius r A = 1.70 cm carrying current lA = 6.50 A in the positive x direction and a concentric conducting cylindrical shell with inner radius rs = 14.0 cm and outer radius rc = 15.0 cm with a current of 38.0 A in the negative x direction (see figure below). What are the magnitude and direction of the magnetic field at the following points? 9 Tc 0 IA...
A coaxial cable is constructed from a central cylindrical conductor of radius r'a = 1.30 cm carrying current 1a = 7.20 A in the positive x direction and a concentric conducting cylindrical shell with inner radius 18 = 14.0 cm and outer radius rc = 15.0 cm with a current of 13.0 A in the negative x direction (see Figure below). What are the magnitude and direction of the magnetic field at the following points? 18 69 fc Y 0...
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