Question

In: Electrical Engineering

A coaxial air transmission line has a solid conductor with a radius a on the inside...

A coaxial air transmission line has a solid conductor with a radius a on the inside and a very fine conductor with an inner radius on the outside. The conductors of this L-length coaxial transmission line include a lossy dielectric with electrical permeability E1, conductivity o1 and magnetic permeability u0 in the region a<r <c, and a lossy dielectric with electrical permeability E2, conductivity o2 and magnetic permeability u0 in the region of c <r <b. According to this,
a) Draw the geometry of the problem.
b) Find the resistance R, the capacitance C, the inductance L and the conductivity G per unit length of the air conduction line.
c) Find the current density of the face in each region.
d) Find the surface charge densities on the internal and external conductors and at the interface between the two lossy dielectrics.

Solutions

Expert Solution


Related Solutions

A very long coaxial cable consists of a solid cylindrical inner conductor of radius 3.8mm ,...
A very long coaxial cable consists of a solid cylindrical inner conductor of radius 3.8mm , surrounded by an outer cylindrical conductor with inner radius 7mm , and outer radius 9.3mm . The region between the two conductors is filled with a waxlike insulating material to keep the conductors from touching each other. The inner conductor carries a current 4.65A , into the page, while the outer conductor carries a current 4.6A , out of the page. Part A Use...
Consider a cylindrical coaxial cable. The center conductor is solid with radius R, while the outer...
Consider a cylindrical coaxial cable. The center conductor is solid with radius R, while the outer conductor is hollow with inner radius a and outer radius b, Both conductors have the same total current I (of uniform current density), but moving in the opposite direction of each other. Find the magnitude of the magnetic field as a function of r (where r=0 at the central axis) in the interval a is less than or equal to r is less than...
A coaxial cylindrical conductor with outer radius R2 and inner radius R1 and has dielectric Er...
A coaxial cylindrical conductor with outer radius R2 and inner radius R1 and has dielectric Er relative dielectric between the conductor. Is the charge per unit length on the Anner cylinder is lemda, find (a) D, E for a <r<b ( (b) potential difference between the conductors (c) the capacitance per unit length.
The coaxial cable shown in Figure on the right consists of a solid inner conductor of...
The coaxial cable shown in Figure on the right consists of a solid inner conductor of radius a and a hollow outer conductor of inner radius b and thickness c. The two-carry equal but opposite currents I, uniformly distributed. Find expressions for the magnetic field as a function of radial position r a) within the inner conductor (10 pts) b) between inner and outer conductors (5 pts) c) beyond the outer conductor (5 pts)
A solid conductor with radius a is supported by insulating disks on the axis of a...
A solid conductor with radius a is supported by insulating disks on the axis of a conducting tube with inner radius b and outer radius c (see figure). The central conductor and tube carry equal currents I in opposite directions. The currents are distributed uniformly over the cross sections of each conductor. (a) Derive an expression for the magnitude of the magnetic field at points outside the central, solid conductor, but inside the tube (a < r < b). (Use...
A solid conductor with radius a is supported by insulating disks on the axis of a...
A solid conductor with radius a is supported by insulating disks on the axis of a conducting tube with inner radius b and outer radius c( (Intro 1 figure) ). The central conductor and tube carry currents and correspondingly in the same direction. The currents are distributed uniformly over the cross sections of each conductor.Derive an expression for the magnitude of the magnetic field A) at points outside the central, solid conductor but inside the tube Express your answer in terms...
Consider an infinitely long, straight coaxial cable consisting of a homogeneous cylindrical center conductor with radius...
Consider an infinitely long, straight coaxial cable consisting of a homogeneous cylindrical center conductor with radius a and a surrounding conductive tube (shield) with inner radius b. The space between the center conductor and the screen is filled with a dielectric with er (epsilon r) = 1. In the inner conductor, a direct current I is distributed evenly over the cross section. In the outer conductor there is a corresponding return current. On the surface of the inner conductor there...
A solid conductor with radius a is supported by insulating disks on the axis of a conducting tube
 A solid conductor with radius a is supported by insulating disks on the axis of a conducting tube with inner radius b and outer radius c in the following figure. Each is infinitely long. Let the z-axis be the central axis of both the solid conductor and the conducting tube. The central conductor carries a current I, in the direction indicated, and the tube carries a current I, in the opposite direction. The currents are distributed uniformly over the cross...
2) We can model the earth as a solid spherical conductor of radius RE surrounded by...
2) We can model the earth as a solid spherical conductor of radius RE surrounded by a concentric spherical conducting shell with inner radius Ri , and outer radius Ro, which is the ionosphere. The earth has charge +Q, while the ionosphere has zero net charge. Write all answers in terms of Q, RE, Ri , Ro, and 0. For parts (a) through (c), what is the surface charge density on (a) the outer surface of the inner sphere of...
A new electricity transmission line is planned to supply an outlying area and two different conductor...
A new electricity transmission line is planned to supply an outlying area and two different conductor sizes are being considered. The capital cost of the line is estimated at $15,600,000 for conductor A and $18,700,000 for conductor B. The energy losses in the line in the first year are estimated at $146,000 for conductor A and $75,000 for conductor B. If conductor A is used the load capacity of the line will be reached in 13 years. The line will...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT