The two Coaxial cylindrical conductors are at p -d and p -fas shown. You can assume...
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,...
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 consists of a long cylindrical conductor of radius a=1 mmconcentric with a thin cylindrical shell of larger radius b=5 mm. If the central conductor has a charge per unit length ?=Q/L=1 micro(C)/m uniformly distributed on itssurface, what is the potential difference between the inner and outer conductors?
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...
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...
get
the solution
1. A coaxial transmission line has inner and outer conductor radii a and b. Between conductors (a < ρ < b) lies a conductive medium whose conductivity is σ(p)- /p, where σ0is a constant. The inner conductor is charged to potential V0, and the outer conductor is grounded. (a) Assuming de radial current I per unit length inz, determine the radial current density field J in A/m2. (b) Determine the electric field intensity E in terms of...
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...
Two types of dielectric material are inserted between
cylindrical conductors with radius a, length L, and radius c,
length L (Figure 6).
Calculate the following when the dielectric rate of a section
(a<ρ≤b) is εb, and the dielectric rate of section (b<ρ<c)
is εc.
a)When an internal conductor has a charge of Q, an
external conductor has a charge of -Q, calculate the inside surface
charge density of ρa and the outer surface charge density of ρc
respectively.
b)Find Electric...
Concentric Cylindrical Conducting Shells
1
An infiinitely long solid conducting cylindrical shell of radius
a = 4.8 cm and negligible thickness is positioned with its symmetry
axis along the z-axis as shown. The shell is charged, having a
linear charge density ?inner = -0.35 ?C/m. Concentric
with the shell is another cylindrical conducting shell of inner
radius b = 17.1 cm, and outer radius c = 21.1 cm. This conducting
shell has a linear charge density ? outer =
0.35?C/m....
Two types of dielectric material are inserted between
cylindrical conductors with radius a, length L, and radius c,
length L (Figure 6).
Calculate the following when the dielectric rate of a section
(a<ρ≤b) is εb, and the dielectric rate of section
(b<ρ<c)
a) When an internal conductor has a charge of Q, an
external conductor has a charge of -Q, calculate the inside surface
charge density of ρa and the outer surface charge density of ρc
respectively.
b) Find Electric...