Coaxial cable. The inner cable has a radius R1 and carries D, a current per cross...

Coaxial cable.
The inner cable has a radius R1 and carries D, a current per cross sectional area.
The outer cable is a sheath cable, very thin, and carries an equal total current but in
the opposite direction at a radius R2. There is a spacer between the two cables and a
rubber coating on the outside for safety purposes.
(Give answers in terms of R1, R2, D, and universal constants, plus r only when specified)
a) Determine the total current in each cable.
b) What is the direction of the magnetic field from each wire, in each region?
c) Determine the magnetic field in the region between the two cables as a function
of distance from the center (r).
d) Determine the magnetic field outside the cable.
e) Determine the magnetic field at any radius (r measured from the center) inside
the central wire. Assume permeability is still ?0.
f) Sketch a graph of the magnetic field as a function of radius (r) in all 3 regions
using a single graph.

Expert Solution

genius_generous answered 2 years ago

A coaxial cable has length d, inner wire radius a and outer shell radius b. You...

A coaxial cable has length d, inner wire radius a and outer shell radius b. You can regard its capacitance and inductance to be in series. If charge +q is placed on the inner wire with −q on the outer shell, how much time will elapse before you will find −q on the inner wire and +q on the outer shell?

A coaxial cable is made of two conductors, the inner one has radius a and the...

A coaxial cable is made of two conductors, the inner one has radius a and the outer radius is b, both conductors are seperated by a dielectric material with relative permitivity εr and conductivity σ , what is the conductance per unit length of this insulating material. Show all steps you followed to obtain the final expression.

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.

A coaxial cable consists of a long cylindrical copper wire of radius r1 surrounded by a...

A coaxial cable consists of a long cylindrical copper wire of radius r1 surrounded by a cylindrical insulating shell of outer radius r2 . A final conducting cylindrical shell of outer radius r3 surrounds the insulating shell. The wire and conducting shell carry equal but opposite currents I uniformly distributed over their volumes. What is the current density j(r) for all r? Find formulas for the magnetic field in each of the regions.

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...

A long coaxial cable with a radius s carries a uniform line charge Q on its...

A long coaxial cable with a radius s carries a uniform line charge Q on its inner conductor and a uniform surface charge -Q on its outer conductor. a) Sketch the situation including the electric field E inside and outside the cable. b) Find the electric field inside and outside the cable. c) Plot |E| as a function of the radius s.

a signal is carried by a coaxial cable. The signal is carried by an inner wire...

a signal is carried by a coaxial cable. The signal is carried by an inner wire with radius R1 while an outer conductor of radius R2 is grounded. An insulating materiel is between the two. A. Find an expression for the capacitance per meter of the coaxial cable, assuming air is between the two cylinders. B. Find the Capacitance per meter of a cable with R1= 0.70mm and R2=2.1mm. (answer units are pF/m)

3. Assume an annulus of inner radius r1 and outer radius r2. The inner surface is...

3. Assume an annulus of inner radius r1 and outer radius r2. The inner surface is at T1, the outer surface at T2, T1 > T2. Assume heat transfer between the surfaces by conduction, with a variable conductivity, k = a + bT, develop an expression for the temperature in the material of the annulus.

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 coaxial cable consists of a cylinder of radius ? surrounding by a thin cylindrical...

) A coaxial cable consists of a cylinder of radius ? surrounding by a thin cylindrical shell of radius 2?. Suppose the cable is along the ?-axis. The current density in inner cylinder is ? ⃗= (?0 + ??)?̂, where ?0 > 0 and ? > 0 are constant. The current in the outer shell, ?? ,is downward (−? direction). a) Find the magnetic field in regions 0 < ? < ?,? < ? < 2? and 2? < ?....

Question