(10 marks) A coaxial cable consists of two long concentric conducting tubes of length l, the...

A coaxial cable consists of two long concentric conducting tubes of length l, the inner one of radius a and the outer one of radius b. Assume that the zˆ direction lies along the axis of the cable. A current, I, flows down the inner conductor in the zˆ direction and returns in the outer conductor, where in each case the current is uniformly spread out over the surface.
(a) Determine the magnetic field B everywhere. [5]
(b) Find the self-inductance per unit length. [5]

Solutions

Expert Solution

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A coaxial cable consists of alternating coaxial cylinders of conducting and insulating material. Coaxial cabling is...

A coaxial cable consists of alternating coaxial cylinders of conducting and insulating material. Coaxial cabling is the primary type of cabling used by the cable television industry and is also widely used for computer networks such as Ethernet, on account of its superior ability to transmit large volumes of electrical signal with minimum distortion. Like all other kinds of cables, however, coaxial cables also have some inductance that has undesirable effects, such as producing some distortion and heating.Consider a long...

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 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? < ?....

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)

Find inductance, L, of a concentric cable composed of two cylindrical wires: a solid inner wire...

Find inductance, L, of a concentric cable composed of two cylindrical wires: a solid inner wire of a radius a = 2 mm carrying a constant current I, and a very thin cylindrical outer wire of a radius b = 5 mm and carrying a constant current ??I.

A short section of coaxial cable consists of a line current along the z-axis from z...

A short section of coaxial cable consists of a line current along the z-axis from z = -L to z = L carrying current ?0?̂ surrounded by a hollow cylindrical shell (centered on the z-axis, top at z = L , bottom at z = -L) carrying a surface current ?⃗⃗ = ?0 (−?̂). Radius R a. Find an expression for the magnetic field at an arbitrary point (x, y, z) b. Draw a qualitative graph of the magnetic field...

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 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 very long solid conducting cylinder of length L and radius R carries a uniform surface...

A very long solid conducting cylinder of length L and radius R carries a uniform surface current over the whole outer surface of the cylinder. The surface current is along Z and parallel to the XY-Plane. Use the Biot-Savart law to calculate the B field inside, at the middle of the cylinder. Thanks!

Subjects