A coaxial cable is formed by a long, straight wire and a hollow conducting cylinder with...
A coaxial cable is formed by a long, straight wire and a hollow conducting cylinder with axes that coincide. The wire has charge per unit length
λ = 7λ0,
and the hollow cylinder has net charge per unit length
λ = 6λ0.
Use Gauss's law to answer these questions: What are the charges per unit length on the following surfaces of the hollow cylinder?
(a) the inner surface (Use the following as necessary:
λ0.)
λinner =
(b) the outer surface (Use the following as necessary:
λ0.)
λouter =
(c) What is the electric field a radial distance d from
the axis of the coaxial cable? (Enter the magnitudes. Use the
following as necessary: λ0, d, and
ε0.)
| between wire and cylinder | E | = | |
| within the cylinder | E | = | |
| outside the cylinder | E | = |
Homework Answers
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A coaxial cable is formed by a long, straight wire and a hollow
conducting cylinder with...
Problem (1) A long solid metal conducting cylinder with radius a is coaxial with a long, hollow, metal conducting tube of greater radius b. The inner cylinder of radius a is positively charged with a...
Problem (1) A long solid metal conducting cylinder with radius a is coaxial with a long, hollow, metal conducting tube of greater radius b. The inner cylinder of radius a is positively charged with a positive charge per unit length of magnitude λ (C/m , and there is an equal negative charge per unit length on the outer cylinder of radius b. The region between the two cylinders is filled with an insulating material of dielectric constant K Please use...
A 30 whc 45° moldo Problem 4 Part A A coaxial cable consists of two infinitelv...
A 30 whc 45° moldo Problem 4 Part A A coaxial cable consists of two infinitelv long conducting coaxial cylinders as shown. The inner evlinder is solid with a radius of n and is positively charged with a charge per unit length of A. The outer evlinder is hollow with an inner radius of ra and an outer radius of ra. It is hegatively charged but. with the same magnitude charge per unit length. (a) Make a sketch of the...
A long coaxial cable is made of two concentric hollow cylinders of radii a=2.1 cm and...
A long coaxial cable is made of two concentric hollow cylinders
of radii a=2.1 cm and b=8.6cm. In the inner cylinder runs a current
I, and in the outer cylinder runs the same current in the other
direction.
What is the self induction of the cable per unit length?
Give answer in units of H/m. Use
パ0 Gl1 Gl1 140-4π * 10-1 H / m
The diagram above shows a cross-section view of a very long straight metal cylinder of radius ri ...
The diagram above shows a cross-section view of a very long straight metal cylinder of radius ri within a coaxial hollow metal cylinder of inner radius r2 and outer radius r3. The inner cylinder has a positive charge per unit length λ, whereas the outer cylinder has negative charge per unit length 2A. There are no other objects nearby. Derive from first principles an expression for the electric field magnitude in regions B and D as a function of the...
6. (20 points) A coaxial cable consists of an infinitely long thin wire carrying a charge...
6. (20 points) A coaxial cable consists of an infinitely long thin wire carrying a charge density λ= +1 mcm surrounded by a hollow cylindrical conductor of radius 1 cm, carrying a charge density λ--2 mC/m. Use Gauss's Law to find the electric field at r= 0.5 cm and r= 2 cm
Self-Inductance of a Coaxial Cable
Intro: A coaxial cable consists of alternating coaxial cylinders ofconducting and insulating material. Coaxial cabling is the primarytype of cabling used by the cabletelevision industry and is alsowidely used for computer networks such as Ethernet, on account ofits superior ability to transmit large volumes of electrical signalwithminimum distortion. Like all other kinds of cables, however,coaxial cables also have some self-inductance that has undesirableeffects, such as producing somedistortion and heating.Consider a long coaxial cable made of two coaxial cylindricalconductors that carry...
please help and show all work, preparation for final exam Problem 5. A Coaxial Conundrum Consider a coaxial cable whose cross-section is shown below. The outer conductor is a cylindrical shell, an...
please help and show all work, preparation for final
exam
Problem 5. A Coaxial Conundrum Consider a coaxial cable whose cross-section is shown below. The outer conductor is a cylindrical shell, and the inner cylinder is solid. The cable has a length L (a) If the outer wire contains a net +Q and the inner wire contains a net -Q, compute (b) If the outer wire contains a net +Q and the inner wire contains a net -Q, compute (c)...
9. A coaxial cable has a center wire surrounded by a concentric, hollow cylinder (see figure...
9. A coaxial cable has a center wire surrounded by a concentric, hollow cylinder (see figure below). The center wire has a radius of 1.0 mm and carries a uniform current of 3 A out of the page. The cylindrical conductor (inner radius=3.0 mm, outer radius 4.0 mm) has a uniform current of 2 A but into the page. What is the magnitude of the magnetic field at (a) 3.5 mm and (b) 5.0 mm? (11 points) Mo Inv a)...
A long, conductive cylinder of radius R1 = 3.00 cm and uniform charge per unit length λ = 604 pC/m is coaxial with a long, cylindrical, non-conducting shell of inner and outer radii R2 = 10.5 cm and R3 = 12.0 cm, respectively
A long, conductive cylinder of radius R1 = 3.00 cm and uniform charge per unit length λ = 604 pC/m is coaxial with a long, cylindrical, non-conducting shell of inner and outer radii R2 = 10.5 cm and R3 = 12.0 cm, respectively. If the cylindrical shell carries a uniform charge density of p = 79.8 pC/m, find the magnitude of the electric field at the following radial distances from the central axis:
Only need help on B 1. [Total: 20 pts a) 112 pts) A long coaxial cable...
Only need help on B
1. [Total: 20 pts a) 112 pts) A long coaxial cable carries a uniform volum e charge density ρ throughout an inner cylinder (radius a) and a uniform surface charge density σ on the outer cylinder (radius b). The cable is overall electrically neutral. Find E everywhere in space, and sketch it b) [8 pts We typically consider cases in class where charge is distributed completely uniformly, but it's not always that way - let's...
Problem (1) A long solid metal conducting cylinder with radius a is coaxial with a long, hollow, metal conducting tube of greater radius b. The inner cylinder of radius a is positively charged with a positive charge per unit length of magnitude λ (C/m , and there is an equal negative charge per unit length on the outer cylinder of radius b. The region between the two cylinders is filled with an insulating material of dielectric constant K Please use...
A 30 whc 45° moldo Problem 4 Part A A coaxial cable consists of two infinitelv long conducting coaxial cylinders as shown. The inner evlinder is solid with a radius of n and is positively charged with a charge per unit length of A. The outer evlinder is hollow with an inner radius of ra and an outer radius of ra. It is hegatively charged but. with the same magnitude charge per unit length. (a) Make a sketch of the...
A long coaxial cable is made of two concentric hollow cylinders
of radii a=2.1 cm and b=8.6cm. In the inner cylinder runs a current
I, and in the outer cylinder runs the same current in the other
direction.
What is the self induction of the cable per unit length?
Give answer in units of H/m. Use
パ0 Gl1 Gl1 140-4π * 10-1 H / m
The diagram above shows a cross-section view of a very long straight metal cylinder of radius ri within a coaxial hollow metal cylinder of inner radius r2 and outer radius r3. The inner cylinder has a positive charge per unit length λ, whereas the outer cylinder has negative charge per unit length 2A. There are no other objects nearby. Derive from first principles an expression for the electric field magnitude in regions B and D as a function of the...
6. (20 points) A coaxial cable consists of an infinitely long thin wire carrying a charge density λ= +1 mcm surrounded by a hollow cylindrical conductor of radius 1 cm, carrying a charge density λ--2 mC/m. Use Gauss's Law to find the electric field at r= 0.5 cm and r= 2 cm
please help and show all work, preparation for final
exam
Problem 5. A Coaxial Conundrum Consider a coaxial cable whose cross-section is shown below. The outer conductor is a cylindrical shell, and the inner cylinder is solid. The cable has a length L (a) If the outer wire contains a net +Q and the inner wire contains a net -Q, compute (b) If the outer wire contains a net +Q and the inner wire contains a net -Q, compute (c)...
9. A coaxial cable has a center wire surrounded by a concentric, hollow cylinder (see figure below). The center wire has a radius of 1.0 mm and carries a uniform current of 3 A out of the page. The cylindrical conductor (inner radius=3.0 mm, outer radius 4.0 mm) has a uniform current of 2 A but into the page. What is the magnitude of the magnetic field at (a) 3.5 mm and (b) 5.0 mm? (11 points) Mo Inv a)...
Only need help on B
1. [Total: 20 pts a) 112 pts) A long coaxial cable carries a uniform volum e charge density ρ throughout an inner cylinder (radius a) and a uniform surface charge density σ on the outer cylinder (radius b). The cable is overall electrically neutral. Find E everywhere in space, and sketch it b) [8 pts We typically consider cases in class where charge is distributed completely uniformly, but it's not always that way - let's...
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