The figure below shows a long conducting coaxial cable and gives its radii (R₁ = 3.9cm, R₂-8.7cm, R3-16cm). The outer cable has a uniform current density of J = 2.6 A/m², and the inner cable carries a uniform current I = 1.7A flowing in opposite direction. Assume that the currents in each wire is uniformly distributed over its cross section. Determine the magnitude of the magnetic field in terms of μo at a distance r = 13cm from the center of the cable. Express your answer using two decimal places. Answer: R₂ R3 J

The figure below shows a long conducting coaxial cable and gives its radii (R₁ = 3.9cm, R₂-8.7cm, R3-16cm). The outer cable has a uniform current density of J = 2.6 A/m², and the inner cable carries a uniform current I = 1.7A flowing in opposite direction. Assume that the currents in each wire is uniformly distributed over its cross section. Determine the magnitude of the magnetic field in terms of μo at a distance r = 13cm from the center of the cable. Express your answer using two decimal places. Answer: R₂ R3 J

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter12: Sources Of Magnetic Fields

Section: Chapter Questions

Problem 47P: A long, solid, cylindrical conductor of radius 3.0 cm carries a current of 50 A distributed...

See similar textbooks

Similar questions

The accompanying figure shows a cross-section of a long, hollow, cylindrical conductor of inner radius r1= 3.0 cm and outer radius r2= 5.0 cm. A 50-A current distributed uniformly over the cross-section flows into the page. Calculate the magnetic field at r = 2.0 cm. r = 4.0 cm. and r = 6.0 cm.
A long, solid, cylindrical conductor of radius 3.0 cm carries a current of 50 A distributed uniformly over its cross-section. Plot the magnetic field as a function of the radial distance r from the center of the conductor.
The figure below is a cross-sectional view of a coaxial cable. The center conductor is surrounded by a rubber layer, an outer conductor, and another rubber layer. In a particular application, the current in the inner conductor is I1 = 1.12 A out of the page and the current in the outer conductor is I2 = 3.04 A into the page. Assuming the distance d = 1.00 mm, answer the following.
A long, straight wire of length 0.75 m carries current I = 1.5 A in a region where B = 2.3 T. If the force on the wire is 1.4 N, what is the angle between the field and the wire?
A coaxial cable has an inside conductor of a radius a carrying a current I. The current returns as a uniform current through the outside conductor with an inside radius b and outside radius c. (A uniform current means that the current density is constant.) What is the magnetic field a distance r from the center at a<r<b, b<r<c, and c<r.
In a particular region there is a uniform current density of 15 A/m2 in the positive z direction. What is the value of when that line integral is calculated along a closed path consisting of the three straight-line segments from (x, y, z) coordinates (4d, 0, 0) to (4d, 3d, 0) to (0, 0, 0) to (4d, 0, 0), where d = 20 cm?
A portion of a long, cylindrical coaxial cable is shown in the figure below. An electrical current I = 3.0 amps flows down the center conductor, and this same current is returned in the outer conductor. Assume the current is distributed uniformly over the cross sections of the two parts of the cable. The values of the radii in the figure are r1 = 1.5 mm, r2 = 4.0 mm, and r3 = 7.0 mm. Using Ampere’s Law, find the magnitude of the magnetic field at the following distances from the center of the inner wire: a. 1.0 mm. b. 3.0 mm. c. 5.5 mm. d. 9.0 mm.
A current sheet, K = 30.0a A / m, lies in the plane z = −5 m and a filamentary conductor is on the y axis with a current of 5.0 A in the direction a. Find the force per unit length. Resp 94.2 uN / m (attraction)
Two long, parallel conductors, separated by 14.0 cm, carry currents in the same direction. The first wire carries a current I1 = 3.00 A, and the second carries I2 = 8.00 A. (See figure below. Assume the conductors lie in the plane of the page.) (d) What is the force per length exerted by I2 on I1?
A coaxial cable has an inside conductor of a radius a carrying a current I. The current returns as a uniform current through the outside conductor with an inside radius b and outside radius c. (A uniform current means that the current density is constant.) What is the magnetic field a distance r from the center at r< a, a<r<b, b<r<c, and c<r.
Two parallel cables are set apart by a distance r = 20 cm. Currents I1 = 6.0 A and I2 = 5.0 A flow through the cables. Find the approximate force on a 2.0 m length of cable 2 if the currents are parallel (take the conventional direction of current) 150 μμN to left 40 μμN to right 60 μμN to left 60 μμN to right
Consider a wire carrying a current due east in a location where the Earth’s field is due north. A) What is the direction of the force on the wire if both are parallel to the ground? B) Calculate the force per unit length on the wire, in newtons per meter, if the wire carries 19.5 A and the field strength is 2.85 × 10-5 T. C) What would the diameter be, in meters, of copper wire (with density ρ = 8.80 × 103 kg/m3) that would have its weight supported by this force in meters? D) Calculate the resistance per unit length, in ohms per meter, that this copper wire will have. Copper has a resistivity of ρR = 1.72 × 10-8 Ω⋅m. E) Calculate the potential difference per unit length, in volts per meter, of this wire.