28.39 Coaxial Cable. A solid Figure E28.39 conductor with radius a is supported by insulating disks on the axis of a conducting tube with inner radius b and outer radius c (Fig. E28.39). The central conductor and tube carry equal currents I in opposite direc- tions. The currents are distributed uniformly over the cross sections of each conductor. Derive an expression for the magnitude of the magnetic field (a) at points outside the central, solid conductor but inside the tube (a c).

28.39 Coaxial Cable. A solid Figure E28.39 conductor with radius a is supported by insulating disks on the axis of a conducting tube with inner radius b and outer radius c (Fig. E28.39). The central conductor and tube carry equal currents I in opposite direc- tions. The currents are distributed uniformly over the cross sections of each conductor. Derive an expression for the magnitude of the magnetic field (a) at points outside the central, solid conductor but inside the tube (a c).

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter31: Gauss’s Law For Magnetism And Ampère’s Law

Section: Chapter Questions

Problem 31PQ

See similar textbooks

Similar questions

A closely wound solenoid of 2000 turns has an axial length of 64 cm and a radius of 2.50 cm. When there is a current of 10.50 A in the solenoid, what is the flux density on the axis (a) at the center and (b) 12 cm away from the right end of the solenoid?
Given the following arc of current,find the angle of the arc such that theB-field at the center point is 1.26 x10-5 T, the radius 12 cm, and thecurrent 7 A
A parallel-plate capacitor with circular plates of radius R = 16 mm and gap width d = 5.0 mm has a uniform electric field between the plates. Starting at time t = 0, the potential difference between the two plates is V ohm (100 V)e=t/t, where the time constant t = 12 ms. At radial distance r = 0.80R from the central axis, what is the magnetic field magnitude (a) as a function of time for t >- 0 and (b) at time t = 3t?
A toroid has a 5.00 cm square cross section, an inside radius of 15.0 cm, 500 turns of wire, and a current of 0.800 A.What is the magnetic flux through the cross section?
An electric current is flowing through a long cylindrical conductor with radius a = 0.75 m. The current density J = 9.5 A/m2 is uniform in the cylinder. In this problem we consider an imaginary cylinder with radius r around the axis AB. 1. For r = 0.5 a, calculate the numerical value of B in Tesla. 2. Express the magnitude of the magnetic field, B, at r > a in terms of I and r. 3. Express B in terms of J, a and r. 4. For r = 2 a, calculate the numerical value of B in Tesla.
Cryomagnetics, Inc., advertises a highfield, superconducting solenoid that produces a magnetic field of17 T with a current of 105 A. What is the number of turns per meterin this solenoid?
A circular ring formed from a conducting wire, with a diameter of 0.60 [m], is passed through by a current of 12 [A]. What is the value of the magnetic flux density produced in the center of the ring? What is the value of the magnetic flux density at a point on the axis of the ring at a distance of 3.0 [cm]?3.0 [cm] from the center?
Figure shows a cross section of a hollow cylindrical conductor of radii a and b, carrying a uniformly distributed current i. (a) What the equation of the magnetic field magnitude B(r) for the radial distance r in the range b < r < a (b) What is the magnetic field strength when r = a (c) What is the magnetic field strength when r = b (d) What is the magnetic field strength when b = 0
Suppose that a magnetic field in a certain region has components Bx = -ax, By = 0, Bz = az, where a is a constant. Is this possible if the region is empty space? If not, what must the magnitude and direction of the current density be in that region?
a strip of copper wire thickness 1mm carries currentt 10a in a magnetic field stranght B=1T. n=1*10^29 electrons per m^3, Whats the hall voltage?
A cube of edge length = 4 cm is positioned as shown in the figure below. There is a uniform magnetic field throughout the region with components Bx = 5 T, By = 4 T, and Bz = 3 T. (a) Calculate the flux through the shaded face of the cube. _____T*m2 b) What is the total flux emerging from the volume? ______T*m2
In the August 1992 space shuttle flight, only 250 m of theconducting tether considered in Example 23.2 could be letout. A 40.0 V motional emf was generated in the Earth’s5.00×10−5 T field, while moving at 7.80×103 m/s . Whatwas the angle between the shuttle’s velocity and the Earth’sfield, assuming the conductor was perpendicular to the field?