Prob.5 (25 Point) A long straight nonmagnetic conductor of 0.3 mm radius carries a uniformly distributed...
3-28. A very long, nonmagnetic conductor (,-) of radius a carries the static current I as shown. The conductor is surrounded by a cylindrical sleeve of nonconducting magnetic material with a thickness extending from ρ-; a top-b and the permeability μ. The surrounding region is air. (a) Make use of symmetry and Ampère's law (3-66) to find H and B in the three regions (Label the closed lines employed in the proof, depicting H in the proper sense on each...
A long, hollow, cylindrical conductor (inner radius 8.0 mm, outer radius 16.0 mm) carries a current of 14 A distributed uniformly across its cross section. A long thin wire that is coaxial with the cylinder carries a current of 14 A in the opposite direction. What is the magnitude of the magnetic field at the following distances from the central axis of the wire and cylinder? (a) 4.0 mm 0.00071 (b) 12.0 mm 0.0002333 X T (c) 20.0 mm 0.00014...
A long, hollow, cylindrical conductor (inner radius 2.0 mm, outer radius 4.0 mm) carries a current of 49 A distributed uniformly across its cross section. A long thin wire that is coaxial with the cylinder carries a current of 55 A in the opposite direction. What is the magnitude of the magnetic field (a) 1.2 mm. (b) 2.1 mm, and (c) 4.0 mm from the central axis of the wire and cylinder?
A long, hollow, cylindrical conductor (inner radius 3.4 mm, outer radius 4.6 mm) carries a current of 49 A distributed uniformly across its cross section. A long thin wire that is coaxial with the cylinder carries a current of 52 A in the opposite direction. What is the magnitude of the magnetic field (a) 1.0 mm, (b) 3.5 mm, and (c) 5.3 mm from the central axis of the wire and cylinder? Number Units Number Units Number Units
A hollow, circular cylindrical conductor in freespace of infinite length. The inner and outer radius are b and c respectively, from the center z axis. It carries a current I in z direction. (a) Find the vector current density J. (b) Use Ampere's Law to find the magnetic field B and H outside the conductor(r>c). (c) Find B inside the hollow interior(r<b). (d) Find B in the conductor(b<r<c).
An infinitely long, straight conductor with a circular cross-section of radius b carries a steady current I. (a) Determine the magnetic flux density (B) both inside and outside the conductor. (b) Determine the vector magnetic potential (A) both inside and outside the conductor from the relationship B V x A
An infinitely long, straight conductor with a circular cross-section of radius b carries a steady current I. (a) Determine the magnetic flux density (B) both inside and outside the conductor....
5-15 Exercises: 5.16. A very long, straight conductor located along the z axis has a circular cross section of radius 10 cm. The conductor carries 100 A in the z direction which is uniformly distributed over its cross section. Find the magnetic field intensity (a) inside the conductor and (b) outside the conductor. Sketch the magnetic field intensity as a function of the distance from the center of the conductor. 5-15 Exercises: 5.18. A fine wire wound in the form of...
5. A long solid right circular cylinder of radius carries a current I, which is uniformly distributed. Find the magnetic field everywhere, both inside and outside the cylinder.
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I) )A solid insulating sphere of radius a carries a net positive charge density 3p uniformly distributed throughout its volume. A conducting spherical shell of inner radius 2a and outer radius 3a is concentric with the solid sphere and carries a net charge density-22 Using Gauss's law, find the electric field everywhere. Sketch the electric field 2) "A) The current density in a cylindrical wire of radius R meters is uniform across a cross section of the...
4. (25 points) A hollow conducting pipe has an inner radius of 2a/5 and an outer radius of a. The cross section is as shown below. It carries a current of magnitude Iwith uniform current density within the conductor material. Using Ampere's Law, find the magnetic field magnitude in each region as a function of radius (in the cavity contained within the pipe, within the pipe itself, and outside the pipe). Sketch a graph of the magnetic field magnitude as...