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2. A coaxial cable with the central wire of radius a is surrounded by a conducting tube with inner radius b and outer radius c. The central wire and the tube carry equal currents I in opposite directions. The currents are distributed uniformly over the cross sections of each conductor. Using Ampere's law, find the magnetic field B (a) Inside the wire (0

2. A coaxial cable with the central wire of radius a is surrounded by a conducting tube with inner radius b and outer radius c. The central wire and the tube carry equal currents I in opposite directions. The currents are distributed uniformly over the cross sections of each conductor. Using Ampere's law, find the magnetic field B (a) Inside the wire (0

University Physics Volume 1
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 21CQ: What is wrong with the following expressions? How can you correct them? (a) C=AB , (b) C=AB , (c)...
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2. A coaxial cable with the central wire of radius a is surrounded by a conducting tube with inner radius b and outer radius c. The central wire and the tube carry equal currents I in opposite directions. The currents are distributed uniformly over the cross sections of each conductor. Using Ampere's law, find the magnetic field B (a) Inside the wire (0<r<a); (b) In-between the wire and the tube (a<r<b); (c) Inside the tube (b<r<c). (Hint: B2лr=μolin.) (d) Using the fact that the flux of the B field through a rectangle of length 1 and width c between the wire axis and the tube is س=√B•dS=LI, find the self-inductance per unit length L/ of this coaxial cable. a
Transcribed Image Text:2. A coaxial cable with the central wire of radius a is surrounded by a conducting tube with inner radius b and outer radius c. The central wire and the tube carry equal currents I in opposite directions. The currents are distributed uniformly over the cross sections of each conductor. Using Ampere's law, find the magnetic field B (a) Inside the wire (0<r<a); (b) In-between the wire and the tube (a<r<b); (c) Inside the tube (b<r<c). (Hint: B2лr=μolin.) (d) Using the fact that the flux of the B field through a rectangle of length 1 and width c between the wire axis and the tube is س=√B•dS=LI, find the self-inductance per unit length L/ of this coaxial cable. a
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