Answered: Example: Magnetic flux density inside…

Example: Magnetic flux density inside an infinitely long solenoid (a) As a direct application of Ampère's circuital law B field must be parallel to the axis (Why?) No magnetic field outside (Why?) -

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter23: Faraday’s Law And Inductance

Section: Chapter Questions

Problem 48P

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Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

1. The reason that B field must be parrallel

2. The reason there should be no magnetic field outside

●
Example: Magnetic flux density inside an infinitely long solenoid
(a) As a direct application of Ampère's circuital law
B field must be parallel to the axis (Why?)
- No magnetic field outside (Why?)
BL=μ₂nLI ⇒ B = μ₂nI
(n: number of wound turns per unit length)
-
(b) As a special case of toroid
N
B = H₂
2πb
I = μ₂nl

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