A toroid with a square cross-section has an inner radius of 20 cm and an outer radius of 30 cm and consists of 800 turns. Determine the ratio of the magnetic field strength at the inner radius to the magnetic field strength at the outer radius Binner/Bouter.

A toroid with a square cross-section has an inner radius of 20 cm and an outer radius of 30 cm and consists of 800 turns. Determine the ratio of the magnetic field strength at the inner radius to the magnetic field strength at the outer radius Binner/Bouter.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter12: Sources Of Magnetic Fields

Section: Chapter Questions

Problem 57P: A toroid with a square cross section 3.0cm3.0cm has an inner radius of 25.0 cm. It is wound with 500...

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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.

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The magnetic field strength at the inner radius can be given by

$B_{i n n e r} = \frac{μ_{0} I N}{2 π r_{i n}}$

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