Suppose you wish to produce a 1-T magnetic field in a toroid with an iron core for which magnetic susceptibility is x = 3 x 10³. The toroid has a mean radius of 14 cm and is wound with 600 turns. Hint a. What current is required to produce this magnetic field in the iron core? Current of A is needed. b. For comparison, what current is required to produce the same magnetic field in an air-filled toroid of same geometry? Current of A is needed for toroid with no iron core. While it is not always practical to have region of magnetic field filled with ferromagnetic materials, this dramatic increase in strength of magnetic field produced is useful in some applications you will see in upcoming chapters.

Suppose you wish to produce a 1-T magnetic field in a toroid with an iron core for which magnetic susceptibility is x = 3 x 10³. The toroid has a mean radius of 14 cm and is wound with 600 turns. Hint a. What current is required to produce this magnetic field in the iron core? Current of A is needed. b. For comparison, what current is required to produce the same magnetic field in an air-filled toroid of same geometry? Current of A is needed for toroid with no iron core. While it is not always practical to have region of magnetic field filled with ferromagnetic materials, this dramatic increase in strength of magnetic field produced is useful in some applications you will see in upcoming chapters.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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

**Magnetic Field in a Toroid with an Iron Core**

Suppose you wish to produce a 1-T magnetic field in a toroid with an iron core, for which the magnetic susceptibility is \( \chi = 3 \times 10^3 \). The toroid has a mean radius of 14 cm and is wound with 600 turns.

**Questions:**

a. **What current is required to produce this magnetic field in the iron core?**

- Current of [ ______ ] A is needed.

b. **For comparison, what current is required to produce the same magnetic field in an air-filled toroid of the same geometry?**

- Current of [ ______ ] A is needed for a toroid with no iron core.

**Note:**
While it is not always practical to have regions of magnetic field filled with ferromagnetic materials, this dramatic increase in the strength of the magnetic field produced is useful in some applications you will see in upcoming chapters.

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