A toroid is a solenoid bent into the shape of a doughnut. Itlooks similar to a toy Slinky® with ends joined to make acircle. Consider a toroid consisting of N turns of a single wirewith current I flowing through it. (Figure 1)Consider the toroid to be lying in the re plane of a cylindricalcoordinate system, with the z axis along the axis of the toroid(pointing out of the screen). Let represent the angularposition around the toroid, and let r be the distance from theaxis of the toroid.For now, treat the toroid as ideal; that is, ignore thecomponent of the current in the direction.Figure00Ampèreanloop(a)1 of 1(b)CorrectNotice that the direction is antiparallel to the path shown by the Ampèrean loop in the figure. Also, by definition, ✩ × î = Ô.Part CWhat is B (r), the magnitude of the magnetic field inside the toroid and at a distance r from the axis of the toroid?Express the magnetic field in terms of I, μo (the permeability of free space), N, and r.► View Available Hint(s)SubmitΨΕ ΑΣΦPart DαVВ Y 8π P OФΣ Φ Y Ω ħ E€ n ᎾPrevious AnswersTXP PearsonKY≈سلمωB (r) =Your answer either contains an incorrect numerical multiplier or is missing one.No credit lost. Try again.X?μ

Answered: Image /qna-images/answer/b3a57cd9-2150-46c0-aeb6-9cdc3fc030a5.jpg

A toroid is a solenoid bent into the shape of a doughnut. It looks similar to a toy Slinky with ends joined to make a circle. Consider a toroid consisting of N turns of a single wire with current I flowing through it. (Figure 1) Consider the toroid to be lying in the re plane of a cylindrical coordinate system, with the z axis along the axis of the toroid (pointing out of the screen). Let represent the angular 0 position around the toroid, and let r be the distance from the axis of the toroid. For now, treat the toroid as ideal; that is, ignore the component of the current in the direction. Figure 10000 00 Ampèrean loop (a) 1 of 1 (b) Notice that the direction is antiparallel to the path shown by the Ampèrean loop in the figure. Also, by definition, Â xf = ô. ▾ Part C What is B (r), the magnitude of the magnetic field inside the toroid and at a distance r from the axis of the toroid? Express the magnetic field in terms of I, μo (the permeability of free space), N, and r. ▸ View Available Hint(s) IVE ΑΣΦ a By 8 € Submit V A π P ρ σ τ Σ Φ Ψ Ω n Previous Answers φ h 0K2μ y w x y κ E ? X B(r)= Your answer either contains an incorrect numerical multiplier or is missing one. No credit lost. Try again.

A toroid is a solenoid bent into the shape of a doughnut. It looks similar to a toy Slinky with ends joined to make a circle. Consider a toroid consisting of N turns of a single wire with current I flowing through it. (Figure 1) Consider the toroid to be lying in the re plane of a cylindrical coordinate system, with the z axis along the axis of the toroid (pointing out of the screen). Let represent the angular 0 position around the toroid, and let r be the distance from the axis of the toroid. For now, treat the toroid as ideal; that is, ignore the component of the current in the direction. Figure 10000 00 Ampèrean loop (a) 1 of 1 (b) Notice that the direction is antiparallel to the path shown by the Ampèrean loop in the figure. Also, by definition, Â xf = ô. ▾ Part C What is B (r), the magnitude of the magnetic field inside the toroid and at a distance r from the axis of the toroid? Express the magnetic field in terms of I, μo (the permeability of free space), N, and r. ▸ View Available Hint(s) IVE ΑΣΦ a By 8 € Submit V A π P ρ σ τ Σ Φ Ψ Ω n Previous Answers φ h 0K2μ y w x y κ E ? X B(r)= Your answer either contains an incorrect numerical multiplier or is missing one. No credit lost. Try again.

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

A toroid is a solenoid bent into the shape of a doughnut. It
looks similar to a toy Slinky® with ends joined to make a
circle. Consider a toroid consisting of N turns of a single wire
with current I flowing through it. (Figure 1)
Consider the toroid to be lying in the re plane of a cylindrical
coordinate system, with the z axis along the axis of the toroid
(pointing out of the screen). Let represent the angular
position around the toroid, and let r be the distance from the
axis of the toroid.
For now, treat the toroid as ideal; that is, ignore the
component of the current in the direction.
Figure
00
Ampèrean
loop
(a)
1 of 1
(b)
Correct
Notice that the direction is antiparallel to the path shown by the Ampèrean loop in the figure. Also, by definition, ✩ × î = Ô.
Part C
What is B (r), the magnitude of the magnetic field inside the toroid and at a distance r from the axis of the toroid?
Express the magnetic field in terms of I, μo (the permeability of free space), N, and r.
► View Available Hint(s)
Submit
ΨΕ ΑΣΦ
Part D
α
V
В Y 8
π P O
Ф
Σ Φ Y Ω ħ E
€ n Ꮎ
Previous Answers
T
X
P Pearson
K
Y
≈
سلم
ω
B (r) =
Your answer either contains an incorrect numerical multiplier or is missing one.
No credit lost. Try again.
X
?
μ

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