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.

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

Chapter22: Magnetic Forces And Magnetic Fields

Section: Chapter Questions

Problem 24P: A current loop with magnetic dipole moment is placed in a uniform magnetic field , with its moment...

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A current loop with magnetic dipole moment is placed in a uniform magnetic field , with its moment making angle θ with the field. With the arbitrary choice of U = 0 for θ = 90°, prove that the potential energy of the dipole-field system is .
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) Part A The magnitude of the magnetic field inside the toroid varies as a function of which parameters? ► View Available Hint(s) r only 0 only both r and Submit Part B Complete previous part(s) Part C Complete previous part(s) Part D In an ideal toroid, current would flow only in the and directions. The magnetic field in the central plane, outside of the coils of…
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