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)...

See similar textbooks

Similar questions

Problem 4. R BA m Ꮎ N turns, carrying I A circular loop of wire with radius R, N turns, and total mass M carries a current I. It is pivoted about a line that passes through the loop as shown, then placed in a uniform magnetic field B = Bỏ2 so that its magnetic moment makes an initial angle of 0 << with the z-axis at time t = 0, and is then released. Describe its small-angle motion quantitatively. Note well that this arrangement has no angular momentum to speak of and will not precess!
A straight infinite current-carrying wire is bent into the form shown in the Figure. The curve is a semicircle of radius a. The magnitude of the magnetic field point P (in tesla) is: 'n Reguit oneindige stroomdraende geleier is gebuig in die vorm soos getoon in die Figuur. Die kromme is 'n halfsirkel met radius a. Die grootte van die magneetveld by punt P (in tesla) is: A. (5.14 x 10-7) I/a B. (7.14 x 10-7) I/a O C. (2.0 x 107) I/a D. (4.0 x 107) I/a E. (πx 10-7) I/a
A positron is a particle very similar to an electron, but possesses a positive charge rather than a negative charge (among a few other differ ences). A positron moves toward the top of the page, through a region containing a magnetic field pointing out of the page as shown to the left. What is the direction of the force on the positron? (Give your answer in terms of toward the top, bottom, left, right, into, or out of the page.)
A wire lies on a horizontal surface in the xy plane. Suppose that one end of the wire is at the origin while the other end is located at (5,6) and the wire follows a parabolic path from one end to another. If the wire is carrying a current of 2 A and a magnetic field of 0.1 T directed vertically downward is present, calculate the magnetic force and the magnetic force strength that acts on the wire.
A conducting rod is free to move along 2 parallel conducting rails. On one end a resistor, R, connects the two rails which forms a circuit. The rails are oriented along the y axis of a coordinate system. There is a constant magnetic B aligned with the z axis making it perpendicular to the plane of the rails and rod. If the rod is given an initial velocity of vo, and hence a kinetic energy of m*vo2 /2, mathematically demonstrate that as the rod rounds to a stop in an infinite time the power lost in the resistor as heat is equal to the initial kinetic energy.
A long cylindrical write with a radius a and length L has a current density of J = jor3/2 clearly show how to derive the enclosed current density, the magnetic field inside (show amperian loop), and the magnetic field outside (show amperian loop)
can you please help me with part (e)
Here we have a wire with current I=3.6 A pointing out of the page. Let's draw an Amperian path around that wire as shown in the picture belwo, with side length d=0.4 m and direction indicated by the arrows. What is the magnitude of the quantity ∮B⃗ ⋅dℓ⃗ for that Amperian path, in T*m?
Consider an infinite hollow conducting cylinder of inner radius R and outer radius 3R, as shown in the image. The non-uniform current density J is out of the page and varies with distance r from the center as J = J0 r (ˆk) where J0 is a positive constant. Calculate the magnetic field at point P (r = 2R) from the centre, (magnitude and direction). Sketch the Amperian loop.
In the Figure, the left current is 35 A into the paper, the right current is 20 A out of the paper, and each curve is a circular path. Find the result of the integral for ∮ B → . d s → for the path C 3, where the integral is taken with de counterclockwise. (Your result must be in multiples of 10 -6 T.m and include 1 digit after the decimal point. That means if you get a result of a 9.2 x 10 -6 just type 9.2 in the answer box. Maximum of 2% of error is accepted in your answer. Take vacuum permeability µ 0 = 4π x 10 -7 T /A 2 and π=3.14.)
two conductor bars on a pair of conductor rails in magnetic field B to the right as shown in the figure. and to the left with u/2 and u velocities, respectively. On closed circuit Find the induced voltage. (The moving sticks are in the same position at time t=0.)
Consider an ideal solenoid which has uniform magnetic field B (5 T) to the direction from +Y to -Y axis. If you imagine a rectangular shape Amperian loop (5 cm length, 4 cm width) inside the solenoid, what would be the total magnetic field created in the Amperian loop. (Tips: Imagine the whole scenario, draw it and apply the law). Don,t copy from anywhere. Do all calculation step by step .Answer Must be correct.Read question all step.