Consider a thin glass rod of radius R and length L carrying a uniform surfacecharge σ. It is set spinning about its axis at an angular velocity w.1. Find the direction of the magnetic field at a distances >> R from theaxis in the xy plane.2. Find the magnitude of the magnetic fiield at a distances > R fromthe axis in the xy plane. It is acceptable to provide the answer in anintegral form in this exam.Hint: Treat the glass rod as a stack of magnetic dipoles.FIGURE 5.66>L/2

Answered: Image /qna-images/answer/5f6defa4-9fd8-467f-bb48-6b1677a779a0.jpg

Answered: Consider a thin glass rod of radius R…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter11: Magnetic Forces And Fields

Section: Chapter Questions

Problem 83AP: The current loop shown in the accompanying figure lies in the plane of the page, as does the...

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Similar questions

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 circular loop of wire of area 10 cm2 carries a current of 25 A. At a particular instant, the loop lies in the xy-plane and is subjected to a magnetic field B=(2.0i+6.0j+8.0k)103T . As viewed from above the xy-plane, the current is circulating clockwise. (a) What is the magnetic dipole moment of the current loop? (b) At this instant, what is the magnetic torque on the loop?
Repeat the previous problem, but with the loop lying flat on the ground with its current circulating counterclockwise (when viewed from above) in a location where Earth’s field is north, but at an angle 45.0° below the horizontal and with a strength of 6.0105T.
Consider the axial magnetic field Bv=0IR2/2(y2+R2)3/2 of the circular current loop shown below. (a) Evaluate aaBydy Also show that limaaaBydy=0I (b) Can you deduce this limit without evaluating the integral? (Hint: See the accompanying figure.)
At a particular instant an electron is traveling west to east with a kinetic energy of 10 keV. Earth's magnetic field has a horizontal component of 1.8105 T north and a vertical component of 5.0105 T down. (a) What is the path of the election? (b) What is the radius of curvature of the path?
A wire ismade into a circular shape of radius R and pivoted along a central support.The two ends of the sire are touching a banish that is connected to a &power source. The stricture is between the poles of a magnet such that we can assume there is a uniform magnetic field on the wire. In terms of a coordinate system with origin at the center ofthe ring, magneticfieldisBx=B0,By=Bz= 0. and the ring rotates about the z-axis. Find the torque on the ring siren it is not in the xz-plane.
What is the direction of the magnetic field that produces the magnetic force shown on the currents in each of the three cases, assuming B is perpendicular to I?
Is B constant in magnitude for points that lie on a magnetic field line?
What is the direction of the magnetic field that produces the magnetic force on a positive charge as shown in each of the three cases, assuming B is perpendicular to v?
The accompanying figure shows a long, straight wire carrying a current of 10 A. What is the magnetic force on an electron at the instant it Is 20 cm from tire wire, traveling parallel to the wire with a speed of 2.0105m/s ? Describe qualitatively the subsequent motion of the election, For this current, what is tire permeability of the iron? If the current is turned off and then restored to 10 A, will the magnetic field necessarily return to 2.0 T?
Consider the disk in the previous problem. Calculate tlie magnetic field at a point on its central axis that is a distance y above tlie disk,
Check Your Understanding The wire loop forms a full circle of radius R and current I. What is the magnitude of the magnetic field at the center?

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