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A magnetic dipole with a dipole moment of magnitude 0.0205 J/Tisreleased from rest in a uniform magnetic field of magnitude56.3mT. The rotation of the dipole due to the magnetic force on itisunimpeded. When the dipole rotates through the orientationwhereits dipole moment is aligned with the magnetic field, itskineticenergy is 0.668 mJ. (a) What is the initialanglebetween the dipole moment and the magneticfield?(b) What is the angle when the dipole isnext(momentarily) at rest?

Note: These values are different from the one' in thetextbook.

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Nelly Stracke
Nelly StrackeLv2
21 Sep 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

Consider an electric dipole whose dipole moment (a vector pointing from the negative charge to the positive charge) is oriented at an angle  with respect to the y-axis. There is an external electric field of magnitude E  (independent of the field produced by the dipole) pointing in the positive y-direction. The positive and negative ends of the dipole have charges +q and -q, respectively, and the two charges are a distance d apart. The dipole has a moment of inertia I about its center of mass. It will help you to imagine that the dipole is free to rotate about a pivot through its center.

A) What is the net force   that the dipole experiences due to the electric field?

B) What is   , the magnitude of the torque that the electric field exerts about the center of mass of the dipole?

C) Using the above result, find the potential energy associated with the dipole's orientation in the field as a function of the angle    shown in the figure. Take the zero of the potential to occur when the dipole is at angle   ; that is  , .

D) In terms of the dipole moment   , What is the expression for the torque on a dipole in the field  ?

E) In terms of the dipole moment, What is the expression for the potential energy of a dipole in the field?

 

 

An electron with kinetic energy Ke travels in acircular path that is perpendicular to a uniform magnetic field,which is in the positive direction of the z-axis. The electronsmotion is subject only to the force due to the field. (a) show thatthe magnetic dipole moment of the electron due to it's orbitalmotion has magnitude μ0=Ke/B and that it isin the direction opposite that of B. What are the (b) magnitude and(c) direction of the magnetic dipole moment of the positive ionwith kinetic energy Ki under the same circumstances?(d)An ionized gas consists of 5.3*10^21 electrons/m3 andthe same number density of ions. Take the average kinetic energy tobe 6.2*10^-20 J and the average ion kinetic energy to be 7.6*10^-21J. Calculate the magnetization of the gas when it is in a magneticfield of 1.2 T.

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