Please show all work and explain thought process. WIll post parts 2 and 3 of thi

Question

Please show all work and explain thought process. WIll post parts 2 and 3 of this questions once this part is answered.

This problem works through a simple classical model of diamagnetic materials. Being classical, it is not correct in detail, but it explains the phenomenon of diamagnetism, gets the right orders of magnitude, and (with the modification that you replace the ring with a 3D wave function) is closely related to the correct quantum description of the phenomenon. This problem Ls best worked in cylindrical coordinates. See Figure 1 for the geometry. Let's consider a particle of mass mc and charge qc confined to a ring of radius a with no friction. (The particle here will represent an electron, and the ring represents one of those old-style models of the atom: a will be a number of the order of atomic dimensions.) The ring is placed such that its axis of symmetry is along the z-axis, and a student moves it up or down along the z-axis as a function of time z = Z(t). An axisymmetric magnetic field is created externally (say, by a solenoid) that varies on a scale much larger than a. By "axisymmetric." we mean that its components can be written in terms of z and s, and not : i.e. Bz(z, s), Bs(z, s). and B (z, s). The particle is initially stationary and is in a region with negligible magnetic field (B ap 0). Show that the z-component of the magnetic moment of the loop is (1) In order to figure out the magnetic response of the particle, we're going to have to figure out the force on it. Show that the component of the force on the particle is where the radial component of the magnetic field is measured at radius a.

Explanation / Answer

Hi,

Here are the solutions:

Part (a)

https://drive.google.com/file/d/0BzsApW5yffhsYnFzV3FZRWxydk0/edit?usp=sharing

Part (b)

https://drive.google.com/file/d/0BzsApW5yffhsclBmQkU5Q0J5Zm8/edit?usp=sharing

Cheers,

Saurav

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.