Theory of the Brossel-Bitter experi

It is not difficult to show (Problem 16.2) that the steady state solution of equation (16.2) may be written in the form 

This solution corresponds to a precession of the. magnetic dipole about the direction of the magnetic field at the Larmor angular frequency = yB with y inclined at some constant but arbitrary angle 6, as shown in Fig.16.3. 

Applying equation (16.4) to the rate of change of y given by equation (16.2), we have 

Thus the equation of motion in the rotating frame is identical to that in the laboratory frame when B is replaced by tlie effective field 

In particular if = yB then 3jj/9t = 0 and the magnetic moment is at rest in the rotating frame, thus confirming the solution of the equation of motion given by equation (16.3). 

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