The force on a magnetic moment with z component z moving in an inhomogeneous magnetic field

The force on a magnetic moment with z component μ_z moving in an inhomogeneous magnetic field is given by Equation 7-51. If the silver atoms in the Stern- Gerlach experiment traveled horizontally 1 m through the magnet and 1 m in a field-free region at a speed of 250 m/s, what must have been the gradient of B_z, dB_z /d_z, in order that the beams each be deflected a maximum of 0.5 mm from the central, or no-field, position?

Transcribed Image Text:

|J| = Vj(j+1)ħ 7-51