In Problem 42, a formula for the magnetic field along the axis of a solenoid is given.
Question:
In Problem 42, a formula for the magnetic field along the axis of a solenoid is given. For x?>> ??and ??> R, the angles ?1 and ?2 in Equation 29-35 are very small, so the small-angle approximation cos ? ? 1 ? ?2/2 is valid.
(a) Draw a diagram and show that
(b) Show that the magnetic field at a point far from either end of the solenoid can be written
Where r1 = x?? ?? is the distance to the near end of the solenoid, r2 = x?+???is the distance to the far end, and qm = nIpR2 = ?/ l , where ? = NIpR2 is the magnetic moment of the solenoid.
Transcribed Image Text:
29-35 B = Honl(cos 0, - cos 0,) R and 02
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a The two angles 1 and 2 are shown in the figure of the preceding problem Note th...View the full answer
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