Solved Problems in Classical Electromagnetism by Jerrold Franklin

Author:Jerrold Franklin
Language: eng
Format: epub
Publisher: Courier Publishing
Published: 2018-03-20T16:00:00+00:00

so This is because the large d limit of the magnetic field is determined by the magnetic dipole moment of each loop. The dipole moment is proportional to the area of the loop (see later problems), which is smaller for the inscribed circle.

6.Two circular current loops of radius R, each carrying a current I (in the same direction), are a distance L apart on the same axis, as shown below.

(a)Find the magnetic field on the z-axis between the loops.

(b)Show that the first derivative vanishes at z = 0.

(c)Find the ratio of L/R for which the second derivative vanishes at z = 0. (This combination of loops is called Helmholtz coils, which are used to provide a relatively constant field between the coils.)

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