The force on a magnetic dipole mu aligned with a nonuniform magnetic field in the x direction is given as: Fx = mu dB/dx. Consider two flat loops of wire each have radius R and carry current I. (a) The loops are coaxial and separated by a variable distance x, large compared with R. Show that the magnetic force between them varies as 1/x^4. (b) Find the magnitude of this force, when I = 10.0 A, R = 0.500 cm, and x = 5.00 cm.
The force on a magnetic dipole mu aligned with a nonuniform magnetic field in the x direction is given as: Fx = mu dB/dx. Consider two flat loops of wire each have radius R and carry current I. (a) The loops are coaxial and separated by a variable distance x, large compared with R. Show that the magnetic force between them varies as 1/x^4. (b) Find the magnitude of this force, when I = 10.0 A, R = 0.500 cm, and x = 5.00 cm.
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter30: Magnetic Fields And Forces
Section: Chapter Questions
Problem 88PQ
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The force on a magnetic dipole mu aligned with a nonuniform magnetic field in the x direction is given as: Fx = mu dB/dx. Consider two flat loops of wire each have radius R and carry current I. (a) The loops are coaxial and separated by a variable distance x, large compared with R. Show that the magnetic force between them varies as 1/x^4. (b) Find the magnitude of this force, when I = 10.0 A, R = 0.500 cm, and x = 5.00 cm.
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