The magnitude of the force on a magnetic dipole μ→ aligned with a nonuniform magnetic field in the positive x direction is Fx = |μ→| dB/dx. Suppose two flat loops of wire each have radius R and carry a current I. (a) The loops are parallel to each other and share the same axis. They are separated by a variable distance x >> R. Show that the magnetic force between them varies as 1/x4. (b) Find the magnitude of this force, taking I = 10.0 A, R = 0.500 cm, and x = 5.00 cm.
The magnitude of the force on a magnetic dipole μ→ aligned with a nonuniform magnetic field in the positive x direction is Fx = |μ→| dB/dx. Suppose two flat loops of wire each have radius R and carry a current I. (a) The loops are parallel to each other and share the same axis. They are separated by a variable distance x >> R. Show that the magnetic force between them varies as 1/x4. (b) Find the magnitude of this force, taking I = 10.0 A, R = 0.500 cm, and x = 5.00 cm.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The magnitude of the force on a magnetic dipole μ→ aligned with a nonuniform magnetic field in the positive x direction is Fx = |μ→| dB/dx. Suppose two flat loops of wire each have radius R and carry a current I. (a) The loops are parallel to each other and share the same axis. They are separated by a variable distance x >> R. Show that the magnetic force between them varies as 1/x4. (b) Find the magnitude of this force, taking I = 10.0 A, R = 0.500 cm, and x = 5.00 cm.
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