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The force on a magnetic dipole aligned with a non-uniform magnetic field in the x direction is given by Fx = |μ|dB/dx. Suppose that two flat loops of wire each have radius R and carry current I.
(a) The loops are arranged coaxially and separated by a variable distance x, large compared to R. Show that the magnetic force between them varies as 1/x4.
(b) Evaluate the magnitude of this force if I = 10.0 A, R = 0.500 cm, and x = 5.00 cm. |
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