The magnetic field B due to a small current loop (which we place at the origin) is

Chapter 17, Problem 20

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The magnetic field B due to a small current loop (which we place at the origin) is called a magnetic dipole (Figure 18). Let = (x2 + y2 + z2)1/2. For large, B = curl(A), where A = y 3 , x 3 , 0 (a) Let C be a horizontal circle of radius R with center (0, 0,c), where c is large. Show that A is tangent to C. (b) Use Stokes Theorem to calculate the flux of B through C.

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