The magnetic field B due to a small current loop (which we place at the origin) is called a magnetic dipole (Figure ). Let p = (x2 + y² + z²)'/2. For p large, B = curl(A), where A = (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. Current loop FIGURE

The magnetic field B due to a small current loop (which we place at the origin) is called a magnetic dipole (Figure ). Let p = (x2 + y² + z²)'/2. For p large, B = curl(A), where A = (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. Current loop FIGURE