Problem 10. A circular loop of radius a and area S carries current i. The loop is at the origin and lies in the xy plane Calculate the magnetic field at any point on the z axis using the Biot-Savart law. Show that it is proportional to the mag- netic moment of the loop, |m = iS, and falls off as z3 if z a

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Problem 10. A circular loop of radius a and area S carries
current i. The loop is at the origin and lies in the xy plane
Calculate the magnetic field at any point on the z axis using
the Biot-Savart law. Show that it is proportional to the mag-
netic moment of the loop, |m = iS, and falls off as z3 if
z a
Transcribed Image Text:Problem 10. A circular loop of radius a and area S carries current i. The loop is at the origin and lies in the xy plane Calculate the magnetic field at any point on the z axis using the Biot-Savart law. Show that it is proportional to the mag- netic moment of the loop, |m = iS, and falls off as z3 if z a
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