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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F60e68ff4-22a2-4e98-a0f4-eebc4391bef9%2F5809a165-5e2d-4104-a2ea-a36a394e3893%2Fipzyfwa.png&w=3840&q=75)
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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