Magnetic Field Due to a Circular Loop

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SUMMARY

The discussion focuses on calculating the magnetic field at the center of a circular loop with a radius of 0.0584 m carrying a current of 9.68 A. The initial formula used, B = (μ*I)/(2π*r), is incorrect for this scenario as it applies to straight wires. The correct approach involves using the Biot-Savart Law, which accounts for the entire loop's geometry and current distribution to determine the magnetic field accurately.

PREREQUISITES
  • Understanding of Biot-Savart Law
  • Familiarity with magnetic field calculations
  • Knowledge of current-carrying conductors
  • Basic principles of electromagnetism
NEXT STEPS
  • Study the application of the Biot-Savart Law in circular loops
  • Learn how to derive the magnetic field for different geometries of current-carrying wires
  • Explore the effects of straight wire sections on magnetic fields
  • Investigate the relationship between current, radius, and magnetic field strength
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Physics students, electrical engineers, and anyone interested in electromagnetism and magnetic field calculations.

JamesL
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"A conductor consists of a circular loop of radius .0584 m and straight long sections. The wire lies in the plane of the paper and carries a current of 9.68 A.

Determine the magnitude of the magnetic field at the center of the loop. Answer in units of T."

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Perhaps I am not taking into account the long straight sections, but i believed that they did not affect the mag field at the center of the loop, correct?

Anyway,

using B = (u*I)/(2*pi*r), i got an incorrect answer. is this formula incorrect?
 
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The formula you used applies for a straight wire and is thus incorrect.

You need to modify your formula by multiplying by the total length of wire around the loop.

Claude.
 
You might want to recall what you learned about Biot-Savart.
 

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