Magnetic Field Due to a Circular Loop

AI Thread Summary
The discussion focuses on calculating the magnetic field at the center of a circular loop of wire with a radius of 0.0584 m carrying a current of 9.68 A. Participants clarify that the formula B = (μ*I)/(2π*r) is not applicable for the loop due to its configuration, as it is meant for straight wires. Instead, the correct approach involves using the Biot-Savart law to account for the entire loop's geometry. The need to consider the total length of the wire in the calculation is emphasized. Accurate determination of the magnetic field requires proper application of these principles.
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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