Calculate Magnetic Field from Current on a Loop of Wire

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SUMMARY

The discussion focuses on calculating the magnetic field (B) at a specific point along the axis of a circular wire loop carrying a current. A loop with a radius of 3 cm and a current of 2.4 A is analyzed, with the magnetic field calculated using the formula B = (μ0 * I) / (2 * R) at the center and B = (μ0 / 4π) * (2πR² * I) / (z² + R²)^(3/2) for points off-center. The user initially calculated B at 1 cm from the center as 4.2357797e-4 T but found this result incorrect, indicating a potential error in the application of the formula.

PREREQUISITES
  • Understanding of magnetic fields and current-carrying conductors
  • Familiarity with the Biot-Savart Law
  • Knowledge of the constants involved, specifically μ0 (permeability of free space)
  • Basic algebra for manipulating equations and substituting values
NEXT STEPS
  • Review the Biot-Savart Law for calculating magnetic fields from current distributions
  • Learn about the implications of varying distances (z) from the center of the loop on magnetic field strength
  • Explore the concept of magnetic field lines and their visualization around current-carrying loops
  • Investigate the effects of changing current and loop radius on the magnetic field
USEFUL FOR

Students studying electromagnetism, physics enthusiasts, and anyone involved in electrical engineering or related fields who seeks to understand magnetic fields generated by current-carrying loops.

fball558
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magnetic field ??

Homework Statement



A single loop of wire of radius 3 cm carries a current of 2.4 A. What is the magnitude of B on the axis of the loop at the following position?
1 cm from the center



Homework Equations



Uo/4(pi) * (2(pi)R^2 *I) / (z^2 + R^2)^(3/2)

where Uo is 4(pi) X 10^-7

The Attempt at a Solution



i just pluged in values
R = .03 m
z = .01 m
I = 2.4 A

i got 4.2357797e-4 T but that is wrong??
does anyone see something that I am doing wrong?
any help would be great!
 
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for x = 0 (at center of loop)

B = (μ0)*(I)/(2*R)

don't know how to get b, c, or d yet though.
 

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