Calculate Magnetic Field from Current on a Loop of Wire

AI Thread Summary
The discussion focuses on calculating the magnetic field (B) at a point along the axis of a current-carrying loop of wire. A user attempts to apply the formula B = (μ0/4π) * (2πR^2 * I) / (z^2 + R^2)^(3/2) but arrives at an incorrect value of 4.2357797e-4 T. The user correctly identifies the parameters: radius (R) as 0.03 m, distance from the center (z) as 0.01 m, and current (I) as 2.4 A. They also mention a simpler formula for B at the center of the loop, but seek assistance for calculating values at other positions. Clarification on the application of the formula and potential errors in calculations is requested.
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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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