Having trouble with Helmholtz Coil Experiment Calculations

[Darthturkey]

Homework Statement

Number of wraps of coil on magnetic moment in field: 100 - N_c
Number of wraps of coil on Helmholtz coil: 140 - N_h
Current through magnetic moment: .796A - I_c
Area of magnetic moment: .37m - A_c
Radius of Helmholtz coil: .1635m - R_h
Current through Helmholtz coil to attain equilibrium on balance: 1.32, 2.61,3.91 corresponding to gravitational torques caused by counterweights that are .255m away, .0001g,.0002g,.0003g

Homework Equations

Bh=(8u_0*N_h*I_h)/(5^(3/2) * R_h)
as well as T_m = B_h * N_c*I*A_c

The Attempt at a Solution

I calculated the three torques both gravitational as well as magnetic based on the formulas provided above. Each time I received an answer that was a magnitude of 100 apart. Based on my thinking the T_g and T_m should be equal as the magnetic torque should balance out the gravitational torque. I have checked to make sure all of my units are in SI and I still cannot determine why I am not getting the calculations that I should. I also cannot make heads or tails of how the Area of the magnetic moment within the field should have a vector and if it does, how to describe its orientation in space.

 

[mfb]

Do you get "exactly" 100 as factor between the answers? This would hint to some conversion errors, or a missing factor of N_c somewhere.
If the factor is 125, the factor of 5^(3/2) is in the wrong part of the fraction.
Can you show your calculations? I don't see an obvious error here. I think the prefactor 8/(5^(3/2)) is given somewhere?

A notation like "100 - N_c" is confusing, this looks like a subtraction. Why don't you write 100 = N_c, or (better) N_c = 100?