Converting magnetic field strength into a vectorial distance.

AI Thread Summary
The discussion revolves around calculating the distance from a magnetic solenoid to a sensor tool using magnetic field strength measurements from three magnetometers. The solenoid operates at a constant current of 0.75A, and the sensor collects data on magnetic field components (Bx, By, Bz) along with inclination and azimuth readings. The user seeks assistance in deriving the formula for converting these measurements into vectorial distance in both north/south and east/west directions. There is a suggestion for the user to include their attempts at a solution and relevant equations to facilitate better responses. Overall, the conversation highlights the complexity of the calculations involved in this magnetic field analysis.
ooD3mon
Messages
3
Reaction score
0
Hey guys,
I trying to work out this formula for work. We have a magnetic solenoid that is suspended a certain distance from a sensor tool. This sensor has 3 magnetometers that measure the field strength in Bx,By,Bz directions. The magnetic solenoid is run with a constant current of 0.75A. We have software that will take these values, along with the Ax,Ay,Az, Inclination and Azimuth readings and tell us the distance in N/S and E/W. eg: 10m N, 5m W.

I need to work out how this is calculated and was hoping someone here could be of assistance.
Cheers.
 
Physics news on Phys.org
anyone? maybe even just rough idea. I been trawling through the maths for 2 days now n can't seem to get anywhere.
 
hmm, well that's not very helpful is it. :\
 
The forum is usually pretty helpful, but you should include a attempt at your solution and relevant equations also. You'll be more likely to get a response.
 
This is from Griffiths' Electrodynamics, 3rd edition, page 352. I am trying to calculate the divergence of the Maxwell stress tensor. The tensor is given as ##T_{ij} =\epsilon_0 (E_iE_j-\frac 1 2 \delta_{ij} E^2)+\frac 1 {\mu_0}(B_iB_j-\frac 1 2 \delta_{ij} B^2)##. To make things easier, I just want to focus on the part with the electrical field, i.e. I want to find the divergence of ##E_{ij}=E_iE_j-\frac 1 2 \delta_{ij}E^2##. In matrix form, this tensor should look like this...
Thread 'Applying the Gauss (1835) formula for force between 2 parallel DC currents'
Please can anyone either:- (1) point me to a derivation of the perpendicular force (Fy) between two very long parallel wires carrying steady currents utilising the formula of Gauss for the force F along the line r between 2 charges? Or alternatively (2) point out where I have gone wrong in my method? I am having problems with calculating the direction and magnitude of the force as expected from modern (Biot-Savart-Maxwell-Lorentz) formula. Here is my method and results so far:- This...
Back
Top