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Hey guys, I have recently performed a lab where we are to find the equation relating the magnetic field strength to a distance from a dipole in both the transverse and longitudinal direction. We did this using a Hall Effect Probe and a magnetic dipole.

What I found after plotting a Log Voltage (V) Vs. Log Distance (m) is a slope of -3, which represents an exponential power.

After doing some research, I found that the magnetic field strength will be inversely proportional to that of the distance, with a ratio of 1/x^3.

The relation between the slope and the cubed value makes me believe that there is a relationship and that I am on the right track. However, I am not exactly sure what to do from here, and I am not entirely sure as to how the relationship is formed.

Currently, I am tempted to use the formula:

Bn = m/x^2(1-L/2x)^2 and Bs = -m/x^2(1-L/2x)^2 to find the vector sum so that I can use the electric field of from some distance x away, but I'm not sure what that value will even provide me.

If you could provide any information regarding the this relationship, or knowledge relative to this subject, I will be more than happy for your help.

EDIT: I am also wondering what a plot of the Voltage Vs Distance^-3 (x^-3) on a linear graph would produce... If Y = mx + b is found from this graph, will this lead me to the formula as well? I'm still confused.

Aaaand I realized that I did not post this to the homework sub-forum. Sorry everybody.

What I found after plotting a Log Voltage (V) Vs. Log Distance (m) is a slope of -3, which represents an exponential power.

After doing some research, I found that the magnetic field strength will be inversely proportional to that of the distance, with a ratio of 1/x^3.

The relation between the slope and the cubed value makes me believe that there is a relationship and that I am on the right track. However, I am not exactly sure what to do from here, and I am not entirely sure as to how the relationship is formed.

Currently, I am tempted to use the formula:

Bn = m/x^2(1-L/2x)^2 and Bs = -m/x^2(1-L/2x)^2 to find the vector sum so that I can use the electric field of from some distance x away, but I'm not sure what that value will even provide me.

If you could provide any information regarding the this relationship, or knowledge relative to this subject, I will be more than happy for your help.

EDIT: I am also wondering what a plot of the Voltage Vs Distance^-3 (x^-3) on a linear graph would produce... If Y = mx + b is found from this graph, will this lead me to the formula as well? I'm still confused.

Aaaand I realized that I did not post this to the homework sub-forum. Sorry everybody.

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