Surface field vs pull force(attraction force) of multiple magnets?

AI Thread Summary
The discussion centers on the observation that multiple magnets can exhibit the same surface field while having varying pull forces. This discrepancy is attributed to differences in the size and dimensions of each magnet, which affect their overall magnetic strength. The pull force increases with the size of the magnet, despite the surface field remaining constant. Participants suggest plotting pull force against linear dimensions and cross-sectional area to analyze the relationship further. Understanding these factors is crucial for applications involving magnet selection and performance.
Phztastic
Messages
50
Reaction score
0
In the following "semi" table, is a group of magnets,
all seem to have the same Surface field but all different pull force(attraction/repulsive force at maximum with gap = 0).
How is it possibile to have the same S.field rate but different forces? Is it due to the size of each magnet?


Magnets Length Width Thickness Surface Field Pull Force
(Gauss) (lb)

B444 1/4 " 1/4 " 1/4 " 5754 4.25
B666 3/8 " 3/8 " 3/8 " 5754 10.07
B888 1/2 " 1/2 " 1/2 " 5754 18.71
BCCC 3/4 " 3/4 " 3/4 " 5754 40.59
BX0X0X0 1 " 1 " 1 " 5754 76.41
 
Physics news on Phys.org
X Y A B C D

X = Magnet
Y = Length"
A = Width"
B = Thickness"
C = Surface field (Gauss)
D = Pull force (lb)
 
Try plotting your pull force versus linear dimension and see what you get. How about pull force versus
cross sectional area?
 
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