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I don't quite understand why the 1' by 1' didn't work, maybe somebody with a better understanding of magnetics could explain it.
I went out today and bought some rare earth magnets to test them. I bought some that were 1" by 1" and some that were 1/2" by 1/2". I first tried the 1" by 1" as that would replicate the two magnets that Brian described. Didn't uncouple the cars. I then put the two 1/2" by 1/2" together making a magnet that was 1/2" by 1". The 1" dimension was placed at 90 degrees to the rail. This worked exceedingly well. I don't quite understand why the 1' by 1' didn't work, maybe somebody with a better understanding of magnetics could explain it. The test also demonstrated two other factors to me. One Brian is absolutely correct about placing the magnets 1/16" inch below the rails. These are strong magnets. I covered the magnets with a strip of 1/16" styrene and it didn't affect their performance whatsoever and leveled out the track. Second, I had one car which kept uncoupling when I was pulling the cars through the magnet as if I was leaving the siding. Upon examination I discovered that the gladhand on that car was marginally lower than the other three I was testing. Looks like I will have to add another test to my car standards to ensure that the gladhands are all at the requisite height. (i.e. not just rail clearance). PS: I really appreciate all the insights that the rest of you have been sharing.
I covered the magnets with a strip of 1/16" styrene and it didn't affect their performance whatsoever and leveled out the track.
3 - Use an electromagnet.