How do magnetic fields interact?

[dfx]

Hello,
I was wondering, how exactly do magnetic fields interact? Say if you have 2 permanent magnets, 1 perhaps of 0.3T and another of 0.5T and you let the N and S attract so they clamp together, would the resulting field of the combination have 0.5T on both ends (i.e. would the surplus 0.2T because of the "neutralized" 0.3T enhance the weaker pole? I realize it's an unconventional and perhaps incorrect way of thinking about magnets, but just curious:

S[0.3T]N + S[0.5T]N = S[0.5T]N ?

 

[mfb]

Most permanent magnets don't have very uniform magnetic fields, "a 0.5 T magnet" is not a well-defined thing. Neglecting the influence of the magnets on each other you can simply add the field values the magnets have at their poles. That works well up to ~1 T for permanent magnets, afterwards things get more complicated.