Let C be the Amperian Loop
We know that the angle between B and dl is acute inside the bar and hence is positive
> 0 (i.e. Positive) … (1)
Hence Lines of B run from South Pole (S) to North Pole(N) inside the bar magnet.
From (1) we know
has to be < 0
This can only happen is is negative.
This means that direction of B is from North Pole to South Pole outside the magnet.
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