how does the strength of the magnet change along its length
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Length is directly proportional to the magnet strength, as a result increase length then magnetic strength inc.
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There is a relation between magnetic pole strength,magnetic length, current and area of cross-section of a magnet. According to this relation, when a bar magnet is cut into two halves along its length, area of cross-section become half. ... A bar magnet of magnetic moment M is cut into two parts of equal length.
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