A current-carrying wire has the maximum magnetic force in it when it is placed in a constant magnetic field when

Maximum magnetic force on current carrying wire when wire is placed at 90 degree with magnetic field

Explanation:

As we know that the magnetic force on current carrying conductor is given as

here we have

here we know that

= angle between length vector and magnetic field vector

so if we would like to have maximum magnetic force on the current carrying wire then

so we have

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