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A square coil of edge l having n turns c...

A square coil of edge l having `n` turns carries a current `i` It is kept on a smooth horizontal plate.`A` uniform magnetic field `B` exists in a direction parallel to an edge.The total mass of the coil is `m`. What should be the minimum value of `B` for which the coil will start tipping over? Given that `mg=nil` (All physical quantities are in SI unit) ?

Text Solution

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` Edge = l, Current = I,`
`Turus = n, Mass = m,`
`Magnetic field = B`
`tau = mB sin 90^@ = mB`
Mean torque produced must be able to balance the torqua prodeced due to weight
Now ` tau = tau_(weight)`
`mil^(2) B = (mgl)/(2)`
`B = (mg)/(2 nil)` .
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