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Force on a Finite Wire

A straight ho...

Question

A straight horizontal wire of mass 10 mg and length 1.0 m carries a current of 2.0 A. What minimum magnetic field B should be applied in the region so that the magnetic force on the wire may balance its weight ?

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Solution

mass = 10 mg = $10^{- 5} K g$

length = 1 m, i = 2A, B = ?

Now, mg = ilB

$\Rightarrow B = m g / i l = 4.9 \times 10^{- 5} T$

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