A thin copper rod 1.0 m long has a mass of 0.050 kg and is in a magnetic field of 0.10 t. What minimum current in the rod is needed in order for the magnetic force to balance the weight of the rod?

Respuesta :

Answer:

[tex]i = 4.9 A[/tex]

Explanation:

Force on a current carrying rod due to magnetic field is given as

[tex]F = iLB[/tex]

here we know that

[tex]i = [/tex]current in the rod

[tex]B = 0.10 T[/tex]

[tex]L = 1.0 m[/tex]

now magnetic force is balanced by the weight of the rod

so we will have

[tex]iLB = mg[/tex]

[tex]i(1.0)(0.10) = 0.05 \times 9.8[/tex]

[tex]i = 4.9 A[/tex]

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