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4. 21. (a) A straight horizontal conducting rod of length 0.45 m and mass 60 g is suspended by two vertical wires at its ends. A current of 5.0 A is set up in the rod through the wires.  What magnetic field should be set up normal to the conductor in order that the tension in the wires is zero?

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In order for the tension in the wires to be zero the force due to the magnetic field must be equal to the gravitational force on the rod.

mg=BIl

mass of rod=0.06 g

length of rod=0.45m

the current flowing through the rod=5 A

\\B=\frac{mg}{Il}\\ B=\frac{0.06\times 9.8}{5\times 0.45}\\ B=0.261\ T

A magnetic field of strength 0.261 T should be set up normal to the conductor in order that the tension in the wires is zero

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