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A straight horizontal conducting rod of ...

A straight horizontal conducting rod of length `l` and mass `m` is suspended by two vertical wires at its ends. A current I is set up in the rod through the wires.
(i) What magnetic field should be set up normal to the conductor in order that the tension in the wires is zero.
(ii) What will be the total tension in the wires if the direction of current is reversed, keeping the magnetic field same as before?

Text Solution

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(i) Tension in the supporting wires will be zero if the weight of the rod acting vertically downwards is balanced by the upward force on rod due to magnetic field, i.e.,
`mg=IlB` or `B=(mg)/(Il)`
(ii) If the direction of current is reversed, the magnetic force on rod will act in the vertical downward direction. Now total tension in the wires will be
`T=mg+IlB=mg+mg=2mg=2IlB`
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