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Question
A straight conducting rod of length l and mass m is suspended in a horizontal plane by a pair of flexible strings in a magnetic field of magnitude B. To remove the tension in the supporting strings, the magnitude of the current in the wire is ______.
Options
`(mgB)/l`
`(mgl)/B`
`(mg)/(lB)`
`(lB)/(mg)`
MCQ
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Solution
A straight conducting rod of length l and mass m is suspended in a horizontal plane by a pair of flexible strings in a magnetic field of magnitude B. To remove the tension in the supporting strings, the magnitude of the current in the wire is `bbunderline((mg)/(lB))`.
Explanation:
F = mg = T
Magnetic force = Fmag = ilB
To remove the tension,
T = Fmag
or, mg = ilB
∴ `i = (mg)/(lB)`
To remove the tension,
T = Fmag
or, mg = iLB
∴ `i = (mg)/(LB)`
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