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# JEE Class main Answered

Magnetic force
Asked by swayamagarwal2114 | 17 Jul, 2022, 12:04: PM
Expert Answer
workdone W =
where F(x) is magnetic force that is  given as

F(x) = i B(x) a

where i is induced current in the loop , B(x) is magnetic field at distance x from long wire and a is side of square loop

Induced current = induced EMF / Resistance of loop = ξ / R

magnitude of Induced EMF ξ = rate of chagne of flux of magnetic field

ξ = dφ/dt

where B is flux density of magnetic field and A is area of loop

Flux density of magnetic field B  at a distance x due to current in long wire  is given as

where μo is permeability of free space and I is current in long wire

where dx/dt = v is speed of movement of loop

Hence workdone is given as

Answered by Thiyagarajan K | 17 Jul, 2022, 02:34: PM

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