Consider a square loop of
wire loaded with a glass bulb of mass m hanging vertically, suspended in air with its one part in a uniform magnetic field Bwith its direction coming out of the plane of the paper (). Due to the current I flowing
through the loop, there is a magnetic force in upward direction. Calculate the current
I in the loop for which the magnetic force would be exactly balanced by the force on mass m due to gravity.
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Answered by
47
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Solution: The current I in the loop with
its part in the magnetic field B causes an
upward force Fm in the horizontal part of
the loop, given by
Fm = IBa,
where a is the length of one arm of the
loop.This force is balanced by the force due
to gravity.
∴ Fm = I Ba = mg
For this current, the wire loop will
hang in air.
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