small wire coil that can be quickly rotated, orflipped, about a diameter. The co
ID: 1739106 • Letter: S
Question
small wire coil that can be quickly rotated, orflipped, about a diameter. The coilis
connected to a device calleda currentintegrator that can measure thetotal amount of
charge moved through the wire of the coil duringthe flipping process. Derive an
expression for the value of an unknown magneticfield if such a coil is flipped 180degrees
starting from an orientation in which the faceof the coil is perpendicular to the field. You
know the geometry of the coil and the number ofturns, the total resistance of thecircuit,
and the total charge movement measured by thecurrent integrator.
Explanation / Answer
the total charge = q
induced emf = =N/t
induced current I = /R = (N/R)/t
induced charge q = It =N/R
now = BA- (-BA) = 2BA
so q = 2NBA/R
B = qR/(2NA)
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