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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)