Magnetic field values are often determined by using a device known as a search c

Question

Magnetic field values are often determined by using a device known as a search coil. This technique depends on the measurement of the total charge passing through a coil in a time interval during which the magnetic flux linking the windings changes either because of the coil's motion or because of a change in the value of B.

(a) Show that as the flux through the coil changes from ?1 to ?2, the charge transferred through the coil is given by

Q = N(?2 ? ?1)/R,

Magnetic field values are often determined by using a device known as a search coil. This technique depends on the measurement of the total charge passing through a coil in a time interval during which the magnetic flux linking the windings changes either because of the coil's motion or because of a change in the value of B. (a) Show that as the flux through the coil changes from ?1 to ?2, the charge transferred through the coil is given by Q = N(?2 ? ?1)/R, where R is the resistance of the coil and N is the number of turns.(Do this on paper. Your instructor may ask you to turn in this work.) (b) As a specific example, calculate B when a total charge of 5.00 X 10^-4 C passes through a 200-turn coil of resistance 230 ? and cross-sectional area 50.0 cm2as it is rotated in a uniform field from a position where the plane of the coil is perpendicular to the field to a position where it is parallel to the field. T

Explanation / Answer

a.) EMF= N (/t)

I = EMF / R= -N(/tR)

We know, Q= I t

Q= -N(/tR)t= -N(/R)

b.) = BA

Above two equations can be used to find B.

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