Like in the case of the ATM card readers, suppose you have a \"similar\" device

Question

Like in the case of the ATM card readers, suppose you have a "similar" device where instead of swiping the card, the coil rotates in a uniform B-field. You should be able to see that the 'detector' will, in a similar way, record a total charge during the process of rotation of the coil. So, suuppose you have one such closely wound coil that has an area of 3.26cm2 , 110 turns, and a resistance of 59.2? . It is connected to such a charge-measuring detector whose resistance is 43.5? . When the coil is rotated quickly from a position parallel to a uniform magnetic field to one perpendicular to the field, the instrument indicates a charge of 3.42

Explanation / Answer

here ,

as induced curent = change in flux/time*R

now as charge = current * time

Charge = change in flux/R

Using value provided

3.42 *10^-5 = B*110*3.26 *10^-4*(sin(90) - sin(0))/(43.5 + 59.2)

solving for B

B = 0.0979 T

the magnitude of the applied field from the magnetized object is 0.0979 T

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