Mindy, a medical device engineer, is designing an apparatus to monitor the breathing of a patient. The apparatus consists of a stretchable loop of conductive material wrapped in a small band around the patient's chest. A constant uniform external magnetic field is produced by a nearby solenoid. As the patient inhales, his chest expands, stretching the chest band. The resulting increase in the area of the loop causes an emf to be induced in the loop. By measuring the induced emf, a device user can estimate the patient's breathing rate. Mindy needs the apparatus to be able to detect a change in area as small as 5.50 cm² occuring over a time period of 1.50 s. If the minimum emf that can be reliably detected is 3.00 × 10-4 V, what is the magnitude Bmin of the minimum external magnetic field that would be needed from Bmin = the solenoid? T Due to practical constraints, the largest magnetic field that the solenoid can actually produce is 3.50 × 10-3 T. Mindy decides to compensate by using multiple loops of the conductive material in series. What is the minimum number Nmin of wire loops that will allow the chest band to function as desired? Enter the smallest integer value. Nmin = loops

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Chapter1: Units, Trigonometry. And Vectors
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Mindy, a medical device engineer, is designing an apparatus to monitor the breathing of a patient. The apparatus consists of a
stretchable loop of conductive material wrapped in a small band around the patient's chest. A constant uniform external
magnetic field is produced by a nearby solenoid. As the patient inhales, his chest expands, stretching the chest band. The
resulting increase in the area of the loop causes an emf to be induced in the loop. By measuring the induced emf, a device user
can estimate the patient's breathing rate.
Mindy needs the apparatus to be able to detect a change in area as small as 5.50 cm² occuring over a time period of 1.50 s.
If the minimum emf that can be reliably detected is
3.00 × 10-4 V, what is the magnitude Bmin of the minimum
external magnetic field that would be needed from
the solenoid?
Bmin
=
T
Due to practical constraints, the largest magnetic field that the solenoid can actually produce is 3.50 × 10-³ T. Mindy decides to
compensate by using multiple loops of the conductive material in series.
What is the minimum number Nmin of wire loops that will
allow the chest band to function as desired?
Enter the smallest integer value.
Nmin
=
loops
Transcribed Image Text:Mindy, a medical device engineer, is designing an apparatus to monitor the breathing of a patient. The apparatus consists of a stretchable loop of conductive material wrapped in a small band around the patient's chest. A constant uniform external magnetic field is produced by a nearby solenoid. As the patient inhales, his chest expands, stretching the chest band. The resulting increase in the area of the loop causes an emf to be induced in the loop. By measuring the induced emf, a device user can estimate the patient's breathing rate. Mindy needs the apparatus to be able to detect a change in area as small as 5.50 cm² occuring over a time period of 1.50 s. If the minimum emf that can be reliably detected is 3.00 × 10-4 V, what is the magnitude Bmin of the minimum external magnetic field that would be needed from the solenoid? Bmin = T Due to practical constraints, the largest magnetic field that the solenoid can actually produce is 3.50 × 10-³ T. Mindy decides to compensate by using multiple loops of the conductive material in series. What is the minimum number Nmin of wire loops that will allow the chest band to function as desired? Enter the smallest integer value. Nmin = loops
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