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 4.50 cm? occuring over a time period of 1.50 s. If the minimum emf that can be reliably detected is 2.00 × 10¬4 v, what is the magnitude of the minimum external magnetic field that would be needed from the solenoid? magnitude of minimum external magnetic field: 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. How many conductive loops should be in the chest band? minimum number of conductive loops:
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 4.50 cm? occuring over a time period of 1.50 s. If the minimum emf that can be reliably detected is 2.00 × 10¬4 v, what is the magnitude of the minimum external magnetic field that would be needed from the solenoid? magnitude of minimum external magnetic field: 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. How many conductive loops should be in the chest band? minimum number of conductive loops:
College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter20: Induced Voltages And Inductance
Section: Chapter Questions
Problem 21P: To monitor the breathing of a hospital patient, a thin belt is girded around the patients chest as...
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