PM 3/21/2018 04:00 PM 4 78 3/1003/20/2018 08:29 PrintCalculator Periodic Table u

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PM 3/21/2018 04:00 PM 4 78 3/1003/20/2018 08:29 PrintCalculator Periodic Table uestion 9 of 11 Mapd Sapling Learning You are 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 stretching the chest band. loop. By measuring the induced emf, you can estimate the patient's breathing rate. field is produced by a nearby solenoid. As the patient inhales, his chest expands The resulting increase in the area of the loop causes an emf to be induced in the You want your apparatus to be able to detect a change in area as small as 3.50 cm2 occuring over a time period of 1.50 s. If the minimum emf that can be reliably detected is 2.00 x 10 V, what is the magnitude of the minimum extemal magnetic field that would be needed from the solenoid? Number Due to practical constraints, the largest magnetic field that the solenoid can actually produce is 3.50 × 103 T. You decide to compensate by using multiple loops of the conductive material in series. How many band? conductive loops should be in the Number Previous Give Up & View Solution Check Answer Next Exit Hint

Explanation / Answer

e = dphi/dt  

phi = BA

e = B*dA/dt

given :

e = 2 x 10^-4 V

dA = 3.5 cm^2 = 3.5 x 10^-4 m^2

dt = 1.5 s

B = e*dt/dA

B = 0.857 T

part b )

e = N*dphi/dt

e = N*B*dA/dt

B = 3.5 x 10^-3 T

N = e*dt/(B*dA)

N = 244.9 = 245 Turns

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