patient's breathing rate. Mindy needs the apparatus to be able to detect a change in area as small as 2.50 cm? occuring over a tim minimum emf that can be reliably detected is 3.00 × 10-4 V, what is the magnitude of the minimum ext would be needed from the solenoid?

patient's breathing rate. Mindy needs the apparatus to be able to detect a change in area as small as 2.50 cm? occuring over a tim minimum emf that can be reliably detected is 3.00 × 10-4 V, what is the magnitude of the minimum ext would be needed from the solenoid?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Voltage Across Inductor

An actor is a passive electrical component that consists of a coil bent in the form of wire which uses electromagnetism to produce electric current through the coil. When the electric current flows through a conductor that is the coil, a magnetic flux is developed around the conductor. This flow of current through the coil creates a magnetic field based on Fleming's Right-hand thumb rule. If there is any decrease in the current passing through the inductor, then the magnetic field will also decrease and energy is released through the generation of electric current. There is also a secondary voltage inducing in the same coil due to the magnetic flux, since it opposes any changes in the electric current flowing through the circuit. An inductor is also called choke, coil, or solenoid. A choke is designed to block certain frequencies when the DC current passes. A winding coil is coated with insulation to give extra insulation and protect the circuit. They are usually tightly wrapped around a central core which is cylindrical in nature so that the magnetic flux can be induced. The solenoid is a three-dimension coil that is used to exhibit electromagnetism when the magnetic field is developed due to the current flowing through the coil. The sign convention of the inductor is the same as the power dissipating device. When the current flows into the positive side of the voltage across the inductor, the value is positive and the inductor dissipates power whereas when the inductor releases the power back to the circuit, the current has a negative sign convention. 

Question

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 2.50 cm² occuring over a time period of 1.50 s. If the
minimum emf that can be reliably detected is 3.00 x 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:

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