Solving Lenz's Law Problem for Midterm: Get Help Now!

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SUMMARY

The discussion focuses on solving a problem related to Lenz's Law and Faraday's Law of electromagnetic induction. The specific scenario involves a 213-turn coil monitoring a patient's breathing, with an increase in area of 39.0 cm² and an Earth's magnetic field strength of 50.0 µT at an angle of 28.0°. The average induced electromotive force (emf) can be calculated using the formula emf = - (d/dt) (magnetic flux), incorporating the number of turns, magnetic field strength, and the angle between the area vector and the magnetic field.

PREREQUISITES
  • Understanding of Lenz's Law and its application in electromagnetic induction
  • Familiarity with Faraday's Law of electromagnetic induction
  • Knowledge of magnetic flux and its calculation
  • Basic calculus for understanding derivatives in physics equations
NEXT STEPS
  • Study the derivation and applications of Faraday's Law in different contexts
  • Learn how to calculate magnetic flux for various coil configurations
  • Explore the relationship between induced emf and changes in magnetic fields
  • Investigate real-world applications of Lenz's Law in medical devices
USEFUL FOR

Students preparing for physics exams, particularly those studying electromagnetism, as well as educators and professionals involved in medical device design and application of electromagnetic principles.

jenner7231
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I'm reviewing for a midterm and I'm stuggling with this question because I'm not sure what equation would be appropirate. I believe that it is Lenz's Law, but I need some suggestions as to what equation to use.

Question:
To monitor the breathing of a hospital patient, a thin belt is girded around the patient's chest. The belt is a 213 turn coil. When the patient inhales, the area encircled by the coil increases by 39.0 cm2. The magnitude of the Earth's magnetic field is 50.0 µT and makes an angle of 28.0° with the plane of the coil. Assuming that a patient takes 1.80 s to inhale, find the average induced emf in the coil during this time.

any help would be appreciated!
 
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Look up Faraday's law. That's the one you need.
 
Yeah, Doc Al is correct.

You know that emf= - (d/dt) (magnetic flux)

and since n=213, B=50x10^-6, and theta=62 degrees (remember, you're finding the angle between the area vector A, which is perpendicular to the loop, and B), we can solve.

the n, cos(theta), and B all come out of the derivative, leaving dA/dt, which is trivial to solve. And thus, you have the answer.:smile:
 

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