Lorentz’s law of voltage for ac-generator

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SUMMARY

The discussion centers on the confusion surrounding "Lorentz’s law of voltage" in the context of AC generators. The user successfully solved problem 22 using the formula E = NAB(2πf), resulting in a voltage of 141.372 volts. However, they express uncertainty regarding problem 21, suspecting a typo and questioning whether it refers to Lenz's Law instead. The user notes that Lenz's Law, expressed as E = -N(dΦ/dt), aligns with their understanding and solution for problem 22, indicating a potential connection to Faraday's Law of electromagnetic induction.

PREREQUISITES
  • Understanding of electromagnetic induction principles
  • Familiarity with Lenz's Law and Faraday's Law
  • Basic knowledge of AC generator operation
  • Proficiency in using the formula E = NAB(2πf)
NEXT STEPS
  • Research Lenz's Law and its applications in AC circuits
  • Study Faraday's Law of electromagnetic induction in detail
  • Explore the relationship between voltage, magnetic flux, and coil turns in generators
  • Investigate common typographical errors in physics textbooks and their implications
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Students studying electromagnetism, physics educators, and anyone involved in understanding AC generator principles and electromagnetic laws.

loki4000
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Homework Statement


Greetings
So i was trying to solve following prolems:

2qsma8o.jpg


Homework Equations

The Attempt at a Solution


I did manage to solve problem 22 using
E = NAB(2pi * f)
E = (100)(0.005)(0.9)(2pi)(50) = 141.372 v

But I have no idea what to do with problem 21. Mostly because I don't know what Lorentz’s law of voltage is.
I am aware that there is law for lorenz Force, but it require stuff like length, drift velocity and other data not given in problem. Not to mention that I do not need Force, I need Voltage.
 
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I don't know what Lorentz’s law of voltage is.
I suspect the author has made a typo. Could he be referring to Lenz's Law?
 
Simon Bridge said:
I suspect the author has made a typo. Could he be referring to Lenz's Law?

I don't know. I suppose that is possible, since I never heard before about Lorentz’s law of voltage.
 
Does the question come from a textbook?
 
Simon Bridge said:
Does the question come from a textbook?
No, just screensot from unknown book our lecturer send us before goin to easter holiday. No details,sadly.

Anyway, since google does not find anying about Lorentz’s law of voltage it can indeed be a typo. However, from what I can see, Lenz's Law = E=-N (dФ/dt) or emf = -(loopsofwire)(magnetic flow over some area, per time).
This is looking fairly similar to my solution or problem 22. And, from my understanding, Lenz's Law is part of Faraday law.
So I guess I already solve it using Lenz's Law in problem 22, it's problem 21 that confuse me.
 

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