Which situation will induce the greatest current flow?

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SUMMARY

The discussion centers on the factors influencing induced electromotive force (emf) in electromagnetic induction scenarios. Key equations include the corrected formula for induced emf, represented as ε = -N(dΦ/dt), which emphasizes the importance of the rate of change of magnetic flux over time. Participants clarify that simply moving magnets faster does not directly correlate to increased current; rather, the change in magnetic flux is the critical factor. The conversation highlights the need to analyze specific situations to determine which induces the greatest current flow.

PREREQUISITES
  • Understanding of Faraday's Law of Electromagnetic Induction
  • Familiarity with the concept of magnetic flux
  • Basic knowledge of electromotive force (emf)
  • Ability to differentiate between proportionality and rate of change in physics equations
NEXT STEPS
  • Study Faraday's Law in detail, focusing on the formula ε = -N(dΦ/dt)
  • Explore the concept of magnetic flux and its applications in electromagnetic systems
  • Investigate scenarios that maximize changes in magnetic flux to induce higher currents
  • Learn about practical applications of electromagnetic induction in generators and transformers
USEFUL FOR

Physics students, educators, and professionals in electrical engineering who seek to deepen their understanding of electromagnetic induction and its practical implications.

JustinLiang
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Homework Statement


Question 30 from
http://www.bced.gov.bc.ca/exams/search/grade12/english/release/exam/0708PH_p.pdf



Homework Equations


I really don't know but here are some that I think can be used:
E=-N(flux)/t
B=(permeability of free space)(n)I


The Attempt at a Solution


I don't see how moving the magnets faster will create more current. However I understand why an increase in B can cause more current (though I cannot derive that with the use of formulas).
 
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JustinLiang said:
I really don't know but here are some that I think can be used:
E=-N(flux)/t
That's not quite right! :-p
The induced emf isn't proportional the flux divided by time. Rather it is proportional to the change in flux divided by the change in time. It turns out that it makes a big difference.

[tex]\varepsilon mf = -N \frac{d \Phi}{dt}[/tex]

Which situation (of the possible four in the problem) causes the flux to change the most, within a given, short period of time?
 

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