Magnetic flux against e.m.f (V)

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SUMMARY

The relationship between magnetic flux and electromotive force (e.m.f) in a solenoid is defined by Faraday's Law of Induction, specifically the equation ε = -dφ/dt. As magnetic flux (φ) increases, the induced e.m.f (ε) actually generates a back e.m.f that opposes the change in flux, as stated by Lenz's Law. Therefore, a graph plotting magnetic flux against e.m.f will show a negative correlation, confirming that an increase in flux results in a decrease in e.m.f.

PREREQUISITES
  • Understanding of Faraday's Law of Induction
  • Familiarity with Lenz's Law
  • Basic knowledge of solenoids and magnetic fields
  • Ability to interpret graphs of electromagnetic phenomena
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  • Study the mathematical derivation of Faraday's Law of Induction
  • Explore practical applications of Lenz's Law in electrical engineering
  • Investigate the behavior of solenoids under varying magnetic fields
  • Learn about the implications of back e.m.f in electrical circuits
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Hi,

Could someone confirm for me please. As the magnetic flux increases does the e.m.f increase as well? (solenoid) And if we were to plot a graph of the two against each other, the graph will have a positive line/curve. My graph has a negative curve suggesting that as flux increases e.m.f decreases, that's wrong right?

Thanks.
 
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It depends on how you defined the positive and negative terminals of your solenoid relative to the field inside. Here's how to figure it out.

A changing magnetic flux \phi produces a "back emf" \varepsilon according to

\varepsilon=-\frac{d\phi}{dt}

According to Lenz's Law, the sign of the emf is such as to produce a current that produces a flux that opposes the external change in flux.
 

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