Calculate the electromotive force E
- Thread starter bassi ali
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- Electromotive force Force
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Discussion Overview
The discussion revolves around demonstrating the relationship of the electromotive force (emf) in an AC motor. Participants explore various equations and principles related to motional emf, Faraday's laws, and the mathematical expressions that describe these relationships.
Discussion Character
- Exploratory
- Technical explanation
- Debate/contested
- Mathematical reasoning
Main Points Raised
- Some participants propose using the equation E=BLVsinθ*N to demonstrate the relationship of emf in an AC motor, where v is the rotor's linear velocity and N is the number of turns.
- Others suggest proving the motional emf equation using Lorentz's force (F=BILsinθ) applied to electrons in a conductor before applying it to an alternator.
- One participant emphasizes the use of Faraday's law, stating that the emf can be expressed as e = -dΦ/dt, where Φ is the magnetic flux.
- There is a contention regarding the correct expression for emf, with some participants presenting E = N L r w B cos(wt) while others argue for the use of sin(wt) instead.
- One participant notes that the varying flux function must be predefined as either a sine or cosine wave, affecting the resulting emf expression.
Areas of Agreement / Disagreement
Participants express differing views on the correct mathematical representation of the emf, particularly regarding the use of sine versus cosine functions. There is no consensus on which expression is correct, and the discussion remains unresolved.
Contextual Notes
Participants reference various equations and principles without resolving the assumptions or definitions that underlie their claims. The discussion includes competing models and interpretations of the relationship between emf and magnetic flux.
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