How Does Increasing the Length of a Conductor Affect the Induced EMF?

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Increasing the length of a conductor in a uniform magnetic field enhances the induced electromotive force (EMF), as indicated by the equation E = Blv. While the magnetic field may be uniform only in specific regions, the overall concept of magnetic flux is crucial; a larger conductor area results in greater magnetic flux and, consequently, a higher EMF. The relationship between EMF and magnetic flux can be expressed as EMF = -dΦ/dt, emphasizing the role of changing flux over time. Understanding these principles helps clarify how conductor length impacts induced EMF. Thus, a longer conductor effectively increases the induced EMF when moving through a magnetic field.
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Hi,

I am learning Electromagnetic Induction in school and I have this question. For a straight conductor with length l and velocity v, that cuts through a uniform field, it can be seen that an emf is induced and this emf can be calculated using the equation E = Blv.

However, I would like to know what happens as the length of the conductor is increased. Through he equation, I can see that the emf increases but is there a more precise answer/ way of explaining it?

Many thanks in advance. (:
 
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What is the exact situation? So far what you have described seems wrong in that if the magnetic field is uniform then the magnetic flux will be constant. I imagine that the magnetic field is only uniform only a certain region. You probably also need a minus sign in your formula, but whatever.

As far as your question of conceptualizing the whole thin goes, you should think about the flux. Flux represents the amount of the magnetic field going through a certain area. If you have more area, then you'll have more flux, and more EMF.

EMF = - \frac{d \Phi}{dt}
 
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