Electromagnetic Induction and Faraday's Law

In summary, the generator of a car produces 12.4 V at an idle speed of 950 rpm. If the rotation speed increases to 2500 rpm with no other changes, the output voltage can be calculated using the formula E = NBAw. However, it is important to also consider the back EMF, which opposes the motion according to Lenz's law.
  • #1
airkapp
58
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The generator of a car idling at 950 rpm produces 12.4 V. What will the output be at a rotation speed of 2500 rpm assuming nothing else changes?

I'm guessing that is easier and I'm looking to make it harder. I can't find anything in my textbook involving rpm. I'm thinkin to use this formula
E = NBAw but I'm actually not quit sure how to approach the problem.

is N my rpm? and then I do an initial rpm and final rpm sequence?
 
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  • #2
N is number of loop... [tex] \omega [/tex] is the angular velocity...

the rpm (rotation per minute, or radian per minute) is directly proportional to the angular velocity... does that make sense to you?
 
  • #3
vincentchan said:
N is number of loop... [tex] \omega [/tex] is the angular velocity...

the rpm (rotation per minute, or radian per minute) is directly proportional to the angular velocity... does that make sense to you?


so i could set this up as a proportion?

950/12.4 V =2500/x Volts ?

thanks.
 
  • #4
I think you should also consider the back EMF.
 
  • #5
ramollari said:
I think you should also consider the back EMF.

sorry, I'm not following. If all things remain constant why would I consider that? The back emf oppose the motion (Lenz's law) correct, but if everything remains constant... :confused:
 

FAQ: Electromagnetic Induction and Faraday's Law

What is electromagnetic induction?

Electromagnetic induction is the process by which a changing magnetic field induces an electric current in a conductor. This phenomenon was first discovered by Michael Faraday in the 19th century and is the basis for many modern technologies, including generators and transformers.

How does Faraday's law relate to electromagnetic induction?

Faraday's law states that the magnitude of the induced electromotive force (emf) in a circuit is equal to the rate of change of magnetic flux through the circuit. This means that the more rapidly the magnetic field changes, the greater the induced emf and resulting current will be.

What factors affect the strength of the induced current?

The strength of the induced current depends on several factors, including the strength of the magnetic field, the number of turns in the conductor, the speed at which the magnetic field changes, and the resistance of the conductor. Additionally, the orientation of the conductor relative to the magnetic field can also affect the induced current.

What are some real-world applications of electromagnetic induction?

Electromagnetic induction has numerous applications in modern technology, including generators, transformers, electric motors, and induction cooktops. It is also used in devices such as metal detectors and magnetic resonance imaging (MRI) machines.

How does electromagnetic induction impact our daily lives?

Electromagnetic induction plays a significant role in our daily lives, as it is the basis for the generation and transmission of electricity. It also allows for the function of many household devices, such as refrigerators, televisions, and computers. In addition, electromagnetic induction is crucial in the production and distribution of renewable energy sources such as wind and hydroelectric power.

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