Faraday's law of induction

  • #1
76
3
Hello

Lets take an example: imagine a horizontal magnetic field, then a wire of length L. I push the wire with a force F through the field perpendicularly with respect to the magn. field for a distance of dS.

EMF = work/charge

--> F*dS/I*dt, where F = flux density*current*lenght of conductor

--> Currents cancel each other out and Lenght of conductor multiplied by the distance moved = area

-->we are left with emf in simplified form of B*A/dt, and B*a = the change in magnetic flux
--> also add the minus from lenz's law

My question is Where does the N, or number of turns go?
Thanks
 
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  • #2
In your example ##N## is the number of wires, you chose ##N=1##.
 
  • #3
Thank you
 

1. What is Faraday's Law of Induction?

Faraday's Law of Induction states that when a conductor is placed in a changing magnetic field, an electromotive force (EMF) is induced in the conductor. This EMF causes an electric current to flow in the conductor.

2. Who discovered Faraday's Law of Induction?

Faraday's Law of Induction was discovered by the English scientist Michael Faraday in the 1830s.

3. What is the equation for Faraday's Law of Induction?

The equation for Faraday's Law of Induction is:
EMF = -N(dΦ/dt)
Where:
EMF = Electromotive force (in volts)
N = Number of turns in the coil
dΦ/dt = Rate of change of magnetic flux (in webers per second)

4. What is the significance of Faraday's Law of Induction?

Faraday's Law of Induction is significant because it explains the relationship between electricity and magnetism. It also forms the basis for the operation of many important devices such as generators, transformers, and motors.

5. How is Faraday's Law of Induction applied in real-life?

Faraday's Law of Induction is applied in many real-life scenarios, including power generation, electric motors, and transformers. It is also used in technologies such as wireless charging, electromagnetic induction cooktops, and magnetic levitation trains.

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