How can Faraday's Law be used to calculate induced voltage in a coil?

In summary, the speaker is seeking help to find the induced voltage in a coil in terms of N, l, and t. They believe the equation should look similar to NlcB0*sqrt(1-cos(kl)), with a frequency of 1.0*10^9 Hz. They mention Faraday's Law and the integral of vector B dot vector dA, and ask for help connecting the two. They provide several links for reference and express gratitude for the help.
  • #1
kahless2005
46
0
Hello, I am new here.
I was hoping to get some help with a problem. I need to find the Induced Voltage in a coil in terms of the number of coils N, the length l, and time t.

I think when all said and done the equation should look close to: NlcB0*sqrt(1-cos(kl)), which is the induced RMS. The frequency is given as 1.0*10^9 Hz.

I know that Faraday's Law is-H*(d(flux)/dt) and flux is the integral of vector B dot vector dA. dA is d(y)d(z)i^ + d(x)d(z)j^ + d(x)d(y)k^.

So, basically, how do I get from Faraday's Law to that?
 
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  • #3
Okay, thank you, those links did help. :biggrin:
 

What is induced voltage in a coil?

Induced voltage in a coil is an electrical phenomenon that occurs when a magnetic field changes in strength or direction, causing a current to flow in a nearby coil. This current is known as induced current, and it creates a voltage across the ends of the coil.

How is induced voltage calculated in a coil?

Induced voltage in a coil is calculated using Faraday's Law of Induction, which states that the magnitude of the induced voltage is proportional to the rate of change of the magnetic flux through the coil. This can be represented by the equation V = -N(dΦ/dt), where V is the induced voltage, N is the number of turns in the coil, and (dΦ/dt) is the rate of change of magnetic flux.

What factors affect the magnitude of induced voltage in a coil?

The magnitude of induced voltage in a coil is affected by several factors, including the strength of the magnetic field, the number of turns in the coil, and the rate of change of the magnetic flux. Additionally, the material and size of the coil can also impact the induced voltage.

How can induced voltage in a coil be increased?

Induced voltage in a coil can be increased by increasing the strength of the magnetic field, increasing the number of turns in the coil, or increasing the rate of change of the magnetic flux. Additionally, using a ferromagnetic core in the coil can also increase the induced voltage by concentrating the magnetic field.

What are some practical applications of induced voltage in a coil?

Induced voltage in a coil has many practical applications, including in generators, transformers, and electric motors. It is also used in devices such as metal detectors, induction cooktops, and wireless charging systems. Additionally, induced voltage in a coil is the basis for many technologies, such as wireless power transfer and electromagnetic induction heating.

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