Understanding PhET simulation (Faraday's law)

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SUMMARY

The discussion focuses on the PhET simulation of Faraday's law, particularly the transformer tab, where users explore the relationship between electromagnetism and circuit behavior. Participants confirm that increasing the number of loops in the electromagnet enhances the brightness of the light bulb due to increased voltage induced in the circuit. The key equations discussed include V2 / V1 = N2 / N1 = I1 / I2 and P = IV, emphasizing the constant power relationship in transformers. Users clarify that while the magnetic field strength is related to loop density, the induced voltage in alternating current circuits increases with the number of turns, leading to brighter bulbs.

PREREQUISITES
  • Understanding of Faraday's law of electromagnetic induction
  • Familiarity with transformer operation and principles
  • Knowledge of basic circuit components, including voltage, current, and resistance
  • Experience with PhET simulations, specifically the Faraday simulation
NEXT STEPS
  • Explore the PhET simulation on Faraday's law to visualize electromagnetic induction
  • Study transformer equations and their applications in electrical engineering
  • Investigate the concept of magnetic flux and its role in circuit behavior
  • Learn about the impact of loop density on magnetic fields in electromagnets
USEFUL FOR

Students in physics, educators teaching electromagnetism, and electrical engineers interested in transformer design and circuit analysis will benefit from this discussion.

sohjau
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Homework Statement


I am supposed to make a project based on this simulation, I am trying to see what is happening:

https://phet.colorado.edu/en/simulation/faraday

If I go to the "Transformer" tab, I have an electromagnet and a circuit consisting of a loop of wire and a light bulb. I can change the current source to alternating current to induce current in the circuit and make the light bulb shine. If I increase either the number of loops in the electromagnet or the circuit, the light bulb shines brighter. According to my understanding, the brightness of a light bulb depends on the power which is the product of the current and the voltage. However, a transformer only changes voltage and current proportionally to each other so that power remains constant.

Homework Equations


V2 / V1 = N2 / N1 = I1 / I2;
P = IV;
B = unI;
n = N/l;

The Attempt at a Solution


If I use a field meter and a direct current source, I can see that the magnetic field is proportional to the number of loops for the electromagnet. The number of loops shouldn't matter due to the formula of magnetic field using "loop density" instead. Is this simulation incorrect, or is my understanding of this topic really off?
 
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sohjau said:

Homework Statement


I am supposed to make a project based on this simulation, I am trying to see what is happening:

https://phet.colorado.edu/en/simulation/faraday

If I go to the "Transformer" tab, I have an electromagnet and a circuit consisting of a loop of wire and a light bulb. I can change the current source to alternating current to induce current in the circuit and make the light bulb shine. If I increase either the number of loops in the electromagnet or the circuit, the light bulb shines brighter. According to my understanding, the brightness of a light bulb depends on the power which is the product of the current and the voltage. However, a transformer only changes voltage and current proportionally to each other so that power remains constant.

Homework Equations


V2 / V1 = N2 / N1 = I1 / I2;
P = IV;
B = unI;
n = N/l;

The Attempt at a Solution


If I use a field meter and a direct current source, I can see that the magnetic field is proportional to the number of loops for the electromagnet. The number of loops shouldn't matter due to the formula of magnetic field using "loop density" instead. Is this simulation incorrect, or is my understanding of this topic really off?
Can you show the exact circuit your're working on? Where is the current source placed?
 
How exactly do I run the simulation. It just downloads a file. I clicked on the Software Required... all I need is Java, which I have.
 
scottdave said:
How exactly do I run the simulation. It just downloads a file. I clicked on the Software Required... all I need is Java, which I have.
I needed to open the file with an application called "Java Web Start".
 
cnh1995 said:
Can you show the exact circuit your're working on? Where is the current source placed?
Here is an example of what I mean about the light bulb shining brighter:
one.png
three.png


Here is an example of the magnetic field increasing linearly with the number of loops in the electromagnet:
original.png
new.png
 

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The increased number of turns makes it easier for the magnetic flux to transfer.
 
scottdave said:
The increased number of turns makes it easier for the magnetic flux to transfer.
So, let's say this simulation used a typical transformer with two coils and an iron core. If the number of turns were increased, the magnetic field that the primary current produces wouldn't increase because there is already an iron core that helps the magnetic field propagate through, right?
 
sohjau said:
Here is an example of the magnetic field increasing linearly with the number of loops in the electromagnet:
Well, in case of your dc circuits (last two images), I believe the axial magnetic field 'B' shouldn't increase since it depends on turns/length (or turn-density as you said) and not on number of turns alone.

But in the first two circuits with alternating voltage, the increased number of turns of the bulb-coil in the second picture induces more voltage in it and hence the bulb glows brighter. Flux linkage of the secondary is given by NsΦp, where Φp is the part of primary flux that gets coupled with the secondary. As you can see, the flux-linkage of the secondary is proportional to the number of turns of the secondary and hence, the bulb glows brighter.
 
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