Having trouble explaining this phenomena

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In an experiment verifying Faraday's law, the induced electromotive force (emf) was found to be the same for two coils in series as for one coil, while two coils in parallel produced half the emf of a single coil. This phenomenon can be explained by considering the behavior of magnetic flux and the effective time the magnet spends in the coils. In series, the coils generate simultaneous emf, while in parallel, the magnet can only induce emf in one coil at a time, effectively averaging the output. The placement of coils and the measurement method also play critical roles in the observed results. Understanding the interaction of magnetic fields and coil configurations is essential for accurate predictions in such experiments.
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Homework Statement



I was doing an experiment to verify faraday's law

Where we were basically dropping a magnet through a coil and measuring the induced emf

Now here is the thing I can't explain;

we connected 2 coils in series and found the induced emf was the same as that of one coil

then we connected 2 coils in parallel and found that the induced emf was half that when using one coil.

How do you explain this... I thought it had something to do with the resistance but when I checked it using a bit of math for resistance in series and parallel I did not get a result like that from the experiment.

What is happening in terms of the physics here. Thanks



Homework Equations





The Attempt at a Solution

 
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charmedbeauty said:

Homework Statement



I was doing an experiment to verify faraday's law

Where we were basically dropping a magnet through a coil and measuring the induced emf

Now here is the thing I can't explain;

we connected 2 coils in series and found the induced emf was the same as that of one coil

then we connected 2 coils in parallel and found that the induced emf was half that when using one coil.

How do you explain this... I thought it had something to do with the resistance but when I checked it using a bit of math for resistance in series and parallel I did not get a result like that from the experiment.

What is happening in terms of the physics here. Thanks



Homework Equations





The Attempt at a Solution


Does it help to think that a single coil is a whole lot of loops joined in series, so to add a whole lot more loops in series should mean the same result - but given the physical size of the set-up, that emf may exist for a longer period of time.

Not sure of the parallel connection.
 
PeterO said:
Does it help to think that a single coil is a whole lot of loops joined in series, so to add a whole lot more loops in series should mean the same result - but given the physical size of the set-up, that emf may exist for a longer period of time.

Not sure of the parallel connection.

Yeah I kinda gathered that but I am more unsure of the parallel result... I just can't seem to figure it out.
 
charmedbeauty said:
Yeah I kinda gathered that but I am more unsure of the parallel result... I just can't seem to figure it out.

I wonder if the parallel situation is giving you an "average" result? The magnet can't be in both coils at once [unless one fits inside the other] so at each phase you are getting "emf+0"/2.

One might argue that a magnet falling through a coil effectively produces a power supply, like a battery.

What happens when you connect two similar batteries in Series?
What happens when you connect two similar batteries in parallel?
 
PeterO said:
I wonder if the parallel situation is giving you an "average" result? The magnet can't be in both coils at once [unless one fits inside the other] so at each phase you are getting "emf+0"/2.

One might argue that a magnet falling through a coil effectively produces a power supply, like a battery.

What happens when you connect two similar batteries in Series?
What happens when you connect two similar batteries in parallel?

Well in series the voltages would add and the current capacity would stay the same

in parallel it would be the opposite

so your saying that the ε ≈ dBA/dt


so for ε/2... BA stays the same but the time the battery spends falling throught the loop approx. doubles since it is two loops.so N=2n/2l

Is this what your saying?

for the first case (series) it acts like this

2ε = dBA/2dt

thats why we had the same result.

second case (parallel)

ε = 2BA/2dt



?
 
charmedbeauty said:
Well in series the voltages would add and the current capacity would stay the same

in parallel it would be the opposite

so your saying that the ε ≈ dBA/dt


so for ε/2... BA stays the same but the time the battery spends falling throught the loop approx. doubles since it is two loops.so N=2n/2l

Is this what your saying?

for the first case (series) it acts like this

2ε = dBA/2dt

thats why we had the same result.

second case (parallel)

ε = 2BA/2dt



?

I have never actually considered this situation before, so don't have a definitive answer - I merely put forward some thoughts to prod you along.

This last consideration where you refer to rate of change of flux looks promising.
 
PeterO said:
I have never actually considered this situation before, so don't have a definitive answer - I merely put forward some thoughts to prod you along.

This last consideration where you refer to rate of change of flux looks promising.

Ok thanks
 
charmedbeauty said:
then we connected 2 coils in parallel and found that the induced emf was half that when using one coil.
Can you explain how you went about this? How you dropped a magnet through two parallel coils simultaneously?
 
NascentOxygen said:
Can you explain how you went about this? How you dropped a magnet through two parallel coils simultaneously?

the coils were placed on top of each other so the length of the coil (x) is now 2x.

then we dropped the magnet through them so at some point I guess the magnet could have been in both coils at the same time since the length of the magnet was ≈x/2.

does this make sense.

??
 
  • #10
charmedbeauty said:
the coils were placed on top of each other so the length of the coil (x) is now 2x.

then we dropped the magnet through them so at some point I guess the magnet could have been in both coils at the same time since the length of the magnet was ≈x/2.

does this make sense.

??
That's how you placed them for parallel coils. How did you place them for series connection?
 
  • #11
NascentOxygen said:
That's how you placed them for parallel coils. How did you place them for series connection?


the same way
 
  • #12
charmedbeauty said:
the same way
http://imageshack.us/a/img717/4080/3110y.gif ... there lies your problem.

To succeed in demonstrating what you expect, then the EMFs in each coil will have to be identical, i.e., generated simultaneously. If the magnet has to pass through one coil before it enters the second, then (without careful analysis) it's anyone's guess how the result will pan out.

Were I to do it, I would try concentric windings.

What device were you using to measure the voltage?
 
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  • #13
NascentOxygen said:
http://imageshack.us/a/img717/4080/3110y.gif ... there lies your problem.

To succeed in demonstrating what you expect, then the EMFs in each coil will have to be identical, i.e., generated simultaneously. If the magnet has to pass through one coil before it enters the second, then (without careful analysis) it's anyone's guess how the result will pan out.

Were I to do it, I would try concentric windings.

What device were you using to measure the voltage?

just a voltmeter
 
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