Voltage's effect on magnetic rotation

In summary, the experiment involved driving a solenoid with an H-bridge circuit at two different voltages and observing the motion of a magnet positioned above the solenoid. The observation was that with a higher voltage, the magnet appeared to be oscillating faster with the same driving frequency and duty cycle. This is due to the magnet's inertia, which leads to a higher frequency with a stronger magnetic field. The frequency of the coil and the frequency of the oscillations are not directly related, but increasing the voltage or the number of windings on the coil can achieve the same effect. In the case of a generator, the current generated is dependent on the magnetic field strength, while the emf across the coil is generated due to the current
  • #1
Kyle_em_cee
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I set up an experiment where I drove a solenoid with an H-bridge circuit at one voltage, and then I repeated the experiment with a higher voltage. There was a magnet positioned above the solenoid such that it was free to oscillate side to side (see picture). My observation was this: with the same driving frequency, the same duty cycle, and same overall setup, it appeared as if the magnet was oscillating faster when the higher voltage was applied.

Can someone help me to understand what I may have been seeing? My understanding of the physics of this situation led me to believe that I should have see it rotate at the same frequency as I was driving the coil regardless of the voltage applied, but it should have moved farther with each oscillation. Did I just imagine that I was seeing it move more quickly? What is voltage's effect on the rotation of a magnet in a solenoid?
 

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  • #2
the magnet has inertia so the stronger field will give it a higher frequency. a simple analogy is to consider a spring and simple harmonic motion. the frequency is the well known ω=√k/m where k is the spring constant and m is the mass of the bob on the spring. In your case, you can think of the field strength as a "spring constant" (in no way is this a formula for the real frequency, it's just a useful analogy) and m the mass of the magnet. you can see that a stronger field would lead to higher frequency.
 
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  • #3
cpsinkule said:
the magnet has inertia so the stronger field will give it a higher frequency. a simple analogy is to consider a spring and simple harmonic motion. the frequency is the well known ω=√k/m where k is the spring constant and m is the mass of the bob on the spring. In your case, you can think of the field strength as a "spring constant" (in no way is this a formula for the real frequency, it's just a useful analogy) and m the mass of the magnet. you can see that a stronger field would lead to higher frequency.

Thanks for the analogy, it does help to understand from a high level why I'm seeing this, but I'd like to understand more detail (links to further reading would be excellent if you don't care to type it all out). Is there a formula for the real frequency based on magnetic field strength, magnet mass, etc? Would the "inertial frequency" (for lack of a better term) serve in the equation as a modifier of the base frequency I was driving the solenoid at? Or does the frequency at which I drive the coil have nothing to do with the motion of the magnet?
 
  • #4
You would have to supply the exact specifications of your set up. In any case, there is certainly not going to be a closed form solution unless your problem has a ton of symmetry.
 
  • #5
What would be the important characteristics to consider when looking at the frequency of oscillation? I don't think it's worth exploring a single setup if it will all change with the next, but from a high level is it at all fair to say that the stronger the magnetic field, the faster the oscillation of the magnet? So instead of increasing the voltage I could have also increased the number of windings on the coil to achieve the same effect?
 
  • #6
you will always see an increased oscillation for a stronger current on the same magnet. more coils doesn't effect that, it will only make the field stronger in both cases. i should point out here that the magnetic field is not what is making the magnet rotate, it's the e-field induced by the magnetic field. magnetic fields do no work and could not be responsible for the rotation of the magnet
 
  • #7
Is it the frequency of the oscillations that is increasing, or the amplitude of each oscillation?
 
  • #8
Drakkith said:
Is it the frequency of the oscillations that is increasing, or the amplitude of each oscillation?

In my setup, it was the frequency of the oscillations that appeared to have increased. cpsinkule's logic is beginning to make sense as to why I'm seeing the increase in frequency, but I'm clearly no electrophysicist. I'm also starting to look at it from the opposite standpoint: that of a simple generator. In that case, the faster the magnet spins, the higher the induced voltage in the coil. Therefore, I suppose it ought to work the same in reverse. I would never have suspected that inertia was a key player in this interaction though!
 
  • #9
What is the frequency of the coil compared to the frequency of the oscillations?
 
  • #10
you should be careful here. the inertia of the magnet has no effect on what current it would generate in a loop. a 1 ton magnet with the same field strength as a 1 gram magnet would produce an equal current through a given loop assuming you moved them at the same pace
 
  • #11
Drakkith said:
What is the frequency of the coil compared to the frequency of the oscillations?

The frequency of the coil was set at 260Hz for this particular experiment. I didn't have a good way of quantifying the frequency of oscillations, but I would estimate it increased by half when I increased the voltage (from 500Hz to 750Hz would be my best guess). The voltage was increased from 2.5 to 3.8V.

cpsinkule said:
you should be careful here. the inertia of the magnet has no effect on what current it would generate in a loop. a 1 ton magnet with the same field strength as a 1 gram magnet would produce an equal current through a given loop assuming you moved them at the same pace

Thanks for the warning. So in the case of the generator, the current generated is a factor of the magnetic field strength (and the resultant emf across the coil is generated due to the current flow), whereas the work done on the magnet in my "motor" is due to a magnetic field inducing an e-field on the magnet?
 
  • #12
The current generated by a magnet in a loop of wire depends on something called the "flux" of the magnetic field through a surface attached to the loop of wire. To be specific, it depends on the rate of change of this flux. Loosely speaking it depends on several things, how many coils, how fast the magnetic field is changing (ie how fast you move the magnet), and how large the coils are. The work done on the magnet is due to whatever source is producing a current in your coil, be it a battery or the power plant supplying electricity to your house. The electric field is induced by a changing magnetic field, and the changing magnetic field is induced by the current in the coil, which in turn is produced by your power supply.
 
Last edited:

1. How does voltage affect magnetic rotation?

Voltage affects magnetic rotation by creating an electric current that produces a magnetic field. The strength of this magnetic field is directly proportional to the amount of voltage applied.

2. Does increasing voltage increase or decrease magnetic rotation?

Increasing voltage increases the strength of the magnetic field, which in turn increases the rotation of the magnetic material. Therefore, increasing voltage increases magnetic rotation.

3. Is there a limit to how much voltage can affect magnetic rotation?

Yes, there is a limit to how much voltage can affect magnetic rotation. This is because there is a maximum amount of current that can be produced by a given voltage, and once this limit is reached, further increases in voltage will not result in a stronger magnetic field.

4. How does the material of the magnetic object affect the relationship between voltage and magnetic rotation?

The material of the magnetic object can affect the relationship between voltage and magnetic rotation. Different materials have different magnetic properties, so the strength of the magnetic field produced by a given voltage may vary depending on the material used.

5. Can voltage be used to reverse the direction of magnetic rotation?

Yes, voltage can be used to reverse the direction of magnetic rotation. By changing the direction of the electric current, the direction of the magnetic field can also be changed, resulting in a reversal of the magnetic rotation.

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