Magnetic field and direction of motion

AI Thread Summary
To induce a potential difference across a wire in a magnetic field, the angles between the wire's direction of motion and the magnetic field must be 0 and 90 degrees. A component of motion perpendicular to the magnetic field is essential for motional EMF. The discussion also touches on wave interference, noting that two wavelengths must be out of phase by 180 degrees to achieve maximum destructive interference. In standing waves, nodes represent points of minimum amplitude and maximum destructive interference, while anti-nodes indicate maximum amplitude. The phase difference at a node in a standing wave is critical for understanding wave behavior.
UrbanXrisis
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Which two angles between the direction of motion of a wire and a magnetic field can a potential difference be induced across the wire?

1. 0 and 45
2. 0 and 90
3. 45 and 90
4. 45 and 180
 
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motional EMF

For a motional EMF to be induced across the wire, the wire must have a component of motion perpendicular to the magnetic field.
 
So it should be 0 and 90. By how many degrees should two wavelengths be out of phase to produce maxium destructive interference?
 
UrbanXrisis said:
So it should be 0 and 90.
Nope. 0 degrees would be parallel to the magnetic field.
By how many degrees should two wavelengths be out of phase to produce maxium destructive interference?
Imagine (better yet, draw) two identical waves, one on top of the other. Have far would you have to slide one over to just cancel the other? (Hint: what fraction of a wavelength?)
 
half a wavelength?
 
so 180 degrees right?
 
UrbanXrisis said:
half a wavelength?
You got it! How many degrees is that?
 
UrbanXrisis said:
so 180 degrees right?
Right again!
 
what if two waves traveling in the same medium interfere to produce a standing wave. What is the phase diference in degrees between the two waves at a node?
 
  • #10
standing waves: nodes and anti-nodes

UrbanXrisis said:
what if two waves traveling in the same medium interfere to produce a standing wave. What is the phase diference in degrees between the two waves at a node?
In a standing wave, there are nodes and anti-nodes. The nodes are the places where you see minimum or no amplitude--which means maximum destructive interference; the anti-nodes are the places with maximum amplitude--thus constructive interference.
 
  • #11
how do you find the phase difference though?
 
  • #12
UrbanXrisis said:
how do you find the phase difference though?
Reread the thread and I'll bet you can figure it out.
 
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