Magnetic field and direction of motion

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Homework Help Overview

The discussion revolves around the conditions under which a potential difference can be induced in a wire moving through a magnetic field, specifically focusing on the angles between the direction of motion and the magnetic field. The topic touches on concepts related to motional EMF and wave interference.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the angles that allow for induced potential difference, with some suggesting that the angles should be between 0 and 90 degrees. Others question the implications of these angles and relate them to wave interference concepts.

Discussion Status

There is an active exploration of the relationship between motion and magnetic fields, with participants questioning assumptions about angles and discussing wave interference. Some guidance has been offered regarding the conditions for maximum destructive interference, but no consensus has been reached on the original question about induced potential difference.

Contextual Notes

Participants are navigating between different physics concepts, including motional EMF and wave interference, which may lead to confusion regarding definitions and setups. There is an emphasis on understanding phase differences in waves, particularly in the context of standing waves.

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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