Find direction of current in a magnetic field

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SUMMARY

The discussion focuses on determining the direction of current in two parallel wires and the behavior of a neutral point in a magnetic field. The current, I, flows in the same direction in both wires, creating magnetic fields that interact at point P, which is closer to wire R. When I is increased, the neutral point P moves towards wire R due to the stronger magnetic field created by wire R. Additionally, a second neutral point exists to the left of wire Q, as the fields from both wires must counterbalance the uniform magnetic field present.

PREREQUISITES
  • Understanding of magnetic fields generated by current-carrying wires
  • Familiarity with the right-hand rule for determining magnetic field direction
  • Knowledge of the formula for magnetic field strength: B = μ0 I / 2πr
  • Concept of neutral points in magnetic fields
NEXT STEPS
  • Study the right-hand rule for magnetic fields around current-carrying conductors
  • Learn about the superposition of magnetic fields from multiple sources
  • Explore the concept of magnetic flux density and its applications
  • Investigate the effects of varying current on magnetic field strength and direction
USEFUL FOR

Students of physics, educators teaching electromagnetism, and professionals working in electrical engineering or related fields will benefit from this discussion.

  • #31
Doc Al said:
When the current is increased, you need to also increase r if you want to keep the B constant.

But we have two wires to worry about. We're trying to find the point where the combined field from the wires cancels the uniform field. It used to be point P, but then they went and increased the current on us.
But you said that B doesn't equal to zero, and now you say that the combined field from the wires cancels the uniform field.

Doc Al said:
Good! So which direction will the new 'neutral point' be?
Closer to R?
 
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  • #32
moenste said:
But you said that B doesn't equal to zero
The B from the two wires doesn't equal zero.
moenste said:
and now you say that the combined field from the wires cancels the uniform field.
That's right.

moenste said:
Closer to R?
Just the opposite. The field from the wires is proportional to I * (1/rQ - 1/rR). Since I is increasing, and we want B to remain the same, we need (1/rQ - 1/rR) to decrease.
 
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  • #33
Doc Al said:
Just the opposite. The field from the wires is proportional to I * (1/rQ - 1/rR). Since I is increasing, and we want B to remain the same, we need (1/rQ - 1/rR) to decrease.
1 / 0.8 - 1 / 0.2 = - 3.75

1 / 0.9 - 1 / 0.1 = -8.89

1 / 0.7 - 1 / 0.3 = -1.9.

If we want it to increase, we need to increase the distance from Q. Therefore P goes closer tto R.
 
  • #34
moenste said:
If we want it to increase, we need to increase the distance from Q. Therefore P goes closer tto R.
That's true, but we want that factor to decrease, not increase.
 
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  • #35
Doc Al said:
That's true, but we want that factor to decrease, not increase.
Thank you, I think somehow I got it.
 

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