Magnetic field from two wires and magnitude

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SUMMARY

The discussion centers on calculating the magnetic field at point M due to two parallel wires carrying equal currents, with wire 1 directed out of the page and wire 2 into the page. The distance between the wires is 2d, and point M is located 2d from the midpoint between the wires. To find the magnetic field B_1M from wire 1, the right-hand rule is essential for determining direction, while the net magnetic field B_M at point M requires vector addition of the fields from both wires, taking into account their opposing directions.

PREREQUISITES
  • Understanding of magnetic fields generated by current-carrying wires
  • Familiarity with the right-hand rule for determining magnetic field direction
  • Basic knowledge of vector addition in physics
  • Ability to apply Ampère's law for calculating magnetic fields
NEXT STEPS
  • Study the application of Ampère's law in calculating magnetic fields
  • Learn about the right-hand rule and its applications in electromagnetism
  • Research vector addition techniques for combining magnetic fields from multiple sources
  • Explore the effects of varying current directions on magnetic field interactions
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone seeking to understand the principles of magnetic fields generated by current-carrying wires.

tarellan
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Homework Statement



can someone please help? I am having major problems with physics right now :(

Each of the wires carries a current of magnitude I. The current in wire 1 is directed out of the page and that in wire 2 is directed into the page. The distance between the wires is 2d. The x-axis is perpendicular to the line connecting the wires and is equidistant from the wires.


a.) Point M is located a distance 2d from the midpoint between the two wires. Find the magnitude of the magnetic field B_1M created at point M by wire 1.
*Express your answer in terms of I, d, and appropriate constants.

b.)Find the magnitude of the net magnetic field B_M created at point M by both wires.
*Express your answer in terms of I, d, and appropriate constants.

Homework Equations



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The Attempt at a Solution




I got the B1L created by wire 1 by point 1 only.
so I thought since they have the same current and distance, they will have the same magnitude, so I just add them. But I got it wrong.
one of the hint says "find the direction of B"
I am confused how to find the direction for wire 1 and 2 at point M.
 
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Well, let's take it one step at a time. First, pretend wire 2 doesn't exist, and find the magnetic field (magnitude and direction) produced by wire 1 at point M. Do you know how to start doing that? (Hint: use the right-hand rule for the direction)
 

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