What is the Magnetic Field at Point P due to Two Parallel Wires?

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SUMMARY

The discussion focuses on calculating the magnetic field at point P due to two parallel wires carrying 25-A currents in the same direction, separated by 14.6 cm. The magnetic field components at point P are derived from the lower wire (12.1 cm away) and the upper wire (5.8 cm away) using the formula B = μ₀/2π * I/d. Participants emphasize the importance of visualizing the magnetic field vectors and their directions, noting that the resultant magnetic field is influenced by the geometry of the setup and the angles involved.

PREREQUISITES
  • Understanding of magnetic fields generated by current-carrying wires
  • Familiarity with the Biot-Savart Law and its application
  • Basic trigonometry for resolving vector components
  • Knowledge of the right-hand rule for determining magnetic field direction
NEXT STEPS
  • Study the Biot-Savart Law for detailed magnetic field calculations
  • Learn about vector addition in the context of magnetic fields
  • Explore the concept of magnetic field lines and their visualization
  • Investigate the effects of varying current and distance on magnetic field strength
USEFUL FOR

Physics students, electrical engineers, and anyone studying electromagnetism who seeks to understand the behavior of magnetic fields around parallel currents.

Angie K.
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Homework Statement



HW14_4.jpg


Two long thin parallel wires a distance d = 14.6 cm apart carry 25-A currents (I) in the same direction. The magnetic field is measured at point P, a distance d1 = 12.1 cm from the lower wire and a distance d2 = 5.8 cm from the upper wire.

a. Find the x and y components of the magnetic field at P due to the current in the lower wire only.

b. Find the x and y components of the magnetic field at P due to the current in the upper wire only.

c. Determine the magnitude |B| of the total magnetic field at P.

Homework Equations



B = mu0/2 pi * I/d

The Attempt at a Solution


[/B]
to find B1x :

= -Bcos 30

-mu0/2*pi *25/.121 *sqrt3/2

this isn't the right answer, since the rest of the problems are the same way, I need to make sure I understand what I'm doing wrong before moving on. Someone please help!
 
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Did you draw the picture? From the given information there are two points that satisfy the given info.

Suggestion, draw the diagram above with the magnetic field vectors at point p from both wires. The magnitudes of the vectors is easy, and you should know the general directions of both vectors, the rest is trig.?
 
Spinnor said:
Did you draw the picture? From the given information there are two points that satisfy the given info.

Suggestion, draw the diagram above with the magnetic field vectors at point p from both wires. The magnitudes of the vectors is easy, and you should know the general directions of both vectors, the rest is trig.?

Wouldn't the field be going the same way from both wires? Then what would the x and y look like if the field is just one on top of the other going the same way?
 
The two vectors will be approximately perpendicular at point p, right? Draw the magnetic field lines that go around each wire and also go through point p from each current, they are circles, right?
 
Spinnor said:
The two vectors will be approximately perpendicular at point p, right? Draw the magnetic field lines that go around each wire and also go through point p from each current, they are circles, right?

The field lines are going to the left on both wires. so I'm confused what direction they would be at point P
 
The magnetic field from the top wire will be pointing roughly in the 1o'clock direction and the field other wire will point in roughly the 10 o'clock direction?
 
Angie K. said:

Homework Statement



HW14_4.jpg
Where did you get the 30 degrees? Careful, this is not a right-angled triangle.
Suggestion: determine the three inner angles first.
 
concentric1.jpg


Like this but reverse the red arrow.
 

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