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

AI Thread Summary
The discussion revolves around calculating the magnetic field at point P due to two parallel wires carrying 25-A currents. Participants emphasize the importance of visualizing the problem by drawing a diagram to understand the magnetic field vectors from each wire. There is confusion about the angles involved and the direction of the magnetic fields at point P, with suggestions to clarify the geometry of the setup. The magnetic fields from both wires are expected to interact, and their directions need careful consideration to determine the resultant field. Overall, the focus is on accurately calculating the magnetic field components and understanding their vector nature.
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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