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

Click For Summary

Homework Help Overview

The discussion revolves around calculating the magnetic field at a specific point due to two parallel wires carrying currents in the same direction. The problem involves determining the contributions of each wire to the magnetic field at point P, which is positioned at varying distances from both wires.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the necessity of visualizing the problem through diagrams to understand the magnetic field vectors at point P. There are questions about the direction of the magnetic fields produced by each wire and how they interact at point P.

Discussion Status

Participants are actively engaging in clarifying the setup of the problem and the geometry involved. Suggestions have been made to draw diagrams to aid understanding, and there is an exploration of the angles and directions of the magnetic fields from each wire.

Contextual Notes

Some participants express confusion regarding the angles involved in the problem setup, specifically questioning the use of a 30-degree angle and the nature of the triangle formed by the distances to point P.

Angie K.
Messages
108
Reaction score
1

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!
 
Physics news on Phys.org
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.
 

Similar threads

Replies
2
Views
1K
Replies
11
Views
5K
Replies
3
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 14 ·
Replies
14
Views
6K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
3
Views
2K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K