Calculating Magnetic Field Due to a Current at a Given Point

  • Thread starter Thread starter GeorgeCostanz
  • Start date Start date
  • Tags Tags
    Current Field
Click For Summary

Homework Help Overview

The problem involves calculating the magnetic field generated by a current flowing along the z-axis at a specific point in space. The current value is given, and the task is to determine the magnetic field's x and y components at the specified coordinates.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the use of the Pythagorean theorem to find the distance from the current to the point of interest. There is an attempt to apply Ampere's law to calculate the magnetic field. Questions arise regarding the calculation of the angle and the application of the right-hand rule for determining the direction of the magnetic field.

Discussion Status

Some participants are exploring the relationship between the magnetic field and its direction, while others are questioning the calculations and the application of relevant laws. Guidance has been offered regarding the nature of the magnetic field around the wire, but there is no explicit consensus on the correct approach or solution.

Contextual Notes

Participants express uncertainty about the right-hand rule and its application in this context. There is also mention of a figure that may provide additional clarity, but its details are not included in the discussion.

GeorgeCostanz
Messages
29
Reaction score
0

Homework Statement



A current of 4.60 A is located at the origin, flowing along the z axis. (A positive current flows in the + k direction.) Find the magnetic field at the point (2.79,3.89) cm.

Enter the x and y components of the field:

Homework Equations



B = μ[itex]_{°}(i)[/itex]/(2∏r)

μ[itex]_{°}[/itex] = 4∏ x 10^-7

The Attempt at a Solution



used the Pythagorean theorem to find r = 0.04787

used ampere's law to find B = 1.92x10^-5 T

found θ at 54.35°

from there i found

Bx = Bcosθ = 1.12x10^-5 T
By = Bsinθ = 1.56x10^-5 T

not sure where I'm going wrong, thanks
 
Physics news on Phys.org
How did you find angle?
 
arctan(3.89/2.79)
 
George , what will be the direction of magnetic field at that point,?
 
i'm not sure, I'm struggling with all this right hand rule stuff
 
See , you need to know is ,
The magnetic field will form concentric circles around the wire ,
and the direction of magnetic field at any point will be the tangent of the circle at that point .
 
This is the figure
 

Attachments

  • phyt.jpg
    phyt.jpg
    7 KB · Views: 395

Similar threads

Replies
2
Views
1K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
Replies
49
Views
6K
  • · Replies 2 ·
Replies
2
Views
3K
Replies
8
Views
2K