1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The size and direction of magnetic induction and force

  1. May 16, 2016 #1
    1. The problem statement, all variables and given/known data
    Hello, I have this problem:
    Four long straight parallel wires are placed in vacuum according to the picture, the distance between each wire is a = 20 cm. Through each wire flows electric current I = 20 A in the specified direction. What is the size and direction of magnetic induction in the middle of this system? What is the size and direction of the force acting on one meter of the bottom left wire?

    2. Relevant equations
    -

    3. The attempt at a solution
    RAyv1y0.png

    I drew the line of forces following the Ampere's right hand law, and also the vectors of magnetic inducion of each wire:

    EHgePqp.png

    now my answer is how do I compute the size of the resulting induction, and my second question is how do I find out the force acting on 1 meter of the lower left wire?

    Thanks in advance for advices
     
  2. jcsd
  3. May 16, 2016 #2

    andrewkirk

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Do they really want to know the strength of magnetic induction? Won't that be zero, because induction arises from the time variation of mag fields and this system is steady state? The vectors you have drawn are of mag fields ##\vec B##, not of induction.

    If it's just the mag field that's wanted, not induction, then the Biot-Savart law will do the job.
     
  4. May 16, 2016 #3
    Yes they want the strength of magnetic induction, if it is zero, then fine I will write it as a solution. Now can you please give me a hint with identifying the direction and strength of the force acting on one meter of left bottom wire, please?
     
  5. May 16, 2016 #4

    andrewkirk

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    It is the Lorentz Force, which is explained here.
     
  6. May 16, 2016 #5
    Thank you for your help and time
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: The size and direction of magnetic induction and force
Loading...