Exercise
https://texercises.com/exercise/definition-of-the-unit-ampere-until-2019/
Question
Solution
Short
Video
\(\LaTeX\)
Need help? Yes, please!
The following quantities appear in the problem:
The following formulas must be used to solve the exercise:
No explanation / solution video to this exercise has yet been created.

Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
Exercise:
Two long parallel conductors at a distance of rO have equal currents flowing through them and they attract each other with FO per lO length. Determine this current strength and decide whether the currents in the conductors must flow in parallel or anti-parallel direction.

Solution:
In order for the conductors to repel each other the currents must be anti-parallel. The magnetic field of one conductor at the location of the other is B fracmu_ Ipi r hence the second conductor in this field will experience F ell I B ell I fracmu_ Ipi r fracmu_ ell I^pi r of Biot-Savart force. Solved for the current we get: SolQtyIsqrt*pi*rX*FX/ncmun*lXA I sqrtfracpi r Fmu_ ell sqrtfracpi r Fmuo l I I sqrtfracpi r Fmu_ ell I
Meta Information
\(\LaTeX\)-Code
Exercise:
Two long parallel conductors at a distance of rO have equal currents flowing through them and they attract each other with FO per lO length. Determine this current strength and decide whether the currents in the conductors must flow in parallel or anti-parallel direction.

Solution:
In order for the conductors to repel each other the currents must be anti-parallel. The magnetic field of one conductor at the location of the other is B fracmu_ Ipi r hence the second conductor in this field will experience F ell I B ell I fracmu_ Ipi r fracmu_ ell I^pi r of Biot-Savart force. Solved for the current we get: SolQtyIsqrt*pi*rX*FX/ncmun*lXA I sqrtfracpi r Fmu_ ell sqrtfracpi r Fmuo l I I sqrtfracpi r Fmu_ ell I
Contained in these collections:
  1. Parallele Leiter by TeXercises
    6 | 9


Attributes & Decorations
Tags
ampere, biot-savart, definition, lorentz, physics, si, unit
Content image
Difficulty
(4, default)
Points
3 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
Decoration
File
Link