Exercise
https://texercises.com/exercise/helmholtz-coil-1/
Question
Solution
Short
Video
\(\LaTeX\)
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:
Show that the field at the centre of a Helmholtz coil corresponds to the of the fields produced by two circular loops with a common axis placed at a distance d  r where r is the radius of the coils.

Solution:
The field produced by a single current loop with radius r current I and N turns is given by Bz fracmu_ fracN I r^left r^ + z^ right^/ In a Helmholtz setup the centre has a distance of zr/ to each of the two coils. The field at the centre is thus sscBHelmholtz Br/ fracmu_ fracN I r^left r^ + r/^ right^/ mu_ fracN I r^left r^ + r^/ right^/ mu_ fracN I r^leftfrac r^ right^/ mu_ fracN I r^leftfracright^/ r^ mu_ leftfracright^/ fracN Ir
Report An Error
You are on texercises.com.
reCaptcha will only work on our main-domain \(\TeX\)ercises.com!
Meta Information
\(\LaTeX\)-Code
Exercise:
Show that the field at the centre of a Helmholtz coil corresponds to the of the fields produced by two circular loops with a common axis placed at a distance d  r where r is the radius of the coils.

Solution:
The field produced by a single current loop with radius r current I and N turns is given by Bz fracmu_ fracN I r^left r^ + z^ right^/ In a Helmholtz setup the centre has a distance of zr/ to each of the two coils. The field at the centre is thus sscBHelmholtz Br/ fracmu_ fracN I r^left r^ + r/^ right^/ mu_ fracN I r^left r^ + r^/ right^/ mu_ fracN I r^leftfrac r^ right^/ mu_ fracN I r^leftfracright^/ r^ mu_ leftfracright^/ fracN Ir
Contained in these collections:

Attributes & Decorations
Branches
Magnetism
Tags
coil, magnetic field
Content image
Difficulty
(2, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
Decoration