Insights Blog
-- Browse All Articles --
Physics Articles
Physics Tutorials
Physics Guides
Physics FAQ
Math Articles
Math Tutorials
Math Guides
Math FAQ
Education Articles
Education Guides
Bio/Chem Articles
Technology Guides
Computer Science Tutorials
Forums
Intro Physics Homework Help
Advanced Physics Homework Help
Precalculus Homework Help
Calculus Homework Help
Bio/Chem Homework Help
Engineering Homework Help
Trending
Featured Threads
Log in
Register
What's new
Search
Search
Search titles only
By:
Intro Physics Homework Help
Advanced Physics Homework Help
Precalculus Homework Help
Calculus Homework Help
Bio/Chem Homework Help
Engineering Homework Help
Menu
Log in
Register
Navigation
More options
Contact us
Close Menu
JavaScript is disabled. For a better experience, please enable JavaScript in your browser before proceeding.
You are using an out of date browser. It may not display this or other websites correctly.
You should upgrade or use an
alternative browser
.
Forums
Homework Help
Advanced Physics Homework Help
Finding the magnetic field of a loop at far distances
Reply to thread
Message
[QUOTE="1v1Dota2RightMeow, post: 5616907, member: 584409"] [h2]Homework Statement [/h2] Loop of current ##I## sitting in the xy plane. Current goes in counter clockwise direction as seen from positive z axis. Find: a) the magnetic dipole moment b) the approximate magnetic field at points far from the origin c) show that, for points on the z axis, your answer is consistent with the exact field (Ex. 5.6), when z R. [h2]Homework Equations[/h2] ##\vec{m} = I \int d\vec{A}## ##\vec{A}_{dip} (\vec{r}) = \frac{\mu_0 \vec{m} \times \hat r}{4 \pi r^2}## ##\vec{B}=\nabla \times \vec{A}## [h2]The Attempt at a Solution[/h2] a) I got that this is ##I\pi R^2 \hat z## b) I got ##\vec{A}_{dip} (\vec{r}) = \frac{\mu_0 I R^2}{4 r^2}(\hat z \times \hat r)##, but I don't know how to interpret ##(\hat z \times \hat r)##. I tried taking the vector product by treating them as cylindrical coordinates and using the conversion to cartesian, which resulted in ##\hat \phi##. So it says that the vector potential curls around the z axis, which doesn't make sense... Then I know I have to do ##\vec{B}=\nabla \times \vec{A}##, but that's contingent on the previous part being correct. c) ? Any tips? [/QUOTE]
Insert quotes…
Post reply
Forums
Homework Help
Advanced Physics Homework Help
Finding the magnetic field of a loop at far distances
Back
Top