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
Introductory Physics Homework Help
Electric Potential on the z-axis
Reply to thread
Message
[QUOTE="Rockstar47, post: 1227910, member: 67094"] [h2]Homework Statement [/h2] Use direct integration over the charge on a wire segment to find the potential V(z) on the z-axis due to a finite segment of wire with linear charge density lambda extending along the x-axis from x = - a/2 to +a/2 [h2]Homework Equations[/h2] The electric potential dV at some point P due to the charge element dq is dV = ke dq / r where r is the distance from the charge element to point P. Thus the total potential can be found by integrating: V = ke integral of dq / r [h2]The Attempt at a Solution[/h2] I'm sort of lost here, but I have a few thoughts. I'd appreciate some critique of my work here and hopefully some help...unless, of course, I'm right. Then letting me know that would surely help :D. I assume the wire has length a (since it extends from - a/2 to +a/2). Using right-triangle geometry, I believe the distance from the x-axis to any element on the z-axis will be equal to the square root of a^2 + b^2 (where b is the distance on the z-axis). So, I'll integrate this over the limits x = o to x = a and I come up with V = ke lamdba integral of dx / square root of a^2 + b^2. Such an integral appears in the table in my book and so V becomes equal to ke lamda ln(a + (square root of a^2 + b^2). Am I close here...or way off? Thanks a bunch for any help! [/QUOTE]
Insert quotes…
Post reply
Forums
Homework Help
Introductory Physics Homework Help
Electric Potential on the z-axis
Back
Top