Homework Statement
Find the Taylor series for:
ln[(x - h2) / (x + h2)]
Homework Equations
f(x+h) =∑nk=0 f(k)(x) * hk / k! + En + 1
where En + 1 = f(n + 1)(ξ) * hn + 1 / (n + 1)!
The Attempt at a Solution
ln[(x - h2) / (x + h2)] = ln(x-h2) - ln(x + h2)
This is as far as I have been able to...
I get V = -6.20V, which actually turns out to be right. Looking back at my previous attempts, it seems I accidentally went from dq => rθdθ, instead of dq => rdθ, which explains why I thought I was wrong originally. Thanks for helping me figure that out!
Because I tried doing that for this homework problem and it results in a wrong answer. I looked up how to do it and someone said that you just reduce the equation to V=kq/r, which gives the correct answer. This held true for every homework problem with circular arc shaped charge distributions...
This is my first time using this site so please excuse me if I missed any guidelines.
1. Homework Statement
A plastic rod having a uniformly distributed charge Q=-25.6pC has been bent into a circular arc of radius R=3.71cm and central angle ∅=120°. With V=0 at infinity, what is the electric...