V Due To Infinite Line of Point Charges

Kajayacht
Messages
27
Reaction score
0

Homework Statement


An infinite number of point positive charges of 2.0 C each are arranged in the following linear configuration with a = 88 cm. Find the electric potential at the point 0 on the scale.

(link to image)
http://img232.imageshack.us/i/prob02.gif/

[URL]http://img232.imageshack.us/i/prob02.gif/[/URL]

Homework Equations



Sum of Geometric Series
S = a / (1-r)
Electric Potential
V = k*q / r

The Attempt at a Solution



S = .88 / (1-.5)
S = 1.76 m

V = 8.989e9 * 2 C / 1.76 m
V = 1.021 V which is wrong.

Any ideas what I'm doing wrong?
 
Last edited by a moderator:
Physics news on Phys.org
Nevermind, this should be in introductory physics :S Sorry guys lol
 
Hello everyone, I’m considering a point charge q that oscillates harmonically about the origin along the z-axis, e.g. $$z_{q}(t)= A\sin(wt)$$ In a strongly simplified / quasi-instantaneous approximation I ignore retardation and take the electric field at the position ##r=(x,y,z)## simply to be the “Coulomb field at the charge’s instantaneous position”: $$E(r,t)=\frac{q}{4\pi\varepsilon_{0}}\frac{r-r_{q}(t)}{||r-r_{q}(t)||^{3}}$$ with $$r_{q}(t)=(0,0,z_{q}(t))$$ (I’m aware this isn’t...
Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
Back
Top