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PlatoDescartes

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## Homework Statement

A line of charge with a non-uniform charge density lambda=

*ay*, where

*a*=−34.00 nC/m^2 lies along the

*y*axis in the region 0≤y

*≤*2.90 m. Calculate the electric potential of this line of charge at point P on the

*x*axis a distance 0.80 m from the origin. Assume the potential equals zero at infinity.

The given picture is of a line of charge along the y axis, of h length, with a point charge P, d=0.8m distance away from the line of charge.

## Homework Equations

∆V = VB −VA = the negative integral E dl from a to b where

E=-dV

dV=kdQ/r

dQ=lambdadl[/B]

## The Attempt at a Solution

To start, I used dQ=lamdadl=34nC/m^2 (y)dl. I substituted this in for dQ in dV, which I substituted into E in the integral. From there, I end up with the integral of k(34 x 10^-9)ydy/.8 from 0 to 2.9. Solving this equation though does not yield the correct answer and therefore I would appreciate some assistance.

CORRECTION: The above work is an attempt to find the total charge, which was not clearly stated beforehand. Sorry.[/B]

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