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**Charge Q is distributed uniformly over a thin rod....**

## Homework Statement

Charge Q is distributed uniformly over a thin rod of

lying along the x-axis between points (a,0) and (b,0)

as shown. Please answer each of the following

questions.

a) What is the linear charge density on the rod?

b) Find the electric field at the origin.

## Homework Equations

linear charge density = Q / l

E = k Q / rˆ2

## The Attempt at a Solution

This is what I got so far ...

dQ = lambda*dx = Qdx/(b-a)

integral of E = k dQ/rˆ2 i

= integral from a to b of k*lambda*dx/xˆ2 = k*lambda*(-1/b+1/a)