Electric field on a point around a finite wire

[flivon]

Homework Statement

In the figure below, there is a linear rectilinear uniform wire with charge density of $\lambda$. It its located at the Z axis, where z1 = a and z2 = b, (b> a)
The point O is the origin of the coordinates. "R" is the cylindrical polar radial coordinate.

a) Find the $\vec{E}(\vec{r})$ in the point P
b) Determine the angulus between $\vec{E}(\vec{r})$ and the polar versor $\hat{r}(\varphi )$

Homework Equations

Gauss Law maybe?
$\oint_S {E dA = \frac{1}{{\varepsilon _0 }}} Q$

The Attempt at a Solution

I honestly don't have any ideia on how to solve this. Do you guys know some material where I can find something similar?

 

[berkeman]

Thread closed temporarily for Moderation...

 

[berkeman]

Thread re-opened.

Welcome to the PF, flivon. Check out this Hyperphysics resource to get you started. Please show us your work on this problem.

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elelin.html#c1

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