Line of charge, Feild on the origin

[Defennder]

Yeah it is.

 

[K3nt70]

I'm having trouble completing the integral. I get this far:

$$dE_x = \frac{\lambda x}{4 \pi \epsilon (x^2 + y^2)} dx$$

 

[Defennder]

That expression is incorrect. What is r(x)^2 * sqrt(x^2+y^2)?

 

[K3nt70]

$$(x^2 + y^2) * \sqrt{x^2 + y^2} = x^2 \sqrt{x^2 + y^2} + y^2 \sqrt{x^2 + y^2}$$

 

[Defennder]

Or you make it a lot easier by writing it as $$(x^2 + y^2)^{3/2}$$. To integrate you may need to do a trigo substitution.