Electric field due to charged rods

AI Thread Summary
To find the electric field at point P due to a charged vertical rod, the relevant equation is given as E = (λL) / (4πε₀√(x² + L²/4)). The discussion highlights the need to evaluate the integral for a uniform line of charge across the length of the rod. The user expresses uncertainty about how to proceed with the calculations after establishing the initial formula. A diagram is suggested to aid in visualizing the problem and setting up the integral. Understanding these concepts is crucial for accurately determining the electric field at point P.
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Homework Statement



If I have a charged vertical rod and a point P which is distanced x from the perpendicular bisector of it. How do I find the electric field at P if x/(/l/2) < 1, where l is the length of the rod

Homework Equations


The Attempt at a Solution



I know that the equation of an electric field due to a charged rod at P is:

\frac{\lambda L}{(4 \pi \epsilon_0) * sqrt(x^2 + L^2/4)}

I don't know how to proceed further
 
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I'd draw a diagram and write a formula for a uniform line of charge and evaluate the integral over the range of the coordinates for the length of the rod.
 
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