# Uniformly Charged Rod

1. Problem Statement
A uniformly charged rod of length L and total charge Q lies along the x axis as shown in in the figure below. (Use the following as necessary: Q, L, d, and ke.)

(a) Find the components of the electric field at the point P on the y axis a distance d from the origin.

(b) What are the approximate values of the field components when d >> L?

2. Equations
I have a diagram and understand that E=kQ/r^2, however, I can not figure out how to define each component.

3. Attempt
I know that I must integrate to solve once I have defined the component, however I do not know how to define them.
Would Ex=rsin(θ)[(kQ)/r^2] and Ey=rcos(θ)[(kQ)/r^2] be at all in the right direction?

Last edited:

BvU
Homework Helper
Hello jls, and welcome to PF.
Can't find a picture... or is the figure below in your book only ? In that case:
Is the center of the rod at x=0 ? (would make things easier...)

vela
Staff Emeritus
Homework Helper
1. Problem Statement
A uniformly charged rod of length L and total charge Q lies along the x axis as shown in in the figure below. (Use the following as necessary: Q, L, d, and ke.)

(a) Find the components of the electric field at the point P on the y axis a distance d from the origin.

(b) What are the approximate values of the field components when d >> L?

2. Equations
I have a diagram and understand that E=kQ/r^2, however, I can not figure out how to define each component.

3. Attempt
I know that I must integrate to solve once I have defined the component, however I do not know how to define them.
Would Ex=rsin(θ)[(kQ)/r^2] and Ey=rcos(θ)[(kQ)/r^2] be at all in the right direction?
##E = \frac{kQ}{r^2}## only applies for a point charge. There's probably an example done in your textbook that you might find very helpful.

BvU