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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?

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?

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