Electric field of a continuous charge distribution at any point

AI Thread Summary
To calculate the electric field due to a continuous charge distribution along a non-conducting wire on the y-axis at any point on the x-axis, one can use the principle of superposition. By determining the electric field at a specific point (x0, 0), the same method can be applied to find the electric field at all points along the x-axis since the charge distribution is uniform. The electric field can be expressed as a function of distance from the wire, allowing for generalization across the x-axis. Understanding the symmetry and linearity of the electric field helps simplify the calculations. This approach ensures accurate results for any point along the x-axis.
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I am given a continuous charge problem in which there is a non-conducting wire of legnth L lying along the y-axis and I am required to calculate the electric field at any point along the x-axis.
I know how to compute the electric field of a continuous charge distribution at a given point, but I am not sure how to do so for any point.

Thanks
 
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Here is your given point: (x0,0)
Does that help? ;)
If you know the electric field for that point, you know it for every point along the x-axis, as you did not use any numerical value for x0.
 
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