1. Consider an infinite positively charged rod with charged density d aligned along the x-axis. Point P is positioned at a distance a away from the rod along the y-axis. (a) Calculate the total electric field at point P by the segment of length dx (b) Consider the electric field produced at point P by two segments dx and dx'. Draw the electric field for each segments as as the total electric field. (c) Using the result in (a), derive an expression for electric potential between point P and P'.
1. Consider an infinite positively charged rod with charged density d aligned along the x-axis. Point P is positioned at a distance a away from the rod along the y-axis. (a) Calculate the total electric field at point P by the segment of length dx (b) Consider the electric field produced at point P by two segments dx and dx'. Draw the electric field for each segments as as the total electric field. (c) Using the result in (a), derive an expression for electric potential between point P and P'.
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Question
Transcribed Image Text:1. Consider an infinite positively charged rod with charged density d aligned along
the x-axis. Point P is positioned at a distance a away from the rod along the
y-axis.
(a) Calculate the total electric field at point P by the segment of length dx
(b) Consider the electric field produced at point P by two segments dx and
dx'. Draw the electric field for each segments as as the total electric field.
(c) Using the result in (a), derive an expression for electric potential between
point P and P'.
Expert Solution
Step 1
Let us consider that the point P is at a distance Y from the rod along the y-axis.
let The elementary length element dx is located at a point X units away from the origin along the X-axis.
Electric field at the point P is given by
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