A thin rod of uniformly distributed total charge Q lies along the x-axis, from x =...
A thin rod of uniformly distributed total charge Q lies along the x-axis, from x = 0 to x = a. What is the y-component of the electric field at a distance y along the y-axis (where y is not equals to 0)? Show all your workings from first principles
Homework Answers
To find the electric field due to the rod-
1) Consider a rod along x axis and find the smallest electric field dE due to a small part of length dx at a distance x from the origin which varies from 0 to a.
2) since the electric field due to a particle charge = kq/(rxr) in this case we find the distance of point P from dx and then accordingly calculate the dE
Now to calculate the y-component of the electric field we find out that the y-component of the dE = dE cos theta where they = angle between electric field and y-axis.
We then integrate the value of dEcos theta with respect to x from 0 to a in order to calculate the y-component of dE.
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A thin rod of uniformly distributed total charge Q lies along
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