- #1
member 731016
- Homework Statement
- Please see below
- Relevant Equations
- Please see below
For this problem,
However, I am trying to solve this problem using an alternative method compared with the solutions. My method is:
##\vec E = k_e \int \frac {dq} {r^2} \, dx ## ##\hat r##
##\vec E = k_e \int \frac {\lambda} {x^2 + d^2} \, dx## ## \hat r##
If I let ## \hat r = \frac {-x\hat i + d\hat j} {\sqrt {x^2 + d^2}}## then I get the same answer as the solutions.
However, how dose ## \hat r = \frac {-x\hat i + d\hat j} {\sqrt {x^2 + d^2}}##?
I see intuitively that the ##\hat r## dose point in the same direction as the ##d\vec E## for each charge segment ##dq##.
Many thanks!
However, I am trying to solve this problem using an alternative method compared with the solutions. My method is:
##\vec E = k_e \int \frac {dq} {r^2} \, dx ## ##\hat r##
##\vec E = k_e \int \frac {\lambda} {x^2 + d^2} \, dx## ## \hat r##
If I let ## \hat r = \frac {-x\hat i + d\hat j} {\sqrt {x^2 + d^2}}## then I get the same answer as the solutions.
However, how dose ## \hat r = \frac {-x\hat i + d\hat j} {\sqrt {x^2 + d^2}}##?
I see intuitively that the ##\hat r## dose point in the same direction as the ##d\vec E## for each charge segment ##dq##.
Many thanks!
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