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Expression for Magnitude of Electric Field by dipole integral
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[QUOTE="elements, post: 5510423, member: 508255"] [h2]Homework Statement [/h2] Consider the electric dipole seen in the notes. (a) Using integration, derive an expression for the magnitude of the electric field produced by the dipole at any point along the x-axis. Electric Dipole: http://labman.phys.utk.edu/phys136/modules/m5/images/electr5.gif [h2]Homework Equations[/h2] Electric Field Equation, Differential Form $${d \vec E} =\frac 1 {4\pi\epsilon_0} \frac {dq} {r^2} \hat {\mathbf r}$$ Linear Charge Density $$ dq = \lambda dx$$ electric dipole: $$\vec p = q\vec d$$ [h2]The Attempt at a Solution[/h2] I am completely confused as to how to get started or which equation to integrate to obtain the equation. I am aware that the y-components of the point charges cancel each other out, hence only the charge along the x-axis matters. As well as the general integration needed to be done to obtain the formula.$$\int_{-\infty}^{\infty} F $$ where F is the function to integrate. [/QUOTE]
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Expression for Magnitude of Electric Field by dipole integral
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