- #1
Decadohedron
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Member advised to use the homework template for posts in the homework sections of PF.
and two -q charges aligned along the x-axis as follows...
-q__________q__________-q <--- the space between them being d
a) Suppose the +q charge is displaced perpendicularly by a small vertical distance dy. What is the total force F acting on it? Taylor expand your answer to leading order in dyb) Next suppose instead the +q charge is displaced along the x-axis by a small dx distance. What is the force acting on it?
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So for a) I'm kind of stuck at the Taylor expansion on the force.
F = (q)(-q)/4piε0d2 yhat + (q)(-q)/4piε0d2
where d= sqrt(x^2+dy^2)
I'm at a point where I'm trying to simplify something but feel that I"m doing something wrong in the math
Same for b)
Thanks!
-q__________q__________-q <--- the space between them being d
a) Suppose the +q charge is displaced perpendicularly by a small vertical distance dy. What is the total force F acting on it? Taylor expand your answer to leading order in dyb) Next suppose instead the +q charge is displaced along the x-axis by a small dx distance. What is the force acting on it?
--------------
So for a) I'm kind of stuck at the Taylor expansion on the force.
F = (q)(-q)/4piε0d2 yhat + (q)(-q)/4piε0d2
where d= sqrt(x^2+dy^2)
I'm at a point where I'm trying to simplify something but feel that I"m doing something wrong in the math
Same for b)
Thanks!