
#1
Jan2511, 10:22 PM

P: 54

1. The problem statement, all variables and given/known data
Attached picture with the given variables and questions stated. 2. Relevant equations E = kq / (r^2) 3. The attempt at a solution I've taken found the linear electric field magnitudes in relationship to the point q1 = 3.37e9 q2 = 6.74e9 q3 = 3.92e9 r1 = .647m r2 = 1.941m E1 = (k*(q1))/(r1) = 72.3540189055 E2 = (k*(q2))/(r2) = 16.0789708679 I am having difficulty figuring out how to calculate the third vector into the total, any thoughts? 



#2
Jan2511, 11:02 PM

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PF Gold
P: 7,418

Pythagoras tells us that: r_{3}^{2} = r_{1}^{2} + r_{2}^{2} The ycomponent of r_{3} is r_{1}/r_{3} . The xcomponent of r_{3} is ‒r_{2}/r_{3} . It may also help to notice that 1.941 = 3×0.647 . Therefore, r_{1}/r_{3} = r_{1}/√(10) r_{2}/r_{3} = 3r_{1}/√(10) 


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