Calculating the Electric Field Strength at a certain point with multiple point charge

  1. 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 = 3.37e-9
    q2 = 6.74e-9
    q3 = 3.92e-9

    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?
     

    Attached Files:

  2. jcsd
  3. SammyS

    SammyS 8,204
    Staff Emeritus
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    Re: Calculating the Electric Field Strength at a certain point with multiple point ch

    Hi fisixC.

    Pythagoras tells us that:
    r32 = r12 + r22

    The y-component of r3 is |r1|/|r3| .

    The x-component of r3 is ‒|r2|/|r3| .

    It may also help to notice that 1.941 = 3×0.647 .

    Therefore,

    |r1|/|r3| = |r1|/√(10)

    |r2|/|r3| = 3|r1|/√(10)
     
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