Finding the Charge on an Ion in a Zero Electric Field

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Noreturn
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Homework Statement


A proton is at the origin and an ion is at x1 = 6 nm
If the electric field is zero at x2 = -3 nm , what is the charge on the ion?

Homework Equations


Handwritten equation E1 = kQ1 / R1^2 for the electric field magnitude due to a point charge Q1 at distance R1.


for ion

Equation for electric field at a distance: E2 = kQ2 / R2^2, with E2 on the left and kQ2 over R2 squared on the right.


Handwritten equation E1 + E2 = 0, the sum of two electric field contributions set to zero.


Handwritten equation kQ1/R1^2 + kQ2/R2^2 = 0, with the two fractions on the left side joined by a plus sign.

Handwritten equation: Q1/R1^2 + Q2/R2^2 = 0, with Q1 over R1 squared plus Q2 over R2 squared equal to zero.


Handwritten-style equation: Q2 = -Q1 × (R2/R1)^2, with Q2 and Q1 as charges and R2 and R1 as distances.

The Attempt at a Solution



https://imgur.com/ryyuQBq

I just have used all my attempts besides one. So I believe I keep getting the right answer just not in terms of e. Cause I keep getting 3.6x10^-19 which when you divide by 1.602 I get the same answer of -2e.

Can anyone confirm this?

Now that I redid the math Looks like I made a input error the actual answer is -9e ?
 
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