Finding the Charge on an Ion in a Zero Electric Field

AI Thread Summary
To find the charge on an ion located at x1 = 6 nm in a zero electric field at x2 = -3 nm, the problem involves calculating the influence of a proton at the origin. Initial calculations yielded a charge of -2e, but upon reevaluation, the correct charge is determined to be -9e. This conclusion is based on the proximity of the proton, which is three times closer to the ion, leading to a squared relationship in the electric field calculations. The final answer confirms that the charge on the ion is indeed -9e. Understanding the relationship between distance and electric field strength is crucial in this context.
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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


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for ion

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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 ?
 
Last edited:
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-9e is correct. The proton is three times closer and ##3^2=9##.
 
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