Problem driving me insane electric forces

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Homework Help Overview

The discussion revolves around calculating the number of missing electrons from identical ions based on the electrostatic force they exert on each other, using Coulomb's law. The problem involves concepts from electrostatics and charge calculations.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the application of Coulomb's law to find the charge of the ions and how to relate that charge to the number of missing electrons. Questions arise regarding the correct interpretation of symbols and the arithmetic involved in the calculations.

Discussion Status

There is ongoing clarification regarding the calculations and the representation of charge. Some participants are attempting to verify the arithmetic and the symbolic representation of the charges, while others are questioning the steps taken to convert the charge into the number of electrons.

Contextual Notes

Participants are navigating potential arithmetic errors and clarifying the definitions of the variables used in the calculations. The discussion reflects a lack of consensus on the correct approach to the problem, particularly in the interpretation of Coulomb's law.

supermenscher
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When 2 identical ions are separated by a distance of 3.3*10-10m, the electrostatic force each exerts on the other is 8.5*10^-9N. How many electrons are missing from each ion?

I know I have to use coloumb's law to get Q1Q2, but how do i get the number of electrons missing from each?
 
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The charges are identical, so Q1 = Q2 = Q. Solve for Q and figure out how many electron charges that it equates to.
 
I solved for Q, but how do i convert to electron charges? Because Q comes out in Coloumb's squared
 
Not if you did it correctly. Show me how you applied Coulomb's law and solved for Q.
 
Q = F*r*r/k
Q = 8.5*10^-9N *(3.3*10^-10m)^2/9.0*10^9 N*m^2/C^2
Q = 1.0825*10^-19 C^2
Q = square root of above = 3.207*10^-10C
What do I do after that?
 
supermenscher said:
Q = F*r*r/k
Q = 8.5*10^-9N *(3.3*10^-10m)^2/9.0*10^9 N*m^2/C^2
These should read Q*Q =
Q = 1.0825*10^-19 C^2
Recheck this answer for Q*Q.
Q = square root of above = 3.207*10^-10C
You made an arithmetic mistake in finding Q*Q.
 
can u explain youself a little more, i don't understand what you are trying to say in the above post
 
Hopefully DocAl will forgive my intrusion:

You are using the symbol, "Q," to represent Q1*Q2. But, if both Q1 and Q2 are equal to Q, then, upon substitution: Q1*Q2 = Q*Q.
It is at the very least symbolically misleading to say: Q1*Q2 = Q.

Anyway, once you get that straightened out, the charge will be in Coulombs. Then you need to use the charge of an electron in Coulombs: 1.6x10-19 C.
 

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