Calculating Coulomb Forces Between Point Charges

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Homework Help Overview

The discussion revolves around calculating the Coulomb force between two point charges, specifically focusing on the x-component of the force exerted by one charge on another. The charges are given specific values and positions within a coordinate system.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculations involved in determining the force, including unit conversions and the use of different constants. There is mention of potential rounding issues and variations in results based on calculation methods.

Discussion Status

Participants are actively engaging in the calculation process, sharing their results and questioning the accuracy of their approaches. Some guidance on unit conversions and constants has been provided, but there is no explicit consensus on the correct answer.

Contextual Notes

There is a noted ambiguity regarding the value of one of the charges, which may affect the calculations. Participants are also considering the implications of using different units and constants in their computations.

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Homework Statement


A point charge q1 = -3.9 μC is located at the origin of a co-ordinate system. Another point charge q2 = 7.3 μC is located along the x-axis at a distance x2 = 7.8 cm from q1.
1) What is F12,x, the value of the x-component of the force that q1 exerts on q2?

Homework Equations


F=(k*q1*q2)/r^2

The Attempt at a Solution


[(-3.9*10^-6 C)*(7.8*10^-6 C)*(9*10^9 C)]/(0.078^2) m= -45 N

but the answer is wrong I converted everything into metric units.
 

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Converting to SI units can simplify things, but if you are frequently using different units it can work out better to convert the constants instead.

k=89.876N.cm2/μC2

I think you just had some rounding issues ... I'm getting a slightly different number off the same calculation.
 
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when I used your k value with no conversions I got -42.1 N. I guessed the program wanted a more accurate solution thanks.
 
When I used yours - I got 42.115N and mine got me 42.057N ...

With conversion the calculation works out as:

90*3.9*7.3/7.8^2 = 42.115
 
must have been the order with my calculator . I have a ti-30x IIS which is harder to track parenthesis and slightly longer operations. thanks again
 
depends on whether q2 = 7.3 μC , or 7.8 μC .
 

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