Calculating Coulomb Forces Between Point Charges

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SUMMARY

The discussion focuses on calculating the Coulomb force between two point charges, specifically q1 = -3.9 μC and q2 = 7.3 μC, with q1 located at the origin and q2 positioned 7.8 cm along the x-axis. The force is calculated using the formula F = (k*q1*q2)/r², where k is the Coulomb's constant. Participants noted discrepancies in their results due to rounding issues and unit conversions, with final calculations yielding values around -42.1 N to -45 N. The importance of consistent unit usage and precision in calculations is emphasized.

PREREQUISITES
  • Understanding of Coulomb's Law and its formula
  • Familiarity with unit conversions, particularly between microcoulombs and coulombs
  • Basic knowledge of vector components in physics
  • Experience with scientific calculators, specifically the TI-30X IIS model
NEXT STEPS
  • Research the concept of Coulomb's constant and its applications in electrostatics
  • Learn about unit conversion techniques for electrical charge and distance
  • Explore the significance of precision and rounding in scientific calculations
  • Study vector analysis in physics to better understand force components
USEFUL FOR

Students in physics, educators teaching electrostatics, and anyone involved in calculations related to electric forces and point charges.

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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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