How Do You Calculate Charge Magnitude Using Coulomb's Law?

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SUMMARY

The discussion focuses on calculating the charge magnitude using Coulomb's Law in a scenario where a 0.6 kg object is balanced by an equal but opposite charge. The key formula used is Coulomb's Law, F = k(q0q1)/r², where the gravitational force acting on the object is equal to the electric force from the opposite charge. By determining the weight of the object (mg) and setting it equal to the electric force, one can solve for the charge Q in microcoulombs (μC). The distance between the charges is given as 107 cm, which is crucial for the calculations.

PREREQUISITES
  • Understanding of Coulomb's Law and its application
  • Basic knowledge of gravitational force calculations (F = mg)
  • Familiarity with unit conversions, specifically between coulombs and microcoulombs
  • Ability to manipulate algebraic equations to solve for unknowns
NEXT STEPS
  • Calculate the gravitational force acting on a 0.6 kg object using F = mg
  • Learn how to apply Coulomb's Law to find the electric force between two charges
  • Practice unit conversions, particularly converting coulombs to microcoulombs
  • Explore examples of balancing forces in electrostatics problems
USEFUL FOR

Students in physics, particularly those studying electrostatics, as well as educators looking for practical examples of applying Coulomb's Law in problem-solving scenarios.

HobieDude16
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ok, I am trying to do this "prelab" thing for my lab tomorrow, and there is one question i just can NOT figure out. the question is

The weight of a 0.6 kg object of charge Q is just balanced by another object of equal but opposite charge fixed to a support 107 cm above it. What is the magnitude of the charge Q (in μC)? [Note that 1 μC=1x10-6C.]

i understand how coulomb's law works, with F=k(q0q1)/r^2 but what i am having trouble figuring out, is what can i do to get an answer here? i have the mass, and the distance (r). i was thinking to use the force of gravity formula, and set it equal to coulomb's, but i looked at an example in the book where they are given q0 and q1, and they found both gravity and coulombs, and the answers were not equal. so i figured that must mean that is not the right way to do it...

any ideas? sorry so long, its been bugging me for a while now... any help is appreciated

thanks in advance
 
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HobieDude16 said:
The weight of a 0.6 kg object of charge Q is just balanced by another object of equal but opposite charge fixed to a support 107 cm above it. What is the magnitude of the charge Q (in μC)? [Note that 1 μC=1x10-6C.]

It tells you that the object's weight is just balanced by the electric force on it from the opposite charge. You already know the object's weight, right? So from that and Coulomb's law you can easily calculate the required equal and opposite electric force to balance it.
 

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