Electrostatic exercise, Electrical charge calculation

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SUMMARY

The discussion focuses on calculating the number of electrons required to create an attractive force of 1x10^4 Newtons between two 1 Kg copper spheres separated by 1 meter. The solution involves using Coulomb's law, leading to the conclusion that approximately 6.59x10^15 electrons must be transferred from one sphere to the other. The participants emphasized the importance of correctly applying the Coulomb equation and recognizing the relationship between the charges of the spheres.

PREREQUISITES
  • Coulomb's Law for electrostatic force calculations
  • Understanding of electric charge and electron properties
  • Basic algebra for solving equations
  • Knowledge of the properties of copper as a conductive material
NEXT STEPS
  • Study the derivation and applications of Coulomb's Law in electrostatics
  • Learn about the concept of electric charge quantization and electron transfer
  • Explore the relationship between force, charge, and distance in electrostatic interactions
  • Investigate practical applications of electrostatic principles in engineering
USEFUL FOR

Students in physics, electrical engineers, and anyone interested in electrostatics and charge interactions will benefit from this discussion.

nicolas.ard
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Hello, i have to solve the following problem, i have the result, but i can get the way to arrive to it.
This is the problem:
There are 2 spheres of copper, separated at 1 meter, each sphere have a weight of 1 Kg initially.

The problem want's to know how many electrons i need to transfer from one sphere to the other one, to get a attractive force between the both spheres of 1x10^4 Newtons.

The result it's 6.59x10^15 electrons

I planted the Coulomb equation, but it's don't work. (B it's the number of electrons to transfer)
Q_{1} = 2.7502*10^{26}electrons - B
Q_{2} = 2.7502*10^{26}electrons + B

1*10^{4}= \frac{Q_{1}*(-1.6)*10^19*Q_{2}*(-1.6)*10^19}{1^{2}}

Greets from Argentina!
Nicolas
 
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nicolas.ard said:
Hello, i have to solve the following problem, i have the result, but i can get the way to arrive to it.
This is the problem:
There are 2 spheres of copper, separated at 1 meter, each sphere have a weight of 1 Kg initially.

The problem want's to know how many electrons i need to transfer from one sphere to the other one, to get a attractive force between the both spheres of 1x10^4 Newtons.

The result it's 6.59x10^15 electrons

I planted the Coulomb equation, but it's don't work. (B it's the number of electrons to transfer)
Q_{1} = 2.7502*10^{26}electrons - B
Q_{2} = 2.7502*10^{26}electrons + B

1*10^{4}= \frac{Q_{1}*(-1.6)*10^19*Q_{2}*(-1.6)*10^19}{1^{2}}

Greets from Argentina!
Nicolas
First things first.

Use Coulomb's law to find how much charge needs to be transferred. Of course, Q1 = -Q2 , so I suggest letting Q = Q1 and Q2 = - Q.

After finding Q, then find out how many electrons need to be transferred.
 

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