Calculating Force between Reduced Charges using Coulomb's Law

In summary, Coulomb's Law is a fundamental law in electrostatics that describes the force between two point charges. It states that the force between two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. To calculate the force between two reduced charges using Coulomb's Law, one must determine the magnitude of the charges and the distance between them and use the formula F = k * (q1 * q2) / r^2, where F is the force in Newtons, k is the Coulomb's constant (9 x 10^9 N*m^2/C^2), q1 and q2 are the charges in Coulombs, and r is the distance
  • #1
babiiace234
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0

Homework Statement



What will be the force between two charges if the magnitude of the charges and the distance between them are reduced by 50%

Homework Equations



F= [(k)(Q1)(Q2)]/(r^2)

The Attempt at a Solution


Is it that the charge would be 1/2C then 1/2d, then solve for F
 
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  • #2
babiiace234 said:
Is it that the charge would be 1/2C then 1/2d, then solve for F
Replace Q1 by Q1/2, r by r/2, etc. Then see how the force changes.
 
  • #3
Thank you
 

Related to Calculating Force between Reduced Charges using Coulomb's Law

What is Coulomb's Law?

Coulomb's Law is a fundamental law in electrostatics that describes the force between two point charges. It states that the force between two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

How do you calculate the force between two reduced charges using Coulomb's Law?

To calculate the force between two reduced charges using Coulomb's Law, you need to first determine the magnitude of the charges and the distance between them. Then, you can use the formula F = k * (q1 * q2) / r^2, where F is the force in Newtons, k is the Coulomb's constant (9 x 10^9 N*m^2/C^2), q1 and q2 are the charges in Coulombs, and r is the distance between the charges in meters.

What is a reduced charge?

A reduced charge is a charge that has been multiplied by a constant to make calculations easier. This is commonly used when dealing with charges in scientific notation or very small charges that are difficult to work with.

What happens to the force between two charges if the distance between them is doubled?

If the distance between two charges is doubled, the force between them will decrease by a factor of four. This is because the inverse square relationship between force and distance means that as the distance increases, the force decreases exponentially.

Can Coulomb's Law be used to calculate the force between non-point charges?

No, Coulomb's Law is only valid for point charges, which are charges that are concentrated at a single point in space. For non-point charges, more complex equations or numerical methods may be needed to calculate the force between them.

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