What is the magnitude of the force between two charges using Coulomb's law?

In summary, Coulomb's Law is a fundamental law of electromagnetism that describes the electrostatic interaction between two charged particles. The formula for Coulomb's Law is F = k * (q1 * q2) / r^2, where F is the force between two charged particles, k is the Coulomb constant (8.99 x 10^9 Nm^2/C^2), q1 and q2 are the charges of the two particles, and r is the distance between them. It relates to Newton's Law of Universal Gravitation in that they both describe the force between two objects, but Coulomb's Law applies to charged particles while Newton's Law applies to objects with mass. The unit of measurement
  • #1
yoshiba
7
0

Homework Statement


What is the magnitude of the force a +12 µC charge exerts on a +2.7 mC charge 43 cm away?


Homework Equations


I know I have to use the equation: F=kq1q2/r^2



The Attempt at a Solution


F=(9*10^9)(12)(2.7)/(43^2)
=157706868.6

?right?
 
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  • #2
yoshiba said:

The Attempt at a Solution


F=(9*10^9)(12)(2.7)/(43^2)
=157706868.6
?right?

almost, attention to the unit system you are using...
 
  • #3
so i would change mC to C and cm to m...
F=(9*10^9)(2.7*10^-6)(12*10^-6)/(.43^2)
=1.58 N

is this ok?
 
Last edited:

Related to What is the magnitude of the force between two charges using Coulomb's law?

1. What is Coulomb's Law?

Coulomb's Law is a fundamental law of electromagnetism that describes the electrostatic interaction between two charged particles. It states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

2. What is the formula for Coulomb's Law?

The formula for Coulomb's Law is F = k * (q1 * q2) / r^2, where F is the force between two charged particles, k is the Coulomb constant (8.99 x 10^9 Nm^2/C^2), q1 and q2 are the charges of the two particles, and r is the distance between them.

3. How does Coulomb's Law relate to Newton's Law of Universal Gravitation?

Both Coulomb's Law and Newton's Law of Universal Gravitation describe the force between two objects. However, Coulomb's Law applies to the electrostatic force between charged particles, while Newton's Law of Universal Gravitation applies to the gravitational force between any two objects with mass.

4. What is the unit of measurement for electric charge?

The unit of measurement for electric charge is the Coulomb (C). One Coulomb is equal to the charge of approximately 6.24 x 10^18 protons.

5. How does distance affect the force between two charged particles?

According to Coulomb's Law, the force between two charged particles is inversely proportional to the square of the distance between them. This means that as the distance between the particles increases, the force between them decreases exponentially.

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