Electric Force and Coulomb's law problem

In summary, the problem involves two fixed point charges and a third point charge at the origin. The net electrostatic force exerted on the third charge by the other two has a magnitude of 26 N and points in the +y direction. Using the given equations, the magnitude of q2 is determined to be 1.56x10^-5 coulombs.
  • #1
Ailiniel
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0

Homework Statement



Two point charges are fixed on the y axis: a negative point charge q1 = -28 µC at y1 = +0.25 m and a positive point charge q2 at y2 = +0.38 m. A third point charge q = +8.5 µC is fixed at the origin. The net electrostatic force exerted on the charge q by the other two charges has a magnitude of 26 N and points in the +y direction. Determine the magnitude of q2.

Homework Equations



Force in +y direction = +26 = Fq1q - Fq2q

Using F=kqq/r^2:

Fq1q=9x10^9(8.5x10^-6)(28x10^-6)/.25^2
Fq2q=9x10^9(8.5x10^-6)q2/.38^2

The Attempt at a Solution



q2=1.56x10^-5 coulumbs
 
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  • #2


Hello! Thank you for posting this problem. Based on the given information and equations, I am able to confirm that your solution for q2 is correct. Great job! Keep up the good work.
 

Related to Electric Force and Coulomb's law problem

1. What is electric force?

Electric force is a fundamental force of nature that describes the attraction or repulsion between charged particles. It is responsible for the interactions between atoms, molecules, and other objects at the atomic and molecular level.

2. How is electric force calculated?

Electric force is calculated using Coulomb's law, which 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. The equation for electric force is F = k(q1q2)/r^2, where k is the Coulomb's constant, q1 and q2 are the charges of the particles, and r is the distance between them.

3. What is Coulomb's law?

Coulomb's law is a fundamental law in physics that describes the relationship between electric charges and the force between them. 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.

4. What units are used to measure electric force?

Electric force is measured in Newtons (N) in the SI unit system. In the CGS unit system, it is measured in dynes (dyn).

5. How does distance between charged particles affect electric force?

The electric 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 decreases. Similarly, as the distance decreases, the force increases.

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