Calculating Net Force on Positive Particles Using Coulomb's Law and Vectors

In summary, the conversation is about a problem involving three positive particles with charges 12.5uC placed at the corners of an equilateral triangle. The sides of the triangle are 0.17 meters long and the goal is to calculate the magnitude and direction of the net force on each particle. The person is having trouble understanding the concept of Coulombic force, vector summation, and geometry in order to solve the problem. They ask for help in understanding how to find the Coulomb force acting on a charged particle from another charged particle. The solution involves using Coulomb's Law to find the forces between the particles and then resolving them into vertical and horizontal components to find the resultant force.
  • #1
supermenscher
47
0
Can anyone help me with this one, its really giving me problems. u = 10^-6C

Three positive particles of charges 12.5uC at the corners of an equilateral triangle. The sides of the triangle are 0.17meters long. Calculate the magnitude and direction of the net force on each particle. Of the 3 positive particles, Q1 is at the top of the triangle, Q2 is the left side of the triangle, and Q3 is the right side of the triangle. Please help!
 
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  • #2
What is it about the problem that gives you trouble? The concept of Coulombic force? Vector summation? Geometry?
 
  • #3
Basically the whole thing...I just can't get the grasp on how to do it. Could you please help me? Thanks
 
  • #4
If you had just 2 charged particles, how would you find the force that acts upon one of them from the other, that is: what is the Coulomb force acting on a charged particle from another charged particle?
 
  • #5
could some one explain this a little further, that would really help me. thanks
 
  • #6
Consider Q1. It experiences forces from Q2 and Q3. Each of these forces may be calculated using Coulomb's Law - in fact, they have the same magnitude. The directions of these forces are found by extending the lines Q2Q1 and Q3Q1 and sticking little arrowheads on their ends, pointing away from Q2 and Q3. OR, Q2 and Q3 try to push Q1 away from them. Now you need to find the resultant force. You can do this by resolving each of the two forces into vertical and horizontal components. In this case, the horizontal components are equal, but in opposite direction, so they cancel each other. So you are left with twice the vertical component of one force.
 

1. What is Coulomb's Law?

Coulomb's Law is a fundamental law of physics 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 are the SI units for Coulomb's Law?

The SI unit for charge is the coulomb (C), and the SI unit for distance is meters (m). Therefore, the SI unit for Coulomb's Law is newtons (N), which is the unit of force.

3. How is Coulomb's Law related to vectors?

Coulomb's Law is a vector equation because it takes into account the direction of the force between two charged particles. The direction of the force is along the line connecting the two charges and is either attractive or repulsive depending on the sign of the charges.

4. Can Coulomb's Law be applied to point charges only?

No, Coulomb's Law can be applied to any charged object, as long as the distance between the charges is much larger than the size of the objects. This is known as the point charge approximation.

5. How can Coulomb's Law be used to calculate the force between multiple charges?

To calculate the force between multiple charges, we can use the principle of superposition, which states that the net force on a charge is the vector sum of the individual forces from all other charges. This allows us to break down a complex system of charges into smaller, more manageable parts and calculate the net force on a specific charge.

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