Force on 3uC Charge - Solving Coloumb's Law Problem

In summary, the problem is to find the force on a 3uC charge, assuming it is at point A while the other charges are at points B and C. The total force, FA, is the sum of the forces FAB and FAC, which are calculated using the Coulomb force equation and taking into account the inverse square relationship with distance. It is important to remember that force is a vector and to include the unit vector of r in the relevant equation. Additionally, for more complex scenarios, the calculations may need to include multiple particles in 2D or in 3D.
  • #1
Ember Cult
2
0

Homework Statement


Find force on 3uC charge.
7c3691e89fc776fddf6f46456d2b01b3.png


Homework Equations


3f67479eda67aa1df0b2b44ca10a116d.png


The Attempt at a Solution


Assuming the 3uC charge is at point A and others are at point B and C

FA = FAB + FAC
FAB = K*(2*3)/5
FAC = K*(2*3)/5

 
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  • #2
Ember Cult said:

Homework Statement


Find force on 3uC charge.
7c3691e89fc776fddf6f46456d2b01b3.png


Homework Equations


3f67479eda67aa1df0b2b44ca10a116d.png


The Attempt at a Solution


Assuming the 3uC charge is at point A and others are at point B and C

FA = FAB + FAC
FAB = K*(2*3)/5
FAC = K*(2*3)/5

Remember, force is vector. The two forces exerted on the 3uC charge have different directions. Add them by their horizontal and vertical components.
The magnitude of the Coulomb force is inversely proportional to the square of the distance. Correct your formulas.
 
  • #3
ehild said:
Remember, force is vector. The two forces exerted on the 3uC charge have different directions. Add them by their horizontal and vertical components.
The magnitude of the Coulomb force is inversely proportional to the square of the distance. Correct your formulas.
Your relevant equation should include unit vector of r. Calculating 2 charge particles is not a problem but not in 3D or many particles in 2D.
 

Related to Force on 3uC Charge - Solving Coloumb's Law Problem

What is Coloumb's Law?

Coloumb's Law is a fundamental law of 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.

What is the formula for calculating force using Coloumb's Law?

The formula for calculating force using Coloumb's Law is F = (k * q1 * q2) / r2, where k is the Coulomb's constant, q1 and q2 are the magnitudes of the two charges, and r is the distance between them.

How do I solve a Coloumb's Law problem?

To solve a Coloumb's Law problem, you will need to identify the values of the charges, the distance between them, and the Coulomb's constant. Then, plug these values into the formula F = (k * q1 * q2) / r2 and solve for the force.

What is the unit of force in Coloumb's Law?

The unit of force in Coloumb's Law is Newtons (N). This is the standard unit of force in the International System of Units (SI).

Can Coloumb's Law be applied to non-point charges?

Coloumb's Law can be applied to non-point charges, but the calculation becomes more complex. In these cases, the charges are divided into smaller point charges and the force is calculated for each pair, then summed to find the total force.

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