Electrostatic Force - Locations of a second charge

So in summary, a force of 2.4N [L] is exerted on a -1.8x10-6C charge 0.2m away. The possible charges for the second charge can be either positive or negative, with the positive charge located to the left of the first charge and the negative charge located to the right. This is based on the fact that like charges repel and unlike charges attract, and the direction of the force given in the problem.
  • #1
Sandro Romualdez

Homework Statement


A force of 2.4N [L] is exerted on a -1.8x10-6C charge 0.2m away. What are the possible charges and locations of the second charge?

Homework Equations


FE= kq1q2 / d2

The Attempt at a Solution


Rearranging the equation above for q2 is
q2 = FE x d2 / kq1

and substituting values gives an answer of
-5.9x10-6C.

Therefore, I have the charge value, but how do I know the locations of the second charge? Would it just be [Left or Right] of the 1st charge?
 
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  • #2
Sandro Romualdez said:

Homework Statement


A force of 2.4N [L] is exerted on a -1.8x10-6C charge 0.2m away. What are the possible charges and locations of the second charge?
So the "[L]" for the force means toward the left?

and substituting values gives an answer of
-5.9x10-6C.
Does the charge have to be negative? Could a positive charge do the trick?

Therefore, I have the charge value, but how do I know the locations of the second charge? Would it just be [Left or Right] of the 1st charge?
Like charges repel and unlike charges attract. Think of the possibilities that would produce a force to the left on the given charge.
 
  • #3
TSny said:
So the "[L]" for the force means toward the left?

Does the charge have to be negative? Could a positive charge do the trick?Like charges repel and unlike charges attract. Think of the possibilities that would produce a force to the left on the given charge.

Yes, the [L] means the force is pushing the charge to the left. Since the charge calculated is -5.9x10-6 that would mean it is located to the left of the charge, since they are both negative and repel.
 
  • #4
Sandro Romualdez said:
Yes, the [L] means the force is pushing the charge to the left. Since the charge calculated is -5.9x10-6 that would mean it is located to the left of the charge, since they are both negative and repel.

Also, the charge can be negative or positive, and if positive located to the right of the 1st charge, right?
 
  • #5
I think you have it. But to make sure, let q1 = -1.8x10-6 C.

If q2 = +5.9x10-6 C, then where is q2 located? Is it to the right or to the left of q1?

If q2 = -5.9x10-6 C, then where is q2 located? Is it to the right or to the left of q1?
 
  • #6
TSny said:
I think you have it. But to make sure, let q1 = -1.8x10-6 C.

If q2 = +5.9x10-6 C, then where is q2 located? Is it to the right or to the left of q1?

If q2 = -5.9x10-6 C, then where is q2 located? Is it to the right or to the left of q1?

If it is positive, then it is to the left of q1 as it will attract and pull q1 towards it.

If it is negative, it is to the right, as it will repel and move the 1st charge away from it.
 
  • #7
Sandro Romualdez said:
If it is positive, then it is to the left of q1 as it will attract and pull q1 towards it.

If it is negative, it is to the right, as it will repel and move the 1st charge away from it.
Good.
 
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What is electrostatic force?

Electrostatic force is the attraction or repulsion between two charged particles due to their electric charges. It is a fundamental force in nature and plays a crucial role in the behavior of matter.

How is electrostatic force calculated?

Electrostatic 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 formula is F = k(q1q2)/r^2, where F is the force, q1 and q2 are the charges, and r is the distance between them. k is a constant known as the Coulomb's constant.

What are the two types of charges and how do they interact?

The two types of charges are positive and negative. Like charges (both positive or both negative) repel each other, while opposite charges (positive and negative) attract each other. This interaction is the basis of electrostatic force.

Can the location of a second charge affect the electrostatic force?

Yes, the location of a second charge can affect the electrostatic force between two charged particles. If the distance between the charges decreases, the force increases, and if the distance increases, the force decreases. The direction of the force also depends on the location of the second charge in relation to the first charge.

What are some real-life applications of electrostatic force?

Electrostatic force has many real-life applications, including the functioning of batteries, the operation of electronic devices such as TVs and computers, and the attraction of dust particles to a charged surface in air purifiers. It is also used in industrial processes such as painting and printing, and in medical procedures such as electrocardiograms and electroencephalograms.

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