# Solving Force of Charges Problem - 1nC Charge in Middle

• cemar.
In summary, the conversation is about determining the force on a 1nC charge in the middle of a square due to four other charges located at the corners of the square. Using the force equation and a force diagram, the y components of the force cancel out and the magnitude of the force is equal to the x components. After calculating the magnitude and using cosine and a 45 degree angle, the x component is multiplied by 4. The final answer determined was 5.1E-4, which is half of the actual answer.
cemar.

## Homework Statement

What is the force F on the 1nC charge in the middle due to the four other harges? Give your answer in component form.

There is a picture that i don't know how to get up so ill just describe it.

There are four charges in a square, length of square = 1cm. the two charges on the left corners of the square are -2nC and the two charges on the right corners of the square are +2nC. There is a charge in the middle of the square of +1 nC.

## Homework Equations

I'm just using F= (kq1q2/r^2)

## The Attempt at a Solution

so what I am doing is a force diagram and from that i know that the y components cancel out. the magnitude of the forces is equal, therefore their x components will be equal. Using the force equation under step two i determined the magnitude of the force and from that was able to determine the x component with cosine and a 45 degree angle. I then multiplied the x component by 4.
The answer i ended up with was 5.1E-4 where the real answer is actually double that.

Thanks!

The concept is correct. There must have been some arithmetical mistake somewhere. Show your calculations briefly.

I would like to commend you on your approach to solving this problem. It is important to start with a force diagram and use the correct equation (Coulomb's Law in this case) to determine the magnitude and direction of the force. Additionally, taking into account the symmetry of the charges and using trigonometry to determine the components is a valid method.

However, it seems that you may have made a small error in your calculations. When determining the x component of the force, the angle should be 45 degrees (not cosine of 45 degrees) and you should only multiply by 2, not 4. This would result in a final answer of 1.02E-3, which is double the value you obtained.

Overall, your approach is sound and with some minor adjustments, you were able to obtain the correct answer. Keep up the good work!

## What is a 1nC charge and why is it important in this problem?

A 1nC (nanocoulomb) charge is a unit of measurement for electric charge. In this problem, it is important because it is the source of the electric field and the force being calculated.

## What is the concept of force of charges and how is it calculated?

The force of charges is the force exerted on a charged particle by an electric field. In this problem, it is calculated using Coulomb's Law, which 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.

## How do you determine the direction of the force of a 1nC charge in the middle?

The direction of the force of a 1nC charge in the middle can be determined using the principle of superposition. This means that the total force on the charge is the vector sum of all the individual forces from the other charges in the system.

## What are the factors that can affect the force of a 1nC charge in the middle?

The force of a 1nC charge in the middle can be affected by the magnitude and direction of the other charges in the system, as well as the distance between them. The presence of other electric fields or conductive materials in the surrounding environment can also influence the force.

## How can the force of a 1nC charge in the middle be applied in real-world situations?

The concept of force of charges has applications in various fields such as electrical engineering, physics, and chemistry. It is used to understand and manipulate electric fields, which are essential in technologies such as electronics, power generation, and medical imaging.

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