# Electromagnetism problem-ΣE on a point

• cotsiospower
In summary, the problem is asking for the ΣE (sum of electric fields) at a point, given a point charge and its direction angle. The relevant formula for this is E=(k*|q|)/r*r, where k is a constant and q is the charge. The teacher has not provided any useful information, but you can refer to your textbook or research online for the concept of electric charges and the force between them. You will also need to understand force vectors and their addition to solve this problem.
cotsiospower

## Homework Statement

Hi. I need help with the problem attached. I need to find the ΣE of the point and the direction angle... All information needed are on the attachment...

2. Homework Equations [

## The Attempt at a Solution

There is no attempt since the teacher said nothing relevant... :(

#### Attachments

• Untitled.png
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cotsiospower said:

## Homework Statement

Hi. I need help with the problem attached. I need to find the ΣE of the point and the direction angle... All information needed are on the attachment...

2. Homework Equations [

## The Attempt at a Solution

There is no attempt since the teacher said nothing relevant... :(

If the teacher hasn't stated anything relevant, then there's always the textbook

What formulas have you learned regarding electric charges?

the only thin i found is: E=(k*|q|)/r*r
where k=9*10^9
Any idea?

cotsiospower said:
the only thin i found is: E=(k*|q|)/r*r
where k=9*10^9
Any idea?

That is an expression that gives you the magnitude of the electric field due to a point charge (q) at some distance r. It's useful, and is almost right for what you need here.

A closely related expression gives the force that acts between two charges separated by distance r. Multiply the field that the above expression gives you by a second charge, say Q, and you get the force that each charge exerts on the other.

At this point I would suggest that you check your text or even investigate on the web the concept of "the force between electric charges". You will also need to learn about force vectors and the addition of vectors. These are some basic concepts there that you will need in order to solve this problem.

Hello,

The ΣE, or sum of electric fields, at a point can be found by adding together all the individual electric fields at that point. This can be done by using the formula ΣE = ∑E, where ∑E represents the sum of all the electric fields. To find the direction angle, you can use the formula tanθ = Ey/Ex, where Ey and Ex represent the y and x components of the electric field, respectively.

To solve this problem, you will need to first determine the individual electric fields at the point given in the attachment. This can be done by using the formula E = kQ/r^2, where k is the Coulomb's constant, Q is the charge, and r is the distance between the point and the source of the electric field. Once you have calculated the individual electric fields, you can add them together using the formula ΣE = ∑E.

To determine the direction angle, you will need to use the formula tanθ = Ey/Ex, where Ey and Ex are the y and x components of the electric field, respectively. You can find these components by using the formula Ey = E sinθ and Ex = E cosθ, where θ is the angle between the electric field and the x-axis.

I hope this helps you solve the problem. Good luck!

## 1. What is the concept of "ΣE on a point" in electromagnetism?

The concept of "ΣE on a point" refers to the sum of all electric fields acting on a single point in space. This includes both the electric fields from individual point charges and the electric fields from continuous distributions of charges.

## 2. How is "ΣE on a point" calculated in electromagnetism?

To calculate "ΣE on a point", you must first determine the direction and magnitude of each individual electric field acting on the point. Then, you can use vector addition to find the total electric field at that point. This can be represented mathematically as ΣE = E1 + E2 + ... + En, where En is the electric field from the nth charge or distribution.

## 3. What are some real-world applications of "ΣE on a point" in electromagnetism?

"ΣE on a point" is crucial in understanding the behavior of electric fields in various systems, such as electronic circuits, generators, and motors. It is also important in understanding the behavior of charged particles in magnetic fields, which is essential in fields like particle physics and astrophysics.

## 4. How does the concept of "ΣE on a point" relate to Gauss's Law?

Gauss's Law states that the electric flux through a closed surface is equal to the enclosed charge divided by the permittivity of free space. This law can also be used to calculate "ΣE on a point" by considering the electric flux through a small surface surrounding the point. The flux is equal to the sum of all electric fields passing through the surface, which can then be used to find the total electric field at the point.

## 5. How does the "ΣE on a point" concept apply to the behavior of electromagnetic waves?

In electromagnetic waves, the electric field and magnetic field are perpendicular to each other and both are perpendicular to the direction of wave propagation. The electric field is responsible for the oscillation of charged particles, while the magnetic field is responsible for the changing electric field. Therefore, the total electric field at a point in an electromagnetic wave is the sum of the electric fields from all the charged particles in the wave, which can be represented as ΣE = E1 + E2 + ... + En.

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