What is the equation for calculating the electric field and charges?

In summary, the conversation discusses the use of Coulomb's law to calculate the electric field at a given point, specifically point A. The formula for the electric field is given and it is suggested to work in vector form for easier calculation. Different approaches are discussed, including considering both the x and y components of the electric field and the possibility of the x field being cancelled out. The conversation concludes with the reminder to give the problem a fair try before seeking further help.
  • #1
johnhunk
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  • #2
Are you talking about part 1 or 2?
Are you trying to calculate the field at point A?

In that case, are you used to working with the coulomb law in it's vector form? It'll be much easier working in this form, with this formula:
The field E inflicted by a point charge q situated at point A on point B is:
[itex]\vec{E} = \frac{kq}{d^{3}}\vec{AB}[/itex]

where d is the distance between A and B and K is the Coulomb constant.
Writing everything in vector form should be pretty simple.

If you're totally unfamiliar with the vector form, you have no choice but to calculate separately the x and y components of the electrical field at the point A from the two different charges. That would be 4 different calculations involving trigonometry and is pretty tiring.

If you're still stuck you'll get further help, but give it a fair try first.

Btw the x fields might cancel out and might not. You have to calculate it - it isn't trivial, since the charges aren't equal and so aren't the distances between them and point A.

Good luck!
 
  • #3
i mean part b.
 
  • #4
According to your solution, there's a field acting both on the y and on the x axes. A charge located at point B would not be able to cancel out the x field, only the y field.

If I read something wrong and there was no x field cause it canceled out, what you said is of course right - you need exactly the same y field in the opposite direction. You know the expression for an electrical field, use it to get q.
 
  • #5


The equation for calculating the electric field is E = k * Q / r^2, where E is the electric field, k is the Coulomb's constant (8.99 x 10^9 N * m^2 / C^2), Q is the charge of the object, and r is the distance between the object and the point where the electric field is being measured.

To calculate the charges, you can rearrange the equation to Q = E * r^2 / k. This equation allows you to determine the charge of an object if you know the electric field and the distance from the object.

It is important to note that this equation only applies to point charges and can be used to calculate the electric field and charges for multiple point charges by using the principle of superposition. Additionally, this equation assumes that the charges are stationary and do not create a changing magnetic field. In cases where there is a changing magnetic field, the full equation for the electric field, known as Maxwell's equation, must be used.
 

1. What is an electric field?

An electric field is a region in space where an electric charge experiences a force. It is represented by a vector quantity and is created by the presence of other electric charges.

2. How is an electric field calculated?

The strength of an electric field is determined by the magnitude and direction of the electric charge and the distance between the charges. The electric field 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.

3. What is the unit of electric field?

The unit of electric field is Newtons per Coulomb (N/C) in SI units. In other systems of units, it can also be expressed as volts per meter (V/m).

4. How do electric charges interact with an electric field?

Electric charges interact with an electric field by exerting a force on each other. Positive charges are attracted to negative charges, while like charges repel each other. The strength and direction of the force depend on the magnitude and direction of the electric field.

5. What is the difference between electric potential and electric field?

Electric potential is a scalar quantity that represents the potential energy per unit charge at a specific point in an electric field. It is measured in volts (V). On the other hand, electric field is a vector quantity that represents the force per unit charge exerted by the electric field on a charge. It is measured in N/C or V/m.

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