Finding Electric Field at a Given Position due to Point Charges

  • Thread starter IsmailKemal
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In summary, the task is to calculate the electric field at a given position due to two point charges +q and -q located on the z axis with a separation d. The values given are q=10^-8 c, P(1 1 1), and d=0.1m. The relevant equation is E=1/4*pi*Eo*r^3*[(3*r'*p'*r'/r^2)-p'], where p'=q*d' (d<<r). There is a discussion about the placement of the origin, but it ultimately does not affect the solution as long as the coordinate system is clearly stated.
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IsmailKemal
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Homework Statement



Calculate the electric field at a given position due to two point charges +q and -q located on the z axis with a separation d.
q=10^-8 c
P(1 1 1)
d=0.1m

Homework Equations


E=1/4*pi*Eo*r^3*[(3*r'*p'*r'/r^2)-p']
p'=q*d' (d<<r)

The Attempt at a Solution


I think +q charge on the positive z axis and -q charge on the negative z axis so r'=p-(0 0 0). Is that wrong ?
The charges on the z axis with separation d so happy mean d/2 on the z direction. Can ı write r'=p-(0 0 d/2) ?
Which one ı choose ?
 
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It doesn't matter as long as you state your coordinate system. I would set the origin at the midpoint since it will yield a symmetric form.
 
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FAQ: Finding Electric Field at a Given Position due to Point Charges

1. How do I know which values to plug in for r?

The value of r can depend on the specific equation or problem you are working on. It is important to carefully read the instructions or problem statement to determine the appropriate values to use for r.

2. Where can I find the value of r?

The value of r can be found in a variety of sources such as textbooks, scientific journals, or online databases. It is important to ensure that the value you are using is the most accurate and up-to-date for your specific problem.

3. Do I need to convert units for r when using it in an equation?

This depends on the units used in the equation and the units of the value you are using for r. If the units do not match, then conversion may be necessary. It is important to pay attention to units when using r in equations to ensure accurate results.

4. Can I use the same value of r for different equations?

It is possible to use the same value of r for different equations if the equations are related and have the same units. However, it is important to be cautious and make sure that the value of r is appropriate for each individual equation you are using it in.

5. How do I calculate the value of r if it is not given?

The method for calculating the value of r will depend on the specific problem you are working on. In some cases, it may be possible to use measurements or data to calculate r, while in others, it may need to be estimated based on prior knowledge or assumptions. It is important to carefully consider the problem and any given information to determine the best approach for finding the value of r.

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