Calculating the magnitude of point charges

AI Thread Summary
To calculate the electric field at the point (x = -1 m, y = 0) due to the point charges of -6 µC and 12 µC, both the x and y components of the electric field must be determined and summed, as the point is not collinear with the charges. The electric field's magnitude was initially calculated as 1.08e4 N/C, but the direction must also be considered for a complete solution. For part (b), the force on an electron at the same point can be calculated using the electric field found in part (a). The necessity of using vector components arises from the two-dimensional nature of the problem, which requires careful consideration of direction. Understanding these components is crucial for accurately solving the problem.
ezperkins
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Homework Statement


A point charge of -6 µC is located at x = 1 m, y = -2 m. A second point charge of 12 µC is located at x = 1 m, y = 3 m.

(a) Find the magnitude and direction of the electric field at x = -1 m, y = 0.


(b) Calculate the magnitude and direction of the force on an electron at x = -1 m, y = 0.


Homework Equations





The Attempt at a Solution



\Sigma_{F}= k\frac{-6 \mu C}{8} + k\frac{12 \mu C}{13} = 1.08e4 \frac{N}{C}


That's for the magnitude part of A. I've already submitted to many incorrect responses, but I would like to know how to do it. Thanks ahead of time.
 
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ezperkins said:

Homework Statement


A point charge of -6 µC is located at x = 1 m, y = -2 m. A second point charge of 12 µC is located at x = 1 m, y = 3 m.

(a) Find the magnitude and direction of the electric field at x = -1 m, y = 0.


(b) Calculate the magnitude and direction of the force on an electron at x = -1 m, y = 0.


Homework Equations





The Attempt at a Solution



\Sigma_{F}= k\frac{-6 \mu C}{8} + k\frac{12 \mu C}{13} = 1.08e4 \frac{N}{C}


That's for the magnitude part of A. I've already submitted to many incorrect responses, but I would like to know how to do it. Thanks ahead of time.

You need to find both the x and y components from each charge at the point of interest and add them up accordingly to find the resultant field.
 
I did that for another problem that asked for the respective components, why is it necessary that I so that for this problem?
 
Since I don't know what the other question was, I can't tell you what's different. You need to do vector components because the point of interest is not on the same line as the two charges. It is a two dimensional situation. Have you tried what I suggested?
 
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