From the image above, I need to answer the following questions: 1a.. What the di

Question

From the image above, I need to answer the following questions:

1a.. What the direction of the force that the -2mC charge (the one on the right) exerts on the 4mC charge (which is at the origin)

I just want to make sure I am thinking about it right, I have that it is in the positive x direction.

b. What is the magnitude of the FORCE that the -2mC charge exerts on the 4mC at the origin?

c. Calculate the x-component and y component of the net electric field at (0,2) due to the four charges shown.

I don't even really know where to start with this one. I was thinking of summing up the electric fields for each of the charges (the +2 and -2), but I don't know what value to use for r.

Explanation / Answer

a) you are right, it is in the positive x direction.
b) magnitude = 8.99*109 * 2*10-6 * 4*10-6/(4.0)2 N = 4.50*10-3 N

c) By symmetry, the electric fields at (0, 2) due to two +4C charges cancel each other.

the y components of electric fields at (0, 2) due to ±2 C charges cancel each other.

the x components of electric fields at (0, 2) due to ±2 C charges add each other with magnitude of

2*8.99*109 * 2*10-6/(4.02 + 2.02) * 4.0/(4.02 + 2.02) = 1.61*103 N/C

in +x direction

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