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1. Expression for the magnitude of an electric field

Thank you. I'm just wondering, the problem says q1 is greater than q2, and both are positive, so wouldn't I subtract E1-E2? Do I integrate both and then subtract?

3. Expression for the magnitude of an electric field

k(q_1-q_2)/(R^2+x^2)^3/2
4. Help with Coulomb's law: Net electrostatic force

That makes perfect sense. Thank you.
5. Help with Coulomb's law: Net electrostatic force

I tried to explain it further in my reply to haruspex.
6. Help with Coulomb's law: Net electrostatic force

these are my equations. Basically in terms of a right triangle, I used the "legs" to calculate for each vector component instead of the hypotenuse as the whole force.
7. Help with Coulomb's law: Net electrostatic force

Right, I tried that answer and it was marked wrong, so I tried finding the force for the individual vector components (table in the lower left), by using just the distance in the x and y directions, but in meters in place of "d" for d^2. Then I added the components (i of q2 + i of q3, j of q2 +j...
8. Help with Coulomb's law: Net electrostatic force

Thank you! I tried uploading a picture of my work but I couldn't figure out how to initially. Also here's the original problem in all it's glory.
9. Help with Coulomb's law: Net electrostatic force

I tried just calculating the force with Coulomb's law, then calculating the forces for each vector individually and adding, but I got it wrong both ways