1. The problem statement, all variables and given/known data 25cm to the right of a 0.5 microcoulomb charge is a -1.2 microcoulomb charge. Where (relative to the 0.5 microcoulomb charge) would a free electron be if the net electric force on the electron is zero? 2. Relevant equations Fe=kq1q1/r2 E=kq/r2 3. The attempt at a solution I keep attempting to combine the equations F=kq1p/r2 with F=kq2p/r2, but obviously I keep ending up canceling out the r's, which doesn't exactly help me find the distance I'm looking for here. I could find the electric field for q1 compared to q2 and vice versa, but I can't see how that would help me with finding the electric field at the electron, since I don't know the distance of either point to the electron. I don't know the force between the electron and either charge, only that they cancel out, so I can't find distance that way. This seems like it should be a really simple question, but I'm so burnt out on summer classes! Help! Edit: New attempt possibly solved it, I found E for both q1 to q2 and q2 to q1, added that to get the E for the electron, and used that with q2 to find the charge relative to q2. I subtracted that from the distance between q1 and q2 to get a distance that makes sense to me. (the electron is 0.0773m to the left of q1) Am I right? Who knows. My brain is shutting down for the rest of the day.