1. The problem statement, all variables and given/known data A force of 5.7 N. is exerted on a 8.8 microCoulomb charge in a downward direction. What is the magnitude of the electric field (in N./C.) at this point? 2. Relevant equations E = (kel * abs(q)) / r^2\ E = Fel / q 3. The attempt at a solution 8.8 microcoulombs --> 8.8e-6 Coulombs At first I tried using: E = (8.99x9)(8.8e-6) / r^2 But I didn't understand how I was supposed to find the radius. If it were a square, rectangle, triangle etc. and given some more information I could use trigonometry to determine the radius. The equation is for a point charge, though. I then used E = Fel / q and simply plugged and chugged to get the right answer. My question, though, is when do I use the E = Fel / q and when do I use the E = kq/r^2 equation? Is the point charge for when two points are being compared to each other and the E = Fel/q is for one item?
The first equation (F_{el} = Eq) is true in general--it relates the field to the force produced by that field on a particular charge. The second equation is for finding the field due to a point charge. (Which wasn't relevant here, as you were not given any information about the source of the field, only the force it produced on a given charge.)