I need to prove that the electric force is a conservative force. For that I need to calculate the work done on one particle for two different paths. The first one is simple because the angle between the force and the displacement is 0 for the entire path and thus cos teta is just equal to 1. I...
So how can I get rid off the cos teta since it is a dot product inside my integral ?
Should I only consider the variable as my distance r initial and r final even though the angle between the displacement and the force is changing ?
But in the case showed in Wikipedia the angle is either 0 degrees or 180 that is why they don't consider the angle. But in my case, the angle between the force and the displacement is not the same and the force is not constant. Do I still just need to set up one integral for just the force ? But...
I was just wondering if I needed to set up this double integral or not. I've never seen anywhere people setting up double integrals for calculating the work.