Hi all, I have a simple question related to electrostatics. We have the concept of electric field which is a vector field and makes sense. I am aware that it is just a virtual concept in fact, defined as force per unit charge, in other words, it doesn't exist. However, I understand the reason why we need such a concept. We also have electric potential concept, which is totally virtual (like the electric field); defined as the potential energy per unit charge. The problem is, I am not able to see the reason why we need such a concept in electrostatics. I have searched for it and learned that since electric potential is a scalar quantity, it simplifies the calculations that involves electric field, which is a vector field. However, this sentence doesn't satisfy me at all. In my book, most of the exercises related to electric potential subject asks for the calculation of electric potential. This is rather more like a "problem" than a "tool" that helps. In what kind of cases the concept of electric potential helps us ? Is there any example you could share with me ? Thanks in advance.