When we calculate electric potential energy of a two particle system, say first I bring +q1$+q_1$ and then I bring +q2$+q_2$ against q1's$q_1$'s electric field. Say I get tha q2that $q_2$ charge to a point r$r$ distance away from q1$q_1$. Now potential V1$V_1$ at that point ( where q2where $q_2$ resides) due q1$q_1$ is kq1/r^2$kq_1/r^2$ and hence the potential energy of q2$q_2$ is = q2(V1)= kq1q2/r $q_2V_1= kq_1q_2/r$.Similarly
Similarly, at the point where q1$q_1$ resides, which is again r$r$ distance away from q2$q_2$, the potential V 2$V_2$ at that point due to q2$q_2$ is kq2/r^2$kq_2/r^2$. And henceHence the potential energy of q1$q_1$ becomes q1(V2)= kq1q2/r$q_1V_2= kq_1q_2/r$.
So, the potential energy of both the charges are same and hence when we talk about the potential energy of the system, it should be 2(kq1q2/r)$2(kq_1q_2/r)$. But in books it's written that the potential energy of a two particle system is kq1q2/r ( why$kq_1q_2/r$. Why is it not it's twice that?)
I agree that the time when only q1 charge $q_1$ arrived (with no other charge present) the potential energy of be q1 charge $q_1$ at that time will be zero but after the arrival of q2 charge $q_2$ in the presence of q1 $q_2$, then offof course the potential of q2 exist$q_2$ exists but at the same time potential of the q1 charge $q_1$ will also exist as q2$q_2$ has its potential created at the point where q1$q_1$ resides, and hence q1$q_1$ would also have potential energy. And hence potential energy of the system should be the potential energy of q1$q_1$ and q2$q_2$ and it is 2(kq1q2/r)$2(kq_1q_2/r)$, but why indo books it's written as kq1q2/r?
Advanced Thank you for answering my questionclaim it is - as I had earlier posted a question and I got 100% correct answer and I am completely satisfied with this site. Plz answer the above question in the same way u previously used to$kq_1q_2/r$?