POTENTIAL ENERGY IN AN EXTERNAL FIELD Potential energy of a system of two charges Let V(r) be the external electric field Potential energy of Cloze (1): the second charge due to q1a single chargethe second charge due to V(r)the configuration JXUwMDM5JXUwMDQxJXUwMDUzJXUwMDFhJXUwMDA3JXUwMDA5JXUwMDBiJXUwMDA5JXUwMDQ1JXUwMDQzJXUwMDBiJXUwMDA5JXUwMDEzJXUwMDE1JXUwMDAy , ie Potential energy of q1 at r in an external field = q1V(r) Potential energy of Cloze (2): the second charge due to q1a single chargethe second charge due to V(r)the configuration JXUwMDJjJXUwMDFjJXUwMDBkJXUwMDQ1JXUwMDUzJXUwMDE2JXUwMDA2JXUwMDBjJXUwMDAxJXUwMDBhJXUwMDQ0JXUwMDQzJXUwMDBiJXUwMDA5JXUwMDEzJXUwMDE1JXUwMDAyJXUwMDQ1JXUwMDQ0JXUwMDExJXUwMDEwJXUwMDQ1JXUwMDU0JXUwMDFiJXUwMDRmJXUwMDc2JXUwMDdlJXUwMDVhJXUwMDVi , Work done on q2 against the external field = q2 V(r2) Potential energy of Cloze (3): the second charge due to q1a single chargethe second charge due to V(r)the configuration JXUwMDJjJXUwMDFjJXUwMDBkJXUwMDQ1JXUwMDUzJXUwMDE2JXUwMDA2JXUwMDBjJXUwMDAxJXUwMDBhJXUwMDQ0JXUwMDQzJXUwMDBiJXUwMDA5JXUwMDEzJXUwMDE1JXUwMDAyJXUwMDQ1JXUwMDQ0JXUwMDExJXUwMDEwJXUwMDQ1JXUwMDU0JXUwMDFiJXUwMDRmJXUwMDUxJXUwMDQw , Work done on q2 against the field due to q1 = (q1 q2) ÷ (4πε0r12) Potential energy of Cloze (4): the second charge due to q1a single chargethe second charge due to V(r)the configuration JXUwMDJjJXUwMDFjJXUwMDBkJXUwMDQ1JXUwMDQzJXUwMDBjJXUwMDAxJXUwMDA4JXUwMDBmJXUwMDBlJXUwMDEyJXUwMDA3JXUwMDEzJXUwMDE1JXUwMDFkJXUwMDA2JXUwMDAx , the total work done in assembling the configuration = q1V(r) + q2 V(r2) + (q1 q2) ÷ (4πε0r12) Enable JavaScript
Potential energy of a system of two charges Let V(r) be the external electric field Potential energy of Cloze (1): the second charge due to q1a single chargethe second charge due to V(r)the configuration JXUwMDM5JXUwMDQxJXUwMDUzJXUwMDFhJXUwMDA3JXUwMDA5JXUwMDBiJXUwMDA5JXUwMDQ1JXUwMDQzJXUwMDBiJXUwMDA5JXUwMDEzJXUwMDE1JXUwMDAy , ie Potential energy of q1 at r in an external field = q1V(r) Potential energy of Cloze (2): the second charge due to q1a single chargethe second charge due to V(r)the configuration JXUwMDJjJXUwMDFjJXUwMDBkJXUwMDQ1JXUwMDUzJXUwMDE2JXUwMDA2JXUwMDBjJXUwMDAxJXUwMDBhJXUwMDQ0JXUwMDQzJXUwMDBiJXUwMDA5JXUwMDEzJXUwMDE1JXUwMDAyJXUwMDQ1JXUwMDQ0JXUwMDExJXUwMDEwJXUwMDQ1JXUwMDU0JXUwMDFiJXUwMDRmJXUwMDc2JXUwMDdlJXUwMDVhJXUwMDVi , Work done on q2 against the external field = q2 V(r2) Potential energy of Cloze (3): the second charge due to q1a single chargethe second charge due to V(r)the configuration JXUwMDJjJXUwMDFjJXUwMDBkJXUwMDQ1JXUwMDUzJXUwMDE2JXUwMDA2JXUwMDBjJXUwMDAxJXUwMDBhJXUwMDQ0JXUwMDQzJXUwMDBiJXUwMDA5JXUwMDEzJXUwMDE1JXUwMDAyJXUwMDQ1JXUwMDQ0JXUwMDExJXUwMDEwJXUwMDQ1JXUwMDU0JXUwMDFiJXUwMDRmJXUwMDUxJXUwMDQw , Work done on q2 against the field due to q1 = (q1 q2) ÷ (4πε0r12) Potential energy of Cloze (4): the second charge due to q1a single chargethe second charge due to V(r)the configuration JXUwMDJjJXUwMDFjJXUwMDBkJXUwMDQ1JXUwMDQzJXUwMDBjJXUwMDAxJXUwMDA4JXUwMDBmJXUwMDBlJXUwMDEyJXUwMDA3JXUwMDEzJXUwMDE1JXUwMDFkJXUwMDA2JXUwMDAx , the total work done in assembling the configuration = q1V(r) + q2 V(r2) + (q1 q2) ÷ (4πε0r12) Enable JavaScript