Electrostatics deals with the study of forces, fields and potentials arising from static charges. Force and electric field, due to a point charge is basically determined by Coulomb's law. For symmetric charge configurations, Gauss's law, which is also based on Coulomb's law, helps us to find the electric field. A charge/a system of charges like a dipole experience a force/torque in an electric field. Work is required to be done to provide a specific orientation to a dipole with respect to an electric field. Answer the following questions based on the above:
An electric dipole of dipole moment `vec p` is initially kept in a uniform electric field `vec E` such that `vec p` is perpendicular to `vec E`. Find the amount of work done in rotating the dipole to a position at which `vec P`becomes antiparallel to `vecE` .