In the space atmosphere, plasma with two electron components is very common. The cold species of electron (\(T_{e}\sim 1\) eV) usually originate in the ionosphere, while the hot electron species (\(T_{e}\sim 100\) eV) appear from the magnetosphere. In addition to these two electron species, there may be a beam of electrons streaming along the magnetic field lines. These electrons are responsible for exciting various electrostatic wave modes. Several authors have investigated such a system in the recent past. In this article, we revisit the problem and provide some more beam energy-based systemic insights.