In 1979, after plasma envelope exploration, Voyager 1 and 2 revealed that Jovian magnetosphere consists of an unusual mixture of ions like hydrogen, sulphur, oxygen etc., in similar proportions. The present study observed that the waves in Jovian magnetosphere propagate in whistler-mode, with some similarities to whistler-mode auroral hiss in the Earth’s magnetosphere. The dispersion relation has been deduced and calculated in detail for oblique propagating waves in presence of parallel AC electric field for bi-Maxwellian distribution function. Magnetic field model for different values of latitude at radial distance $17 R_{J}$ has been reported. By using the method of characteristic solution, relativistic growth rate has been calculated. Data provided by spacecrafts like Pioneer 10 and 11, Voyager 1 and 2, while exploring the magnetosphere of Jupiter, has been used to plot graphs of variation of growth rate for different values of various plasma parameters like temperature anisotropy, angle of wave propagation, AC frequency etc. The effect on growth rate by these plasma parameters is shown by graphs.