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We theoretically study Zitterbewegung behavior of electrons in graphene system when the external perpendicular magnetic field exists. The initial state is assumed as a wave packet shape which is the superposition of the positive and negative LLs. The evolution of the dipole moments and the excited electric fields are calculated for the localized and extended wave packets which exhibit different behavior. We further analyze their Fourier spectrum and study which factors affect the excited electric field as it can be directly detected in experiment. The results are analyzed and discussed.