While doing electromagnetic analysis using FEM (Finite element method), if we can implement the underlying symmetric nature of the problem, there will be significant reduction in the computational cost. Symmetric nature of the problem can be identified from the given physical loading and boundary conditions of the problem. But for electromagnetic analysis in potential formulation, it is not very straight forward to implement the symmetric boundary condition. In the present work, a novel implementation of symmetric boundary condition in potential formulation within nodal framework, has been demonstrated. The implementation has been carried out in both electromagnetic harmonic and transient analysis for a wide range of radiation and scattering problems. A significant reduction in computational cost is achieved as compared to the existing formulation.