The concept of an effective nuclear magnetic field under Zeeman splitting conditions, also called the truncated field is presented. It provides an alternative description of nuclear magnetism of the polarized spin systems and gives a clear geometrical picture of internuclear interactions showing and elucidating their anisotropic character. This simple approach gives results entirely consistent with the conventional tensorial formalism, which appears to be a direct consequence of the truncated field symmetry. Although, the model entirely relies on classical electromagnetism, it provides an elegant explanation of the dipolar Hamiltonian structure and thus it can be easily adapted to the theory of nuclear magnetic resonance.