Transformers emit a humming sound primarily due to the interaction between the magnetic field and structural gaps in their design, particularly when connected to a 50 Hz AC supply. The humming frequency is typically 100 Hz, as the magnetic field reverses direction twice within one cycle. Poor transformer design, including gaps in the iron core, contributes significantly to this noise. More efficient transformers utilize a toroidal design to minimize magnetic field leakage, although this construction is more complex. Understanding these principles can help in addressing transformer noise issues.