Efficiency in transformers is influenced by several key factors, including the use of low resistance copper wires in the coils and high permeance core materials like soft iron, which enhance magnetic flux. Laminated cores are essential for minimizing eddy currents, which can cause energy losses, while soft iron's low hysteresis allows for effective operation at standard frequencies. The cross-sectional area of the wires also plays a crucial role; larger wires reduce resistance and heat loss. Frequency has a lesser impact on efficiency due to the properties of the core material. Overall, optimizing these elements is vital for achieving high transformer efficiency.