True or False: The voltages induced in each secondary winding of a single-phase transformer with a dual-voltage secondary are equal.

In a single-phase transformer with a dual-voltage secondary, the voltages induced in each secondary winding are indeed equal when considering ideal conditions. This is because both windings are connected to the same primary winding and are subjected to the same magnetic field created by the primary current. As a result, if the transformer is designed properly, the resistances and impedances in each secondary winding are balanced, leading to equal voltages being induced across each winding when they are unloaded or operating under similar conditions.

It's important to note that while the voltages remain equal under ideal circumstances, factors like winding resistance, load differences, and other real-world conditions can cause variations in voltage when loads are applied. However, the fundamental principle of equal induced voltage in each winding arises from their shared magnetic flux and design configuration. Thus, under the condition of no load or balanced load, the voltages are equal, making the statement true in this context.