Final answer:
To determine the secondary coil turns and output currents in a multi-purpose transformer, we apply the transformer equation relating the voltage and number of turns between the primary and secondary coils and the conservation of power principle.
Step-by-step explanation:
Understanding the Transformer Equation
To solve problems involving a multi-purpose transformer, we apply the transformer equation, which relates the voltages and turns in the primary and secondary coils. The equation states that the secondary voltage to primary voltage ratio equals the secondary coil turns to primary coil turns ratio. For a transformer with a 240V input and a primary coil of 280 turns, we can calculate the number of turns in the secondary coil needed to produce the specified output voltages of 5.60V, 12.0V, and 480V.
To address part (b), we apply the principle of conservation of power in an ideal transformer, where input power equals output power, to determine the maximum output currents for each voltage when a maximum input current of 5.00A is used.
By understanding these principles, we can also address other scenarios where transformers are used for stepping up or stepping down voltages in various applications, from utility poles to plug-in transformers for electronic devices.