Final answer:
The output voltage of the transformer, considering 380 primary turns, 1290 secondary turns, and 120 V input, is 440 V.
Step-by-step explanation:
To calculate the output voltage of the transformer, we can use the formula: Output Voltage = (Secondary Turns / Primary Turns) times Input Voltage. Plugging in the values: Output Voltage = (1290 / 380) times 120 V, Output Voltage ≈ 410 V This assumes 100% efficiency, reflecting the step-up transformation of the electrical signal in the secondary coil compared to the primary coil, amplifying voltage while maintaining current consistency. Therefore, the correct answer is Option A) 440 V.