Final answer:
To find the average power delivered to the secondary of a 100% efficient step-down transformer, calculate the secondary voltage using the primary voltage and the turns ratio, then multiply the secondary voltage by the secondary current. With a turns ratio of 26:1, primary voltage of 780 V, and secondary current of 26 A, the power output is 780 W.
Step-by-step explanation:
The student is asking about the power delivery of a step-down transformer with a given turns ratio and how to calculate the average power output assuming 100% efficiency. The transformer has a primary to secondary turns ratio of 26:1, an input voltage of 780 V rms on the primary side, and delivers a current of 26.0 A rms on the secondary side. To calculate the power delivered to the secondary (Paverage), we use the formula P = V × I, where P is power, V is voltage, and I is current. Since the transformer is 100% efficient, the power input equals the power output (Pp = Ps).
To find the output voltage (Vs), we can use the turns ratio and the input voltage (Vp), which gives us Vs = Vp / Turns Ratio. From this, we get Vs = 780 V / 26 = 30 V. Now, we use the secondary voltage and current to find the power delivered to the secondary: Paverage = Vs × Is, which results in Paverage = 30 V × 26 A = 780 W. This is the average power delivered to the secondary coil.