Final answer:
The transformer is a step-down transformer because the output voltage is less than a typical household input voltage.
Assuming 100% efficiency and using the provided output power and input current, the calculated input voltage is 3.21V.
Step-by-step explanation:
To determine whether the transformer is a step-up or step-down transformer, we need to compare the input and output voltages.
Since we're given that the output voltage is 9.0V and we're typically dealing with an input voltage of around 110V or 120V for household devices, this would suggest that the transformer is a step-down transformer because the output voltage is less than the common input voltage.
We can calculate by what factor the voltage is multiplied by using the power and current information. Assuming 100% efficiency for the transformer, the power output is equal to the power input.
So using the given output power of 77W and input current of 24A, we need to find the input voltage using the formula Power (P) = Voltage (V) x Current (I), where P is the power in watts, V is the voltage in volts, and I is the current in amperes.
Using the formula, we have:
77W = Input Voltage (V) x 24A
Input Voltage (V) = 77W / 24A
≈ 3.21V