*Question G5C06:
What is the voltage output of a transformer with a 500-turn primary and a 1500-turn secondary when 120 VAC is applied to the primary?*  

*Correct Answer is  A: 360 volts*  

### AI Response: (may contain errors)  

To find the voltage output of a transformer, we can use the transformer turns ratio formula:

$$
\frac{V_s}{V_p} = \frac{N_s}{N_p}
$$

where:
- $V_s$ = secondary voltage
- $V_p$ = primary voltage
- $N_s$ = number of turns in the secondary
- $N_p$ = number of turns in the primary

In this case:
- $N_p = 500$ turns (primary)
- $N_s = 1500$ turns (secondary)
- $V_p = 120$ VAC (applied to the primary)

Now, we can rearrange the formula to solve for $V_s$:

$$
V_s = V_p \times \frac{N_s}{N_p}
$$

Substituting the values:

$$
V_s = 120 \, \text{VAC} \times \frac{1500}{500}
$$

Calculating the ratio:

$$
\frac{1500}{500} = 3
$$

Now, substituting back into the equation:

$$
V_s = 120 \, \text{VAC} \times 3 = 360 \, \text{VAC}
$$

### Explanation of the Correct Answer:
- The correct answer is **360 volts** because the transformer steps up the voltage by a factor of 3 due to the turns ratio of 1500:500.

### Explanation of Incorrect Choices:
- **A: 360 volts**: This is the correct answer as shown above.
- **B: 120 volts**: This would be the output voltage if the transformer had a 1:1 turns ratio, which is not the case here.
- **C: 40 volts**: This value does not correspond to any calculation based on the given turns ratio and primary voltage.
- **D: 25.5 volts**: This value is also incorrect and does not relate to the turns ratio or the primary voltage.

### Summary:
- Use the transformer turns ratio formula to determine the secondary voltage.
- The turns ratio indicates how the voltage is transformed based on the number of turns in the primary and secondary coils. In this case, the transformer increases the voltage from 120 VAC to 360 VAC.