*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 determine the voltage output of a transformer, we 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 winding
- $N_p$ = number of turns in the primary winding

Given:
- $N_p = 500$ turns
- $N_s = 1500$ turns
- $V_p = 120 \text{ VAC}$

We need to find $V_s$. Rearrange the formula to solve for $V_s$:

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

Substitute the given values:

$$
V_s = 120 \times \frac{1500}{500}
$$

Simplify the fraction:

$$
V_s = 120 \times 3 = 360 \text{ volts}
$$

Thus, the correct answer is 360 volts (Choice A).

**Why the other choices are incorrect:**

- **Choice B: 120 volts**  
  This would be correct if the transformer had a 1:1 turns ratio, but here the secondary has more turns than the primary, leading to a higher voltage.

- **Choice C: 40 volts**  
  This would imply a step-down transformer with a turns ratio of 1:3, which is not the case here.

- **Choice D: 25.5 volts**  
  This value does not correspond to any logical turns ratio based on the given data.

The correct understanding of the turns ratio and its application to the voltage transformation is crucial for solving this type of problem.