To determine the secondary amperage of a 1 kVA (1000 VA) transformer with a primary rating of 120 volts and a secondary rating of 12 volts, follow these steps:
1. Understand the transformer ratings:
- A transformer rated at 1 kVA (1000 VA) means it can handle 1000 volt-amperes of power.
- The primary rating is 120 volts, which is the voltage on the primary side of the transformer.
- The secondary rating is 12 volts, which is the voltage on the secondary side of the transformer.
2. Use the formula for power in volt-amperes (VA):
- The power formula is given by [tex]\( P = V \times I \)[/tex], where [tex]\( P \)[/tex] is power, [tex]\( V \)[/tex] is voltage, and [tex]\( I \)[/tex] is current (amperage).
3. Rearrange the formula to solve for secondary amperage (I):
- To find the secondary amperage, you can rearrange the formula to [tex]\( I = \frac{P}{V} \)[/tex].
4. Substitute the known values into the formula:
- Here, [tex]\( P \)[/tex] is 1000 VA, and the secondary voltage [tex]\( V \)[/tex] is 12 volts.
- So, [tex]\( I = \frac{1000}{12} \)[/tex].
5. Calculate the secondary amperage:
- Performing the division, [tex]\( I = \frac{1000}{12} \)[/tex].
- This results in [tex]\( I = 83.33333333333333 \)[/tex].
Therefore, the secondary amperage of the transformer is approximately 83.33 Amperes.
So the correct answer is:
- 83.33
