What is the full-load current rating of a 150kVA, three-phase transformer operating at 240v?

To determine the full-load current rating of a transformer, you can use the formula for three-phase systems, which is:

[ I = \frac{ kVA \times 1000}{\sqrt{3} \times V} ]

In this case, the transformer is rated at 150 kVA and operates at a voltage of 240 V. Plugging the numbers into the formula looks like this:

1. Convert kVA to watts by multiplying by 1000:

• ( 150 kVA = 150 \times 1000 = 150,000 ) watts

2. Calculate the full-load current:

• ( I = \frac{150,000}{\sqrt{3} \times 240} )

3. Calculate ( \sqrt{3} ):

• ( \sqrt{3} \approx 1.732 )

4. Now plug in the values:

• ( I = \frac{150,000}{1.732 \times 240} )

• ( I = \frac{150,000}{415.68} \approx 360.5 )

This rounds to approximately 362, which corresponds to the first choice provided.