What is the output KW of a transformer rated at 5000 KVA with a power factor of 80%?

To find the output in kilowatts (KW) of a transformer, you can use the formula that relates KVA (kilovolt-amperes), power factor, and KW (kilowatts):

[

KW = KVA \times \text{Power Factor}

]

In this case, the transformer is rated at 5000 KVA, and the power factor is given as 80%, which can be expressed as 0.8.

Substituting the values into the formula:

[

KW = 5000 \times 0.8

]

[

KW = 4000

]

Thus, the output of the transformer is 4000 KW.

This figure effectively represents the real power that the transformer can supply, considering the power factor. The power factor is a crucial element to account for, as it indicates how effectively the electrical power is being converted into useful work output. A power factor less than 1 (or 100%) signifies that not all the apparent power (KVA) is being used for active power (KW).

Therefore, the calculation shows that the correct output for a transformer rated at 5000 KVA with a power factor of 80% is