25 kVA to watts
Understand the Problem
The question is asking how to convert 25 kVA (kilo-volt-amperes) to watts. This involves applying the relationship between these two units, taking into account power factor if necessary.
Answer
$25000 \, W$
Answer for screen readers
The equivalent power in watts is $25000 , W$.
Steps to Solve
- Identify the relationship between kVA and Watts
The conversion from kVA to Watts depends on the power factor (PF) of the load. The formula is: $$ P (W) = S (kVA) \times 1000 \times PF $$
- Assume a power factor if not provided
If the power factor is not specified, a common assumption is that the load is purely resistive, which means the power factor is 1. In this case: $$ PF = 1 $$
- Substitute the given values into the formula
Using the provided value of 25 kVA and the assumed power factor: $$ P (W) = 25 \times 1000 \times 1 $$
- Calculate the result
Carrying out the multiplication yields: $$ P (W) = 25000 $$
The equivalent power in watts is $25000 , W$.
More Information
This conversion is commonly used in electrical engineering to determine the actual power consumed by an electrical device from its kVA rating. The power factor represents the efficiency of the load, where a power factor of 1 indicates optimal efficiency.
Tips
- Forgetting to consider the power factor, which can lead to incorrect calculations.
- Assuming a power factor of 1 without verifying if the load is resistive.
