# AC power analysis

A transformer rated at a maximum of 25 kVA supplies a 12-kW load at power factor 0.60 lagging. What percent of the transformer rating does this load represent? How many kW in additional load may be added at unity power factor before the transformer exceeds its rated kVA?

This is a question in one of my textbooks. I have solved the first part, comes 80%. For the second part I saw the solution in which they assumed that "reactive power " will remain same. I don't understand why?

The active power across the additional load is 7.2 kW, so this means total active power would be 12 + 7.2 = 19.2 and this is when power factor is unity, so S (complex power) = active power (19.2). But this is not the case, why?

• Are you saying you calculated 19.2 kW but the book says differently? – Eric Aug 7 '14 at 17:58