In the attached example from Hayt's book, we go through an example where we talk about adding a capacitor in parallel in order to improve the load factor of some industrial load. What I don't understand is how we can use \$S_1\$ that we computed first (when there was no capacitive load) and then use it again in the second case where we get \$S_2\$ by subtracting \$S_1\$ from \$S\$. Now I do understand that the addition of the capacitor will not change the amount of (real) average power consumed by the load, but how can we say that the reactive power consumed by the inductive motor is the same as before?
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