Final answer:
The complex power (S) is calculated using the formula S = P + jQ. For a real power (P) of 270 W and a capacitive reactive power (Q) of 160 VAR, the complex power would be 270 W - j160 VAR.
Step-by-step explanation:
To find the complex power (S) when the real power, P, is 270 W, and the reactive power, Q, is 160 VAR (Capacitive), we use the formula: S = P + jQ
Where S is the complex power, P is the real power, and Q is the reactive power (positive for inductive, negative for capacitive). Since the reactive power is capacitive, we'll have a negative Q.
Thus: S = 270 W - j160 VAR
The complex power in this case is 270 W - j160 VAR.