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Find the complex power (S) for the following cases:

(a) Real power, P=270 W, and Reactive power, Q=160 VAR (Capacitive)

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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.

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