From the table cos 30° = .866, hence
true watts = 200 × 1,000 × .866 = 173.2 kw.
Fig. 1,359.—Diagram for obtaining the active component of the current in a circuit having a current of 200 amperes and angle of lag of 30°.
EXAMPLE II.—If in an alternating current circuit, the voltmeter and ammeter readings be 110 and 20 and the angle of lag 45°, what is the apparent power and true power?
The apparent power is simply the product of the current and pressure readings or
apparent power = 20 × 110 = 2,200 watts
The true power is the product of the apparent power multiplied by the cosine of the angle of lag. Cos 45° = .707, hence
true power = 2,200 × .707 = 1,555.4 watts.