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which gives the total power produced in the balanced Y-connected system of Fig. 256 in terms of line voltage and line current. Problem 204 " In Fig. 256, suppose the generator phase voltage is 330 volts and Z 15 j9 ohms. Find the total power output of the generator. (Answer: 16,014.03 watts) Problem 205 In problem 204, show that the line currents lag the line voltages by approximately 618. Next, suppose the load in Fig. 256 were delta-connected instead of Y-connected. In such " a case the situation at the load-end of the line would be as shown in Fig. 257, where VAB , "BC , and VCA denote the three line voltages (as in Fig. 248). Also, let us denote the three V " " " line currents by IA , IB , and IC , as shown.

The String class is final its methods can t be overridden. When a String literal is encountered by the VM, it is added to the pool. Strings have a method named length(), arrays have an attribute named

StringBuffers are mutable they can change without creating a new object. StringBuffer methods act on the invoking object, but objects can change

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" " " " Let IAB , IBC , and ICA denote the three phase currents. Also let VAB be the reference vector, and let be the phase angle between the phase voltages and phase currents, as shown in Fig. 258.

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StringBuffer equals() is not overridden; it doesn t compare values. In all sections, remember that chained methods are evaluated from left to right. Using the java.lang.Math Class (Exam Objective 8.1) The abs() method is overloaded to take an int, a long, a float, or a double. The abs() method can return a negative if the argument is the minimum

The max() method is overloaded to take int, long, float, or double arguments. The min() method is overloaded to take int, long, float, or double arguments. The random() method returns a double greater than or equal to 0.0 and

Now, in regard to Fig. 257, the power PER PHASE is equal to Pp Vp Ip cos hence, TOTAL POWER PT 3Vp Ip cos 441

The random() does not take any arguments. The methods ceil(), floor(), and round() all return integer

R10 4.7

as in eq. (439), where Vp and Ip are the magnitudes of the phase voltages and phase " currents and cos is the power factor of each of the three equal impedances Z . Inspection of Fig. 257 shows, however, that the line voltage is EQUAL to the phase voltage in a -connected load. Thus eq. (441) can be written as PT 3VL Ip cos 442

equivalent floating-point numbers, ceil() and floor() return doubles, round() returns a float if it was passed an int, or it returns a double if it was passed a long.

The round() method is overloaded to take a float or a double. The methods sin(), cos(), and tan() take a double angle in radians. The method sqrt() can return NaN if the argument is NaN or less

where VL is the magnitude of line voltage. In the equation, however, we d like also to have the current expressed in terms of line current; this can be done as follows. Consider (for example) junction point A in Fig. 257; by Kirchho s current law, the current equation at A is equal to " " " IA ICA IAB 0 thus, " " " IA IAB ICA 443 " Now, for simplicity, let s consider IAB as the reference vector (this will have no e ect on " " the relative magnitudes of the phase and line currents). Then, since ICA lags IAB by 2408, and since the phase currents all have equal magnitudes, eq. (443) becomes (angles in degrees) " IA Ip =0 Ip = 240 Ip =0 Ip =120 cos 0 j sin 0 cos 120 j sin 120 Ip thus, " IA 1:5 j0:8660 Ip or since, from inspection of Fig. 257, jIA j jIL j

NaN is not equal to anything, not even itself. Using Wrappers (Exam Objective 8.3) The wrapper classes correlate to the primitive types. Wrappers have two main functions: To wrap primitives so that they can be handled like objects To provide utility methods for primitives (usually conversions) Other than Character and Integer, wrapper class names are the primitive s

Wrapper constructors can take a String or a primitive, except for Character,

444

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