Question: The circuit shown below illustrates some important aspects of the connection between a power company and one of its customers. The customer is represented by

The circuit shown below illustrates some important aspects of the connection between a power company and one of its customers. The customer is represented by three parameters, V_t, P, and pf. V_t is the voltage accessed by plugging into a wall outlet. Customers depend on having a dependable value of V_t in order for their appliances to work properly. Accordingly, the power company regulates the value of V_t carefully. P describes the amount of power used by the customer and is the primary factor in determining the customer’s electric bill. The power factor, pf, is less familiar. (The power factor is calculated as the cosine of an angle so that its value will always be between zero and one.) In this problem you will be asked to write a Java program to investigate the significance of the power factor.

-w- R= 10 2 P= 260 W V= 120 Vrms pf =

In the figure, the power lines are represented, somewhat simplistically, as resistances in Ohms. The power company is represented as an AC voltage source. The source voltage, V_s, required to provide the customer with power P at voltage V_t can be determined using the formula

0.6 R= 10 2 Power Company Power Customer Lines

(V_s has units of V_rms.) This formula indicates that the value of V_s depends on the value of pf. Write a Java program that prompts the user for a power factor value and then prints a message giving the corresponding value of V_s, using the values for P, R, and V_t shown in the figure above.

-w- R= 10 2 P= 260 W V= 120 Vrms pf = 0.6 R= 10 2 Power Company Power Customer Lines

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