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In an e ort to do this, let us rst write the imaginary component, inside the brackets, in the equivalent form !2 L2 !C !LC R2 !C !C L 2 2 2 2 j 2 2 !2 L2 R2 j C !2 C 2 ! C C ! C ! C Thus, 1=!2 C 2 now factors out of the entire quantity inside the brackets in eq (250); doing this, and remembering the algebraic fact that, A2 B2 AB 2 , you can verify that eq (250) becomes L 2 2 2 !C ! L R R C " j 251 Zp 2 2 2 2 2 2 2 2 2 R ! C ! LC 1 2 R ! C ! LC 1 To continue, let us now DEFINE that the resonant frequency, for the parallel case of " Fig.

The Download Manager uses a simple yet effective GUI interface built with Java s Swing libraries. The Download Manager window is shown in Figure 4-1. The use of Swing gives the interface a crisp, modern look and feel. The GUI maintains a list of downloads that are currently being managed. Each download in the list reports its URL, size of the file in bytes, progress as a percentage toward completion, and current status. The downloads can each be in one of the following different states: Downloading, Paused, Complete, Error, or Cancelled. The GUI also has controls for adding downloads to the list and for changing the state of each download in the list. When a download in the list is selected, depending on its current state, it can be paused, resumed, cancelled, or removed from the list altogether. The Download Manager is broken into a few classes for natural separation of functional components. These are the Download, DownloadsTableModel, ProgressRenderer, and DownloadManager classes, respectively. The DownloadManager class is responsible for the GUI interface and makes use of the DownloadsTableModel and ProgressRenderer classes for displaying the current list of downloads. The Download class represents a managed download and is responsible for performing the actual downloading of a file. In the following sections, we ll walk through each of these classes in detail, highlighting their inner workings and explaining how they relate to each other.

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167, is the frequency at which Zp becomes a PURE RESISTANCE Let us denote the resonant frequency by !0 ; then, by de nition, !0 is the frequency at which the imaginary or reactive component of eq (251) becomes equal to zero Note that this requirement will be satis ed if the numerator of the imaginary part of eq (251) is equal to zero; that is, if !C 0 or if L ! L R2 C.

0

Figure 4-1

The rst possibility, !0 C 0, is true only if ! 0 or if C 0, and hence is of no practical importance. However, setting ! !0 in the second possibility gives, as you can verify, the meaningful, correct answer s 1 R2 2 252 !0 LC L in which only the positive value of the square root is to be taken (because negative frequency does not exist in the real world). Now let ! 0 ( omega prime ) be the frequency at which the reactances of the coil and capacitor are equal; that is, let ! 0 be the frequency at which !L 1=!C. Thus, ! 0 L 1=! 0 C; hence ! 02 1=LC and, putting this value in place of 1=LC, eq. (252) becomes s R2 !0 ! 02 2 L

253

The Download class is the workhorse of the Download Manager. Its primary purpose is to download a file and save that file s contents to disk. Each time a new download is added to the Download Manager, a new Download object is instantiated to handle the download. The Download Manager has the ability to download multiple files at once. To achieve this, it s necessary for each of the simultaneous downloads to run independently. It s also necessary for each individual download to manage its own state so that it can be reflected in the GUI. This is accomplished with the Download class. The entire code for Download is shown here. Notice that it extends Observable and implements Runnable. Each part is examined in detail in the sections that follow.

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