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Division in the rectangular form can be accomplished by multiplying the numerator and denominator by the complex conjugate of the denominator Multiplying the denominator by its complex conjugate converts the denominator to a real number and simpli es division This is shown in Example A4 Powers and roots of a complex number in polar form follow the laws of exponents, as shown in equations A19 and A20 An = (Aej )n = An ej n = An n (A19)

1:N + ~ V2 _

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9 49 1

(735) 2 = N V1 2 = I1 V I N These expressions are very useful in determining the equivalent impedance seen by the source and by the load, on opposite sides of the transformer At the primary connection, the equivalent impedance seen by the source must equal the ratio of V1 to I1 : Z = V1 I1 (736)

Caution The listbox name starts with the letter l, not the number 1!

(737)

7

But the ratio V2 /I2 is by de nition the load impedance, ZL Thus, Z = 1 ZL N2 (738)

That is, the AC source sees the load impedance reduced by a factor of 1/N 2 The load impedance also sees an equivalent source The open-circuit voltage is given by the expression VOC = N V1 = N VS (739)

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3. Open the code window for the form. On the top of the code window, you will need to add the following statements (in their usual locations): VB .NET Imports System.Data.OleDb C# using System.Data.OleDb; 4. Now you will need to move the Microsoft Access database into the correct location. 8 s exercise folder contains a copy of the Northwind.mdb database. Locate this file, then copy and paste it into the bin directory of your project. You can accomplish this several ways, including just copying and pasting the file using Windows Explorer. However, the easiest way to accomplish this is to click Show All Files in the Solution Explorer window, then locate the bin folder and the Debug folder within it. Right-click the Debug folder and choose Add Existing Item. Navigate to the exercise folder for 8 and select the Northwind.mdb database. This will add the database to your project. (You will possibly have a Wizard dialog display. You can simply dismiss this dialog by clicking Cancel.) 5. Next, you will add ADO code to the Click event of the cmdADO button to open a connection to the Microsoft Access Northwind sample database. You will then add code to execute a SQL statement that will return the most recently ordered items from the Orders table into the Listbox control (see the SQL Statements for Testing section earlier in this chapter), as well as add code to report the number of records found into a message box. Type the code in Listing 8-5 into to the cmdADO_Click event. Listing 8-5. Code to Add to the cmdADO_Click Event VB .NET Dim cn As New OleDbConnection _ ("Provider=Microsoft.jet.oledb.4.0;Data Source=Northwind.mdb") Dim dr As OleDbDataReader Dim intCount As Int16 = 0 cn.Open() Dim cmd As New OleDbCommand

since there is no voltage drop across the source impedance in the circuit of Figure 740 The short-circuit current is given by the expression VS 1 ISC = ZS N and the load sees a Th venin impedance equal to e Z = VOC N VS = = N 2 ZS SC S 1 I V ZS N (741) (740)

Size in FiSMA Function Points 0 to 99 100 to 199 200 to 299 300 to 399 400 to 499 500 to 599 600 to 699 700 to 799 800 to 899 900 to 999 1000 to 1499 1500 or more Total

Thus the load sees the source impedance multiplied by a factor of N 2 Figure 741 illustrates this impedance re ection across a transformer It is very important to note that an ideal transformer changes the magnitude of the load impedance seen by the source by a factor of 1/N 2 This property naturally leads to the discussion of power transfer, which we consider next

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