User manual TEXAS INSTRUMENTS EE PRO

[. . . ] PocketProfessionalTM Series EEPro #UQHVYCTG#RRNKECVKQP 1P6+CPF6+2NWU User's Guide June 1999 da Vinci Technologies Group, Inc. 1. 0 da Vinci Technologies Group, Inc. Western Blvd Suite 250 Corvallis, OR 97333 www. dvtg. com Notice This manual and the examples contained herein are provided "as is" as a supplement to EEPro application software available from Texas Instruments for TI-89, and 92 Plus platforms. ("da Vinci") makes no warranty of any kind with regard to this manual or the accompanying software, including, but not limited to, the implied warranties of merchantability and fitness for a particular purpose. [. . . ] The fifth equation computes Qp in terms of Rp, Lp and . The sixth and seventh equations calculate Rs and Ls in terms of Rp, Lp and . The eighth and ninth equations compute Rp and Lp in terms of Rs, Ls and Qs. The last two of equations calculate Rs and Ls in terms of Rp, Lp and Qp. = 2 f Ls Rs Rs 2 + 2 Ls 2 Rp = Rs 2 Rs + 2 Ls 2 Lp = 2 Ls Rp Qp = Lp 2 Lp 2 Rp Rs = Rp 2 + 2 Lp 2 Qs = Rp 2 Lp Ls = Rp 2 + 2 Lp 2 Rp = Rs 1 + Qs 2 Eq. 21. 5. 7 ch F 1 IJ Lp = Ls G 1 + H Qs K 2 Eq. 21. 5. 9 Rs = Rp 1 + Qp 2 Qp 2 Lp Ls = 1 + Qp 2 Eq. 21. 5. 11 Example 21. 5 - A 24_mH inductor has a quality factor of 5 at 10000_Hz. Find its series resistance and the parallel equivalent circuit parameters. EE PRO for TI -89, 92 Plus Equations - RL and RC Circuits 43 Entered Values Calculated Results Solution - Upon examining the problem, the first six equations need to be solved as a set. Select these equations, and press , , to display the input screen enter all the known variables and press , , to solve. The computed results are shown in the screen display shown here. -PQYP8CTKCDNGU. UAO*3UHA*\ %QORWVGF4GUWNVU. RA*4UA4RATU 21. 6 RC Series to Parallel The equations in this topic show the equivalence between a series RC circuit (Rs and Cs) and its parallel equivalent circuit with values Rp, and Cp. The first equation converts frequency, f, to its radian equivalent radian frequency, . The second equation computes the quality factor Qs in terms of , Rs and Cs. The next two equations compute the parallel equivalent values as a function of Rs, Cs and . The fifth equation defines Qp in terms of Rp, Cp and . The sixth and seventh equations compute Rs and Cs in terms of Rp, Cp and . The last four equations describe the relationships between Rs, Cs, Rp, Cp, Qs and Qp in a symmetrical and complementary form. = 2 f 1 Qs = Rs Cs 1 Rs2 Cs2 Cs Cp = 2 1 + Cs2 Rs2 Rp = Rs 1 + 2 Eq. 21. 6. 5 Qp = Rp Cp Rs = Rp 1 + Rp 2 Cp 2 2 Eq. 21. 6. 6 Cs = 1 + 2 Rp 2 Cp 2 2 Rp 2 Cp Eq. 21. 6. 7 Rp = Rs 1 + Qs 2 c h 44 Eq. 21. 6. 8 EE PRO for TI -89, 92 Plus Equations - RL and RC Circuits Cp = Cs 1 1+ 2 Qs Rp Rs = 1 + Qp 2 Cp 1 + Qp 2 Qp 2 Eq. 21. 6. 11 Example 21. 6 - A parallel RC Circuit consists of a 47_farad and 150000_ at 120000_Hz. [. . . ] This can be remedied by pressing N, deselecting the equation(s) where all of the variables are defined and resolving the solution set by pressing , , twice. To determine which equation has all of its variables defined, press N to view the equations, select an equation in question by highlighting the equation and pressing , and pressing , , to view the list of variables. A `` next to a variable indicates a value has been specified for that variable by the user. If all of the variables in an equation are marked with a ``, no unknown variables exist for that equation. [. . . ]