Thevenin & Norton Help

Thevenin & Norton Help - 232 CHAPTER 6 8. Find the...

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Unformatted text preview: 232 CHAPTER 6 8. Find the Thévenin equivalent seen at A—B for the circuit of figure P6.8. Him: For this type of problem, the more natural solution technique is source transformations; why? V3 _ 7. 9. Find the Thevenin equivalent seen at AflB for the circuit of figure P69. Hint: Find Rth first; then identify the appropriate supernode and use nodal analysis to find V00. Figure P69 ANSWER: Rth : 8 k9, VOC = 4.5 V. 10.. Find the Thévenin equivalent of the circuit of figure P6.10 enclosed in the dashed box. Then compute IL and the power absorbed by the Z—k $2 resistor. Hint: There is some extraneous information. tfigure P610 ANSWERS: 52 V, 24 kg, 2 mA. ii. (a) Find the Thévenin equivalent circuit for the two— terminal non—series~parallel network of figure P6.11. Use MATLAB to solve the equations. (in) If a load resistance R L is connected to terminals A—B, use MATLAB to calculate and plot the power absorbed by the load for 10 5 RL 5 200 S2 in 5—9 steps. 100 (2 1009 Figure P611 ANSWERS: (a) 12°C 2 2VS/3, Rth : 100 S2. THEVENIN, NORTON, AND MAXIMUM POWER TRANSFER THEOREMS Thévenin and Norton Equivalents for Active Circuits 12. Find the Thévenin equivalent of the circuit of figure P6.12 as a function of Cl. Figure £36.12 2.5 ._+_OL 9 1.5 13. Find the value of gm so that the Thévenin equivalent resis- tance of the circuit of figure P613 is —40() k9. ANSWER: U00 2 O, Rth 2 Figure PGJE 3 ANSWER: gm 2 10 its. M. For the circuit of figure P6.14, find the Norton equivalent Circuit. 200 S2 300 S2 Figure R814 ANSWER: —600 32, [SC 2 0. 15. Use loop analysis to compute the Thévenin equivalent for the circuit of figure P6.15. What is the Norton equivalent? Figure mi 5 ANSWER: V0C = 0, Rm = 100 $2. Figure P6.’ :7. (3) Find the Norton and Thévenin equivalents of the circuit of figure P6.17. (b) If a load resistor R L is attached across the output termi— nals,plot the power absorbedby the load for 1 g R L 5 24 S2 using MATLAB or equivalent. For what value of R L does the load absorb maximum power? 41'] Figure 136.17 ‘_SWERS: v00 2 18 V, Rth = 12 52,1’SC = 1.5 A, 12 £2. . Find the Thévenin equivalent of the circuit in figure P6.18. I Figure P619 (‘1) 5/6 V, 95/6 9, 1/19 A; (b) —1/3, 20 52. 233 20. For the circuit of figure P620, find the Thévenin equivalent. 300 o 100 9 WV Figure P620 ANSWERS: Rth = 400 52, V00 2 0. (Note that the value of VS makes no difference to V09. Why?) 21.. (a) Find the Thévenin equivalent for the network of fig- ure P621. (1)) If the value of each independent source is cut in half, what is the new V06? 100 v [Figure 96.21 ANSWERS: (a) 1.6 k9, —260 V; (b) V00 2 —130 V. Find the Norton equivalent for the circuit of figure P622. Figure P622 ANSWERS: isc = 150 mA downward, —100 £2. In figure P623, replace the circuit to the left of nodes A and B with its Thévenin equivalent and find i and the power consumed by the 60-9 resistor. Figure P623 CHECK: voc = 18 V, Rth = 15 £2. < 3 24. Find the Thévenin and Norton equivalents of the circuit of figure P624 as follows: l r g 234 CHAPTER 6 THEVENIN, NORTON, AND MAXIMUM POWER TRANSFER THEOREMs l .. N... . .. v.2“ ..,.",..,.,.....d..._. ,,,.,..,.....,, .2. H. W... , A , l a (a) Redraw the circuit, add an external variable indepen— dent voltage source vs, and indicate the loop currents on the diagram. Label the two unknown loop currents as 11 and [2, with [1 associated with the external source vs. Note that us is not considered an unknown. (in) Add the voltage variable v to your circuit diagram across the appropriate (internal) source, according to the method of modified loop analysis. (c) Write three independent equations in the three un— knowns 11, [2, and 1). (ti) Write these equations in matrix form as follows: 11 . 12 = 7 03+ 1) ‘7 (e) Solve using MATLAB. In particular find 11 in terms of Us and a constant. (1") Find ISC and Rth. Hint: Review equation 6.11. (3) Find Voc- (b) Sketch the Thévenin and Norton equivalent circuits. 552 20 mA figure 96.24- ANSWERS: VOC = 12.5 V, Rm = 650 $2. ' Find the Thévenin equivalent seen at A—B for the circuit of figure P625 as follows: (a) Excite terminals A—B with an external independent current source is, following the development of equa- tion 6.10. (5)») Write nodal equations with unknowns VA, VC, VD, and VE. (c) Express the equations in matrix form as follows: ???‘7VA ? ? ???‘7VC_?+? ???9VD“?‘S? ‘2??va 7 ? (ti) Use MATLAB to solve the equations. In particular, ex- press VA in terms Of i s and a constant. Compare with equa— tion 6.10 tO determine Rth and voc. (e) If the l—mA source becomes an 8-mA source, find the new values of Rth and voc. A stz lmA Figure P625 ANSWERS: (d) Rth = 5.8182 ko, voc = 3.8182. Op Amp Circuits 26. Find the Thévenin equivalent seen at terminals A~B for the Op amp circuit of figure P626. Figure P626 ANSWERS: 1200 = 4VS, Rth = 20 S2. 27. (a) Find the Thevenin equivalent seen at terminals A—B for the op amp circuit of figure P627. (b) If a 162-9 load resistor is attached across terminals A—B, find the resulting voltage gain VA 3 / V5. 10052 + C W M 200 w» IZkSZ 1809; OB Figure E3627 ANSWERS: (a) voc = 3.6VS, Rth : 18 52; (b) 3.24. 28., (35) Find the Thévenin equivalent to the right Of terminals A~B for the (ideal) op amp circuit of figure P628. (b) If the practical source indicated in the figure is attached to A—B, find the current I s in terms of VS. 15m A W» ————— no + 10m ’ WV 4m; 12k§2 ..... __o__. B ___ Figure P628 ANSWERS: (a) VCC = 0, Rth = —5 k9; (b) 0.2 x 10—3Vs- 6—9 CEflmfi“ (Qu'la Ulcj=0 é—F—n—F b/L: Fecha Asunto: — p r s -.-| Hoja de Hoja d? Hoja de Fecha Hoja de #—> . Asunto: Fecha . _ . Hoja de ——-—> _ Asunto: .. . _ Hoja de Fecha Hoja de p—II'.> . Asunto: . .. 7 7 <S+l§fiz)\/x= gVoC, L§+L§Q~ L§+stVocj 3Voc, §+trflz=qm+83 Vac, \ = - -11. Vac, 0 ME §+ I: o 3 IJfW/l/l/I’ [Ag-UK & 4- V’E. :- Jr '5 3 3' alrm‘i/ll 3‘ Hoja de JADE-m,“ ‘ l 70””; w 41m..- BomA= Vtflrw Vflm =55“ V1= 36w.4-6'b/I' = v [CC/L W1”): <5"%ro = 0.03 + o.o(o[c1.4)+ ISL - Igc= 0.044—033— 0.14.4. o. 2.. 3+30W filSV wv/wsa ...
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Thevenin &amp;amp; Norton Help - 232 CHAPTER 6 8. Find the...

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