Problem 15-1    Source:    Problem elaborated by the author of the site.

In the circuit shown in Figure 15-01.1, calculate:

a) The currents i₁ , i₂ and i₃.

b) The voltage of the node e₁.

Problem solving:   click here!

Problem 15-2    Source:    Problem 4.12 - page 96 -    NILSSON & RIEDEL -    Book: Circuitos Elétricos - 8ª edição - Ed. Pearson Education do Brasil - 2010.

In the circuit shown in Figure 15-02.1, calculate:

The voltages in the nodes and the currents i₁ , i₂ , i₃ and i₄.

Problem solving:   click here!

Problem 15-3    Source:   Question 2 - Test P.1 - 2012 - UFRGS.

In the circuit shown in Figure 15-03.1:

a) Obtain the Thévenin equivalent with respect to the terminals a-b of the circuit, determining the open circuit voltage and the short-circuit current.

b) Calculate the resistance of Thévenin by eliminating independent sources. Compare your result with Thévenin's resistance found in the previous item.

Problem solving:   click here!

Problem 15-4    Source:    Problem 3.58 - page 140 -    IRWIN, J. David -    Book: Análise de Circuitos em Engenharia - 4ª edição - Ed. Pearson - 2013.

In the circuit shown in Figure 15-04.1, calculate:

The voltages of the essencial nodes, i₁ , i₂ and the voltage V_o.

Problem solving:   click here!

Problem 15-5    Source:    Problem 5.18 - page 115 -    JOHNSON, David E. , HILBURN, John L. , JOHNSON, Johnny R. -    Book: Fundamentos de Análise de Circuitos Elétricos - 4ª edição - Ed. Prentice Hall do Brasil - 1994.

Calculate v by replacing everything except the 4 ohms resistor, by its equivalent of Thévenin in the circuit shown in Figure 15-05.1

Problem solving:   click here!

Problem 15-6    Source:   Test 1 - Problem 3 - Electrical Circuits I - UFRGS - 1975.

In the circuit shown in Figure 15-06.1, calculate current I_B when the S key is closed, knowing that circuit B is represented by the graph of the Figure 15-06.2

Problem solving:   click here!

Problem 15-7    Source:   Problem elaborated by the author of the site.

In the circuit shown in Figure 15-07.1, determine the currents i and I.

Problem solving:   click here!

Problem 15-8   Source:    Adapted from problem 70 of the circuit list Electrical Circuits I, School of Engineering, UFRGS, Prof. Dr. Valner Brusamarello.

Determine the Thévenin equivalent for the circuit containing only dependent sources in the circuit shown in Figure 15-08.1.

Problem solving:   click here!

Problem 15-9    Source:    Problem elaborated by the author of the site.

Determine the value of I that circulates between the points a and b in the circuit shown in Figure 15-09.1, when between these points are inserted resistors of values equal to 4, 10 and 25 ohms. In addition, calculate the power dissipated in each resistor.

Problem 15-10    Source:    Problem elaborated by the author of the site.

Determine the Thévenin equivalent for the terminals a - b of the circuit shown in Figure 15-10.1. Subsequently, find the value of R for maximum power transfer and calculate this power.

Problem solving:   click here!

Problem 15-11    Source:    Problem 68 of the circuit list Electrical Circuits I, School of Engineering, UFRGS, Prof. Dr. Valner Brusamarello.

In the circuit shown in Figure 15-11.1, determine the value read by the ammeter A when the S key is in position 2, knowing that when the S key is in position 1 the circuit contained and highlighted by the orange rectangle in the figure, transfers the maximum possible power.

Problem solving:   click here!

Attention -    There is a typing error in the list response. The correct value of the ammeter reading is 3 A and not 9 A as listed.

Problem solving using Transf. of Sources Method   click here!

Problem 15-12    Source:    Problem elaborated by the author of the site.

Determine the value of R, in the circuit shown in Figure 15-12.1, knowing that the voltage source of 100 volts provides the circuit with a power of 500 watts.

Problem solving:   click here!

Problem 15-13    Source:    Problem elaborated by the author of the site.

Based on the previous problem, considering the circuit shown in Figure 15-13.1, determine to which value of R the maximum power dissipation occurs in it.

Problem solving:   click here!

Problem 15-14    Source:    Problem elaborated by the author of the site.

Based on the previous problem, considering the circuit shown in Figure 15-14.1, determine the Thévenin equivalent of the circuit when analyzed from the point of view of R.

Problem solving:   click here!

Problem 15-15    Source:    Problem 7 - página 23 - PERIS, César F. & RIPOLL, M. A. Vicente    Book: 150 Problemas de Teoria de Circuitos - 2004.

Determine the equivalent Thévenin and Norton at terminals a-b of the circuit shown in Figure 15-15.1.

Problem solving:   click here!

Problema 15-16    Source:    Problem 13 - page 38 - PERIS, César F. & RIPOLL, M. A. Vicente    Book: 150 Problemas de Teoria de Circuitos - 2004.

Determine the value of V_o in the circuit shown in Figure 15-16.1.

Problem solving:   click here!

Problem 15-17    Source:    Problem developed by the site author.

In the circuit shown in Figure 15-17.1, using the theorem of Thévenin , determine the value R so that it dissipates the maximum power.

Problem solving:   click here!

Problem 15-18    Source:    Adapted from Problem 4.87 - page 153 -    NILSSON - RIEDEL -    Book: Electric Circuits - 10th edition - Ed. Pearson Education of Brasil - 2016.

In the circuit shown in Figure 15-18.1, the resistor R_L is adjusted until it absorbs the maximum power of the circuit. Determine:

a ) The value of R_L:

b ) The maximum power dissipated by R_L:

c ) Make a power balance on the circuit.

Problem solving:   click here!