Problem 55-1     Source:   Problem 9.27 - page 263 -    NILSSON & RIEDEL - Book: Circuitos Elétricos - 8ª edição - Ed. Pearson - 2010.

In the Figure 55-1.1, it is known that, R₁ = 240 ohms , R₂ = 80 ohms , C = 2.5 uF , L = 48 mH. The value of the source is I_N = 200 cos (5000t) mA.

a) Determine the total impedance of the circuit and V_N.

b) Determine i_C , i_L and V_C

c) Make a phasor diagram of the circuit.

Problem 55-2    Source:  Problem 5 - page 510 -    BOYLESTAD, Robert - Book: Introdução à Análise de Circuitos - Ed. Pearson Education do Brasil - 10ª edição - 2004.

For the circuit shown in the Figure 55-2.1, calculate:

a) the current I.

b) the voltage V_C.

c) the average power supplied to the circuit.

Problem 55-3    Source:   Problem elaborated by the author of the site.

Calculate the current I and the average power dissipated by the circuit show in the Figure 55-3.1.

Problem 55-4    Source:   Problem 7 - page 511 -    BOYLESTAD, Robert - Book: Introdução à Análise de Circuitos - Ed. Pearson Education do Brasil - 10ª edição - 2004.

For the circuit shown in the Figure 55-4.1, calculate:

a) the current I.

b) the voltage V_L.

c) the average power supplied to the circuit.

Problem 55-5    Source:  Problem created by the author of the site.

For the circuit shown in the Figure 55-5.1, calculate:

a) the current I.

b) the voltage V_a.

c) the average power supplied to the circuit.

Problem 55-6    Source:   Problem 9 - List of RLC Problems - Discipline Electrical Circuits of the School of Engineering - UFRGS - 2011 - Prof. Dr. Valner Brusamarello.

In the circuit of the Figure 55-6.1 find the nature and values of X that make null the phase angle of current I₁.

Problem 55-7    Source:   Problem 9 - List of RLC Problems - Discipline Electrical Circuits of the School of Engineering - UFRGS - 2011 - Prof. Dr. Valner Brusamarello.

In the circuit shown in the Figure 55-7.1, we have   I = 20∠0° mA,    R₁ = 1,2 kΩ,    - jX_C1 = - j1,8 kΩ,   jX_L1 = j1,2kΩ   and   jX_L2 = jX_L3 = j2,4 kΩ. Determine:

a) the values of   I₁  and   I₂:

b) the values of   V_aT  and   V_dT.

Problem 55-8   Source:   Problem 9.29 - page 263 -    NILSSON & RIEDEL -    Book: Circuitos Elétricos - 8ª edição - Ed. Pearson - 2010.

In the Figure 55-8.1, we know that    R = 25 Ω ,   R₁ = 160 Ω ,   R₂ = 120 Ω ,   jX_L = j40 Ω    and    -jX_C = -j80 Ω. The value of the source is   I_N = 40 + j80 mA.  On the other hand, we know that   i_L= 40∠0° mA.

a) Determine i_C , i and V.

b) Make a phasor diagram of the currents and voltages of the circuit.

Problem 55-9    Source:   Problem 2 - List of RLC Problems - Discipline Electrical Circuits of the School of Engineering - UFRGS - 2017 - Prof. Dr. Valner Brusamarello.

In the circuit shown in the Figure 55-9.1, determine V_ab.

Problem 55-10    Source:   Problem 13 - List of RLC Problems - Discipline Electrical Circuits of the School of Engineering - UFRGS - 2017 - Prof. Dr. Valner Brusamarello.

Determine V_ab in module and phase according to the circuit shown in the Figure 55-10.1.

Problem 55-11    Source:   Problem 16 - List of RLC Problems - Discipline Electrical Circuits of the School of Engineering - UFRGS - 2017 - Prof. Dr. Valner Brusamarello.

In the circuit shown in the Figure 55-11.1 |I₁| = |I₂|. Knowing that I₁ is advanced 90° in relation to I₂, determine the value of Z.

Attention: In the UFRGS list there is a mistake typo in the result in the value of X_L. The correct value is X_L = +j1.93 and not   5√2 - 1.

Problem 55-12    Source:   Problem elaborated by the author of the site.

In the circuit shown in the Figure 55-12.1, calculate the value of Z  to meet the conditions imposed by the problem data.

Data:   V = 10 cos (100t + 15°)    and    i = 0.1 sen (100t + 47.6°).

Problem 55-13    Source:   Problem 1 - List of RLC Problems - Discipline Electrical Circuits of the School of Engineering - UFRGS - 2011 - Prof. Dr. Valner Brusamarello.

Determine the impedance Z, in the circuit show in the Figure 55-13.1, so that we have I₂ = 10 ∠0°.

Problem 55-14    Source:   Problem elaborated by the author of the site.

From the phasor diagram shown in the Figure 55-14.1 determine the equivalent circuit and the angle θ, knowing that |V| = 200 V, |I₁| = 10 A e |I₂| = 8 A.

Problem 55-15    Source:   Problem 26 - List of RLC Problems - Discipline Electrical Circuits of the School of Engineering - UFRGS - 2011 - Prof. Dr. Valner Brusamarello.

In the circuit shown in the Figure 55-15.1, it is known that V₁ = 60 V. Determine the reading of the voltmeter V₂, as well as the value of V_ab.

Problem 55-16    Source:   Problem 21 - List of RLC Problems - Discipline Electrical Circuits of the School of Engineering - UFRGS - 2011 - Prof. Dr. Valner Brusamarello.

In the circuit shown in the Figure 55-16.1, it is known that |I₁| = |I₂|. Besides that, V_ac is delayed of 45° in relation to the current source I.  Determine the values of R and X.

Problem 55-17    Source:   Problem 10.50 - page 288 -    EDMINISTER, Joseph A. -    Book: Circuitos Elétricos (Coleção Schaum) - 2ª edição - McGraw-Hill - 1991.

In the circuit shown in Figure 55-17.1, determine the current I, so that the voltage between points a-b is V_ab = 5 ∠ 30°.

Problem 55-18    Source:   Example 10.9 - page 396 -    IRWIN, J. David - Book: Circuit Analysis in Engineering - Ed. Pearson Education do Brasil - 4th edition - 2013.

Determine the voltage V_o in the circuit shown in Figure 55-18.1, using the Kirchhoff method.

Solution of the problem by Method Thévenin   click here!

Problem 55-19    Source:   Example 10.9 - page 396 -    IRWIN, J. David - Book: Circuit Analysis in Engineering - Ed. Pearson Education do Brasil - 4th edition - 2013.

Determine the voltage V_o in the circuit shown in Figure 55-19.1, using the Thévenin method.

Solution of the problem by Method Kirchhoff   click here!

Problema 55-20    Source:   Question 2 of the 2nd Circuit Analysis II exam - PUC - 2014

Determine the voltage V_m in the circuit shown in Figure 55-20.1, knowing that V = 40 ∠30° and I = 5 ∠0°.

Problem 55-21    Source:   Adapted from Problem 8.63 - page 497 - Ulaby, Maharbiz & Furse - Book: Circuit Analysis and Design - 2018.

Determine the equivalent impedance between points a - b in the circuit shown in Figure 55-21.1.

Problem 55-22    Source:   Problem elaborated by the site's authors.

Determine the impedance Z (consider it as load) in the circuit shown in Figure 55-22.1 so that there is maximum power transfer to the load. Find the value of current I.