Problem 3.1    Source:   Problem elaborated by the author of the site.

Knowing that C₁ = 12 µ F,   C₂ = 2 µ F and C₃ = 4 µ F, compute:

a) the total capacitance of the circuit shown in Figure 03-01.1 between the points a and b.

b) if we connect a 10 volts battery between points a and b calculate the accumulated load on each capacitor.

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Problem 3.2    Source: Problem 25.23 - page 134 -    HALLIDAY, RESNICK, WALKER, Jearl - Book: Fundamentos de Física - Vol 3 - Ed. LTC - 8ª edição - 2009.

In the circuit shown in Figure 03-02.1, V = 9.0 volts, C₂ = 3 µF, C₄ = 4 µF and all capacitors are initially discharged. When the S key is closed a total charge of 12 µC passes through the point a and a total charge of 8 µC passes through the b point.

a)what is the value of C₃ ?

b)what is the value of C₁ ?

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Problem 3.3    Source:    Problem 6.22 - page 216 -    SADIKU, Matthew N. O. , ALEXANDER, Charles K. -    Book: Fundamentos de Circuitos Elétricos - McGraw Hill - 5ª edição - 2013.

In the circuits shown in Figure 03-03.1, the cpacitances are given in µF. Calculate the equivalent capacitance between points a and b.

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Problem 3.4    Source:   Problem 6.25 - page 243 -    IRWIN, J. David -    Book: Análise de Circuitos em Engenharia - 4ª edição - Ed. Pearson - 2013.

Determine the value of C to produce the desired total capacitance of C_total = 2 µF in the circuit shown in Figure 03-04.1.

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Problem 3.5   Source:   Adapted of Problem 6.24 - page 216 -    SADIKU, Matthew N. O. , ALEXANDER, Charles K. - Book: Fundamentos de Circuitos Elétricos - McGraw Hill - 5ª edição - 2013.

Knowing thatC₁ = 30 µF,  C₂ = 60 µF,  C₃ = 14 µF,  C₄ = 20 µF , C₅ = 80 µF and V = 90 volts:

a) calculate the total capacitance of the circuit shown in Figure 03-05.1 between the points a and b.

b) Calculate the voltage in each capacitor.

c) Calculate the acumulated energy in each capacitor.

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Problem 3.6   Source:   Problem 6.28 - page 216 -    SADIKU, Matthew N. O. , ALEXANDER, Charles K. - Book: Fundamentos de Circuitos Elétricos - McGraw Hill - 5ª edição - 2013.

Given the values ​​of the capacitors in the circuit shown in Figure 03-06.1 calculate the total capacitance of the circuit between points a and b.

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Problem 3.7    Source:   Adapted of Problem 6.26 - page 244 -    IRWIN, J. David -    Book: Análise de Circuitos em Engenharia - 4ª edição - Ed. Pearson - 2013.

Determine the value of C to produce the desired total capacitance of C_total = 4.5 µF in the circuit shown in Figure 03-07.1. All values ​​are in µF.

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Problem 3.8    Source:   Problem 6.29 - page 244 -    IRWIN, J. David - Book: Análise de Circuitos em Engenharia - 4ª edição - Ed. Pearson - 2013.

Determine the value of the total capacitance that the circuit shown in Figure 03-08.1 presents between the terminals a-b knowing that: C₁ = 4.0 µF, C₂ = 6.0 µF, C₃ = 1.0 µF, C₄ = 8.0 µF and C₅ = 3.0 µF.

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Problem 3.9    Source:   Problem 6.24 - page 242 -    IRWIN, J. David - Book: Análise de Circuitos em Engenharia - 4ª edição - Ed. Pearson - 2013.

Given four capacitors of 2 µF, determine the maximum and minimum values which can be obtained by connecting the capacitors in series and / or parallel combinations.

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Problem 3.10    Fonte:   Problem elaborated by the author of the site.

Suppose we have a capacitor, called C₁, with a capacity of 1 F. And a voltage between its terminals of V₁ = 10 volts. Imagine another capacitor, called C₂, also with a capacity of 1 F, but completely discharged. Now we connect the two capacitors in parallel. Determine the voltage that arises between the terminals of the capacitors. Calculate the initial energy of the system and the final energy. Explain the discrepancy in energy values.

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