Problem 51-1    Source:  Problem 29 - page 402 -   BOYLESTAD, Robert - Book: Introdução à Análise de Circuitos - 10ª edição - Ed. Pearson Education do Brasil - 2004.

Calculate the phase difference between the waveforms of each pair below:

a)  v = 4 sin (ωt + 50°)   and   i = 6 sin (ωt + 40°)

b)  v = 25 sin (ωt - 80°)   and   i = 5 x 10^-3 sin (ωt - 10°)

c)  v = 0.2 sin (ωt - 60°)   and   i = 0.1 sin (ωt + 20°)

d)  v = 200 sin (ωt - 210°)   and   i = 25 sin (ωt - 60°)

Problem 51-2    Source:  Problem 30 - page 403 -   BOYLESTAD, Robert - Book: Introdução à Análise de Circuitos - 10ª edição - Ed. Pearson Education do Brasil - 2004.

Calculate the phase difference between the waveforms of each pair below:

a)  v = 2 cos (ωt - 30°)   and   i = 5 sin (ωt + 60°)

b)  v = - sin (ωt + 20°)   and   i = 10 sin (ωt - 70°)

c)  v = -4 cos (ωt + 90°)   and   i = -2 sin (ωt + 10°)

Problem 51-3    Source:  Problem 6.29 - page 102 -   EDMINISTER, Joseph A. - Book: Circuitos Elétricos - Ed. McGraw Hill - 1971.

Find Z and Y corresponding to the phasor diagram as shown in the Figure 51-03.1.

Problem 51-4    Fonte:  Problem elaborated by the author of the site.

Be the phasors A = 40∠45° and B = 30∠160°. Find V_soma = A + B.

Problema 51-5    Source:  Example 13.3 - page 282 - HUGHES, Austin -    Book: Electrical and Electronic Technology - 10ª Edição - Ed. Pearson - 2008.

Express in rectangular notation the admittance of circuits having the following impedances:

a) (4 + j 6)   Ω

b) 20 ∠ -30°   Ω

Problema 51-6    Source:  Example 14.31 - page 432 -   BOYLESTAD, Robert - Book: Introduction to Circuit Analysis - 10th edition - Ed. Pearson Education do Brasil - 2004.

Calculate the input voltage, V_i, in the circuit shown in Figure 51-06.1, where:

V₁ = 50 sen (377 t + 30°)

V₂ = 30 sen (377 t + 60°)