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:
Solution of the Problem 51-1
Item a
Note that both
Then:
Therefore, we conclude that the
Observation - This conclusion is due to the definition adopted for the angle
Item b
In the same way as in the previous item we have:
Therefore, it is concluded that the voltage is delayed (due to the negative signal) of
Item c
From the definition:
Thus, it is concluded that the voltage is delayed (due to the negative signal) of
Item d
In the same way as in the previous item we have:
Therefore, it is concluded that the voltage is delayed (due to the negative signal) of
Notice that in this exercise there was no concern with the range of functions, since they are completely independent variables.
You can see the results graphically (not in scale) in the four figures below.
Phasors Graphics