1 An ideal basic circuit element. Figure 1.5 A c) Calculate the average value of p in the interval 0

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I am having problems with solving the integral for parts C and D if you could help. See copy pasted full question 1.25. The book information is also below. Also see attached figure. The chegg solution doesnt explain good enough. I attached the chegg soluiton with with the part I dont understand circled in red.

Book: Electric Circuits 10th Edition by James W. Nilsson Susan Riedel

1.25 The voltage and current at the terminals of the element in Fig. 1.5 are

v = 250 cos 800pt V, i = 8 sin 800pt A.

a) Find the maximum value of the power being delivered to the element.

b) Find the maximum value of the power being extracted from the element.

c) Find the average value of p in the interval

d) Find the average value of p in the interval

See attached for Fig. 1.5

1
An ideal basic circuit element.
Figure 1.5 A
Transcribed Image Text:1 An ideal basic circuit element. Figure 1.5 A
c)
Calculate the average value of p in the interval 0<ts 2.5 ms -
2.5(10)
1000 sin (1600zt) dt
,
Pang
2.5(10)
cos 16007t)2(10)
= 4(10')
1600zt
250
(1-cos 47t)
Therefore, the average value of p in the interval 0<t<2.5 ms is 0.
Transcribed Image Text:c) Calculate the average value of p in the interval 0<ts 2.5 ms - 2.5(10) 1000 sin (1600zt) dt , Pang 2.5(10) cos 16007t)2(10) = 4(10') 1600zt 250 (1-cos 47t) Therefore, the average value of p in the interval 0<t<2.5 ms is 0.
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