sheet-6 (1)
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Suez Canal University Electric circuits 1 Faculty of Engineering 2nd Level Electrical Engineering Department 1st Semester (2015-2016)
Sheet (6)
Sinusoids and Phasors ================================================================================== (1) A current source in a linear circuit has ๐๐ = 15 ๐๐๐ (25๐๐ก โ 25ยฐ) A
(a) What is the amplitude of the current?
(b) What is the angular frequency?
(c) Find the frequency of the current.
(d) Calculate ๐๐ at t = 2 ms.
(2) Express the following functions in cosine form: (a) 10 ๐ ๐๐(๐ค๐ก โ 30ยฐ). (b) โ9 ๐ ๐๐ (8๐ก). (c) โ20 ๐ ๐๐(๐ค๐ก โ 45ยฐ).
(3) Find the phasors corresponding to the following signals:
(a) ๐ฃ(๐ก) = 21 ๐๐๐ (4๐ก โ 15ยฐ) ๐.
(b) ๐(๐ก) = โ8 ๐ ๐๐(10๐ก โ 70ยฐ) ๐๐ด.
(c) ๐ฃ(๐ก) = 120 ๐ ๐๐(10๐ก โ 50ยฐ) ๐. (d) ๐(๐ก) = โ60 ๐๐๐ (30๐ก โ 10ยฐ) ๐๐ด.
(4) Obtain the sinusoids corresponding to each of the following phasors:
(5) Simplify the following:
(6) For the circuit shown in Fig. 1, find ๐๐๐ and use that to find current I. Let ๐ค = 10 ๐๐๐/๐ .
(7) Calculate ๐ฃ๐ (๐ก) in the circuit of Fig. 2.
Figure 1 Figure 2
(8) If the voltage ๐ฃ๐ across the resistor in the circuit of Fig. 3 is 10 cos (2t) V, obtain ๐๐ .
Figure 3
(9) If ๐๐ = 5 cos(10t - 40ยฐ) A in the circuit of Fig. 4, find ๐๐. (10) Given that ๐ฃ๐ (t) = 20 sin(100t - 40ยฐ) in Fig. 5, determine ๐๐ฅ (t).
(11) Determine ๐ฃ๐ฅ in the circuit of Fig. 6. Let ๐๐ (t) = 5 cos(100t - 40ยฐ) A.
Figure 4 Figure 5
Figure 6
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