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FOURIER METHOD OF WAVEFORM ANALYSIS 2 Ans:

vL ¼

vC ¼

3

7 4Vm 6 4!L 6  2!L  cos 2!t    cos 4!t þ   7 5 1 1  4 3 2!L  15 4!L  2!C 4!C 2 4Vm 6 61   42

[CHAP. 17

3

7 1 1   cos 2!t þ   cos 4!t    7 5 1 1 3ð2!CÞ 2!L  15ð4!CÞ 4!L  2!C 4!C

Fig. 17-61

17.46

A three-element circuit consists of R ¼ 5  in series with a parallel combination of L and C. At Find the total current if the applied voltage is given by ! ¼ 500 rad/s, XL ¼ 2 , XC ¼ 8 . v ¼ 50 þ 20 sin 500t þ 10 sin 1000t (V). Ans: i ¼ 10 þ 3:53 sin ð500t  28:18Þ (A)

Mahmood_Nahvi_eBook_Schaum_s_Outlines_Theory_An  
Mahmood_Nahvi_eBook_Schaum_s_Outlines_Theory_An  
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