450
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)