Select the Fourier series for the periodic voltage shown in (Figure 1), given that 27 v(t) = 120 sin t V, 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Fourier series of waveform shown in figure..

v(1) V
V1
V2
T/4
T/2
37/4
T.
Transcribed Image Text:v(1) V V1 V2 T/4 T/2 37/4 T.
Select the Fourier series for the periodic voltage shown in (Figure 1), given that
T.
0<t<
2
27
v(t) = 120 sin
t V,
T
v(t) = 60 sin
(t – T/2) V,
T
St<T.
2
cos(nwot)
V
30 sin(wot)- 2m -2,4,6. (1–n²)
%3D
O v(t)
180
+ 30 sin(wot)
– 360 0
cos(nwot)
V
2,4,6...
(1-п)
cos(nwot)
V
180 90 sin(wot) + m-2,4,6... (1-n2)
360
O v(t)
none of the above
Transcribed Image Text:Select the Fourier series for the periodic voltage shown in (Figure 1), given that T. 0<t< 2 27 v(t) = 120 sin t V, T v(t) = 60 sin (t – T/2) V, T St<T. 2 cos(nwot) V 30 sin(wot)- 2m -2,4,6. (1–n²) %3D O v(t) 180 + 30 sin(wot) – 360 0 cos(nwot) V 2,4,6... (1-п) cos(nwot) V 180 90 sin(wot) + m-2,4,6... (1-n2) 360 O v(t) none of the above
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