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Fourier Series and Circuit Analysis
ECE 202 Page 1 of 19 Copyright © by Hayder Radha
ECE 202 Page 2 of 19 Copyright © by Hayder Radha
ECE 202 Page 3 of 19 Copyright © by Hayder Radha
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ECE 202 Page 11 of 19 Copyright © by Hayder Radha
PSpice Example
R = 50 R = 500 R = 10L = 40 uHTo = 5 us −> fo = 1/5 us = 0.2 MHzVA = 10 V
Example Fourier Series RL CircuitVIN 1 0 PULSE (0 10 0 4.999U 0.5N 0.5N 5U)L 1 2 40UR 2 0 50.PROBE.TRAN 0.05N 50U0 0.5U.END
ECE 202 Page 12 of 19 Copyright © by Hayder Radha
Date/Time run: 11/17/04
Example Fourier Series RL Circuit
Temperature: 27.0
Date: November 17, 2004
Page 1
Time: 00:21:22
(A) FourierSeries (active)
Time
0s
5us
10us
15us
20us
25us
V(1)
V(2)
0V
5V
10V
R=50
x(t) = vin (t)
y(t)
ECE 202 Page 13 of 19 Copyright © by Hayder Radha
Date/Time run: 11/17/04
Example Fourier Series RL Circuit
Temperature: 27.0
Date: November 17, 2004
Page 1
Time: 00:34:15
(A) FourierSeries (active)
Frequency
0Hz
0.5MHz
1.0MHz
1.5MHz
2.0MHz
2.5MHz
3.0MHz
3.5MHz
4.0MHz
4.5MHz
5.0MHz5.5MHz
V(1)
V(2)
0V
2.0V
4.0V
6.0V
R=50
ECE 202 Page 14 of 19 Copyright © by Hayder Radha
Date/Time run: 11/17/04
Example Fourier Series RL Circuit
Temperature: 27.0
Date: November 17, 2004
Page 1
Time: 00:25:13
(A) FourierSeries (active)
Time
0s
5us
10us
15us
20us
25us
V(1)
V(2)
0V
5V
10V
R=500
ECE 202 Page 15 of 19 Copyright © by Hayder Radha
Date/Time run: 11/17/04
Example Fourier Series RL Circuit
Temperature: 27.0
Date: November 17, 2004
Page 1
Time: 00:37:08
(A) FourierSeries (active)
Frequency
0Hz
0.5MHz
1.0MHz
1.5MHz
2.0MHz
2.5MHz
3.0MHz
3.5MHz
4.0MHz
4.5MHz
5.0MHz5.5MHz
V(1)
V(2)
0V
2.0V
4.0V
6.0V
R=500
ECE 202 Page 16 of 19 Copyright © by Hayder Radha
Date/Time run: 11/17/04
Example Fourier Series RL Circuit
Temperature: 27.0
Date: November 17, 2004
Page 1
Time: 00:28:02
(A) FourierSeries (active)
Time
0s
5us
10us
15us
20us
25us
V(1)
V(2)
0V
5V
10V
R=10
ECE 202 Page 17 of 19 Copyright © by Hayder Radha
Date/Time run: 11/17/04
Example Fourier Series RL Circuit
Temperature: 27.0
Date: November 17, 2004
Page 1
Time: 00:39:50
(A) FourierSeries (active)
Frequency
0Hz
0.5MHz
1.0MHz
1.5MHz
2.0MHz
2.5MHz
3.0MHz
3.5MHz
4.0MHz
4.5MHz
5.0MHz5.5MHz
V(1)
V(2)
0V
2.0V
4.0V
6.0V
R=10
ECE 202 Page 18 of 19 Copyright © by Hayder Radha
ECE 202 Page 19 of 19 Copyright © by Hayder Radha