No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in...

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Transcript of No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in...

Page 1: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100
Page 2: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100
Page 3: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100
Page 4: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100

Cvq

dt

dvCi

0

0

t

t

q t i t dt q t

0

0

1tvdtti

Ctv

t

t

d

i t q tdt

Page 5: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100
Page 6: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100
Page 7: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100
Page 8: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100
Page 9: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100
Page 10: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100
Page 11: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100
Page 12: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100
Page 13: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100

Capacitance of the Parallel-

Plate Capacitor

WLAd

AεC

mF 1085.8 12

0

ε

0 r

Page 14: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100
Page 15: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100

Electrolytic Capacitors

• High capacitance value

• Only one polarity of voltage should be applied to electrolytic

capacitors

Page 16: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100

Parasitic Effects

Page 17: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100

Consider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged

to a voltage of v1 = 100 V and the other capacitor has no charge (i.e., v2 = 0). At t = 0,

the switch closes. Compute the total energy stored by both capacitors before and after

the switch closes.

Page 18: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100
Page 19: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100
Page 20: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100
Page 21: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100

INDUCTANCE

dt

diLtv 0

0

1tidttv

Lti

t

t

2

00

1

2

t

tw t p t dt Li t w t

p t v t i t

Page 22: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100
Page 23: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100
Page 24: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100
Page 25: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100
Page 26: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100
Page 27: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100
Page 28: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100
Page 29: No Slide Titlewebpages.iust.ac.ir/nayyeri/Courses/BEE/Lecture_5.pdfConsider the situation shown in Figure 3.14. Prior to t = 0, the capacitorC1 is charged to a voltage of v1 = 100

Linear Variable Differential Transformer