![Page 1: Network Analysis VII - Electronics for calculations โข๐
= ๐
1๐
2:๐
2๐
3:๐
3๐
1 ๐
1 =8 9:8 5:5 9 9 = 72:40:45 9 =157 9 =17.444ฮฉ โข๐
= ๐
1๐
2:๐
2๐
3:๐
3๐
1](https://reader034.vdocuments.mx/reader034/viewer/2022051320/5ab7e8b17f8b9ad5338c2099/html5/thumbnails/1.jpg)
Network Analysis XI
T to ฯ / ฯ to T
Conversion
![Page 2: Network Analysis VII - Electronics for calculations โข๐
= ๐
1๐
2:๐
2๐
3:๐
3๐
1 ๐
1 =8 9:8 5:5 9 9 = 72:40:45 9 =157 9 =17.444ฮฉ โข๐
= ๐
1๐
2:๐
2๐
3:๐
3๐
1](https://reader034.vdocuments.mx/reader034/viewer/2022051320/5ab7e8b17f8b9ad5338c2099/html5/thumbnails/2.jpg)
The two configurations in question
โข T-network
โข ฯ-network
![Page 3: Network Analysis VII - Electronics for calculations โข๐
= ๐
1๐
2:๐
2๐
3:๐
3๐
1 ๐
1 =8 9:8 5:5 9 9 = 72:40:45 9 =157 9 =17.444ฮฉ โข๐
= ๐
1๐
2:๐
2๐
3:๐
3๐
1](https://reader034.vdocuments.mx/reader034/viewer/2022051320/5ab7e8b17f8b9ad5338c2099/html5/thumbnails/3.jpg)
T to ฯ formulas
โข ๐ ๐ด =๐ 1๐ 2:๐ 2๐ 3:๐ 3๐ 1
๐ 1
โข ๐ ๐ต =๐ 1๐ 2:๐ 2๐ 3:๐ 3๐ 1
๐ 2
โข ๐ ๐ถ =๐ 1๐ 2:๐ 2๐ 3:๐ 3๐ 1
๐ 3
![Page 4: Network Analysis VII - Electronics for calculations โข๐
= ๐
1๐
2:๐
2๐
3:๐
3๐
1 ๐
1 =8 9:8 5:5 9 9 = 72:40:45 9 =157 9 =17.444ฮฉ โข๐
= ๐
1๐
2:๐
2๐
3:๐
3๐
1](https://reader034.vdocuments.mx/reader034/viewer/2022051320/5ab7e8b17f8b9ad5338c2099/html5/thumbnails/4.jpg)
Conversion 1
โข Convert the T network shown into an equivalent ฯ network.
![Page 5: Network Analysis VII - Electronics for calculations โข๐
= ๐
1๐
2:๐
2๐
3:๐
3๐
1 ๐
1 =8 9:8 5:5 9 9 = 72:40:45 9 =157 9 =17.444ฮฉ โข๐
= ๐
1๐
2:๐
2๐
3:๐
3๐
1](https://reader034.vdocuments.mx/reader034/viewer/2022051320/5ab7e8b17f8b9ad5338c2099/html5/thumbnails/5.jpg)
Formulas for calculations
โข ๐ ๐ด =๐ 1๐ 2:๐ 2๐ 3:๐ 3๐ 1
๐ 1=
8 9 : 8 5 : 5 9
9=
72:40:45
9=
157
9= 17.444ฮฉ
โข ๐ ๐ต =๐ 1๐ 2:๐ 2๐ 3:๐ 3๐ 1
๐ 2=
8 9 : 8 5 : 5 9
8=
72:40:45
8=
157
8= 19.625ฮฉ
โข ๐ ๐ถ =๐ 1๐ 2:๐ 2๐ 3:๐ 3๐ 1
๐ 3=
8 9 : 8 5 : 5 9
5=
72:40:45
5=
157
5= 31.4ฮฉ
![Page 6: Network Analysis VII - Electronics for calculations โข๐
= ๐
1๐
2:๐
2๐
3:๐
3๐
1 ๐
1 =8 9:8 5:5 9 9 = 72:40:45 9 =157 9 =17.444ฮฉ โข๐
= ๐
1๐
2:๐
2๐
3:๐
3๐
1](https://reader034.vdocuments.mx/reader034/viewer/2022051320/5ab7e8b17f8b9ad5338c2099/html5/thumbnails/6.jpg)
End result
RA
RC RB
1 3
2 2
![Page 7: Network Analysis VII - Electronics for calculations โข๐
= ๐
1๐
2:๐
2๐
3:๐
3๐
1 ๐
1 =8 9:8 5:5 9 9 = 72:40:45 9 =157 9 =17.444ฮฉ โข๐
= ๐
1๐
2:๐
2๐
3:๐
3๐
1](https://reader034.vdocuments.mx/reader034/viewer/2022051320/5ab7e8b17f8b9ad5338c2099/html5/thumbnails/7.jpg)
ฯ to T formulas
โข ๐ 1 =๐ ๐ต๐ ๐ถ
๐ ๐ด:๐ ๐ต:๐ ๐ถ
โข ๐ 2 =๐ ๐ด๐ ๐ถ
๐ ๐ด:๐ ๐ต:๐ ๐ถ
โข ๐ 3 =๐ ๐ด๐ ๐ต
๐ ๐ด:๐ ๐ต:๐ ๐ถ
![Page 8: Network Analysis VII - Electronics for calculations โข๐
= ๐
1๐
2:๐
2๐
3:๐
3๐
1 ๐
1 =8 9:8 5:5 9 9 = 72:40:45 9 =157 9 =17.444ฮฉ โข๐
= ๐
1๐
2:๐
2๐
3:๐
3๐
1](https://reader034.vdocuments.mx/reader034/viewer/2022051320/5ab7e8b17f8b9ad5338c2099/html5/thumbnails/8.jpg)
Conversion 2
โข Convert the ฯ network shown into an equivalent T network.
RA
18ฮฉRC32ฮฉ
RB20ฮฉ
1 3
2 2
![Page 9: Network Analysis VII - Electronics for calculations โข๐
= ๐
1๐
2:๐
2๐
3:๐
3๐
1 ๐
1 =8 9:8 5:5 9 9 = 72:40:45 9 =157 9 =17.444ฮฉ โข๐
= ๐
1๐
2:๐
2๐
3:๐
3๐
1](https://reader034.vdocuments.mx/reader034/viewer/2022051320/5ab7e8b17f8b9ad5338c2099/html5/thumbnails/9.jpg)
Formulas for calculations
โข ๐ 1 =๐ ๐ต๐ ๐ถ
๐ ๐ด:๐ ๐ต:๐ ๐ถ=
20 32
18:20:32=
640
70= 9.143ฮฉ
โข ๐ 2 =๐ ๐ด๐ ๐ถ
๐ ๐ด:๐ ๐ต:๐ ๐ถ=
18 32
18:20:32=
576
70= 8.229ฮฉ
โข ๐ 3 =๐ ๐ด๐ ๐ต
๐ ๐ด:๐ ๐ต:๐ ๐ถ=
18 20
18:20:32=
360
70= 5.143ฮฉ
![Page 10: Network Analysis VII - Electronics for calculations โข๐
= ๐
1๐
2:๐
2๐
3:๐
3๐
1 ๐
1 =8 9:8 5:5 9 9 = 72:40:45 9 =157 9 =17.444ฮฉ โข๐
= ๐
1๐
2:๐
2๐
3:๐
3๐
1](https://reader034.vdocuments.mx/reader034/viewer/2022051320/5ab7e8b17f8b9ad5338c2099/html5/thumbnails/10.jpg)
End result
R1
R2 R3A B
C
![Page 11: Network Analysis VII - Electronics for calculations โข๐
= ๐
1๐
2:๐
2๐
3:๐
3๐
1 ๐
1 =8 9:8 5:5 9 9 = 72:40:45 9 =157 9 =17.444ฮฉ โข๐
= ๐
1๐
2:๐
2๐
3:๐
3๐
1](https://reader034.vdocuments.mx/reader034/viewer/2022051320/5ab7e8b17f8b9ad5338c2099/html5/thumbnails/11.jpg)
Any questions?
โข Contact us at:
โ 1-800-243-6446
โ 1-216-781-9400
โข Email:
![Page 12: Network Analysis VII - Electronics for calculations โข๐
= ๐
1๐
2:๐
2๐
3:๐
3๐
1 ๐
1 =8 9:8 5:5 9 9 = 72:40:45 9 =157 9 =17.444ฮฉ โข๐
= ๐
1๐
2:๐
2๐
3:๐
3๐
1](https://reader034.vdocuments.mx/reader034/viewer/2022051320/5ab7e8b17f8b9ad5338c2099/html5/thumbnails/12.jpg)