Embed Size (px)
Citation preview
Network Analysis XI
T to Ο / Ο to T
Conversion
The two configurations in question
β’ T-network
β’ Ο-network
T to Ο formulas
β’ π π΄ =π 1π 2:π 2π 3:π 3π 1
π 1
β’ π π΅ =π 1π 2:π 2π 3:π 3π 1
π 2
β’ π πΆ =π 1π 2:π 2π 3:π 3π 1
π 3
Conversion 1
β’ Convert the T network shown into an equivalent Ο network.
Formulas for calculations
β’ π π΄ =π 1π 2:π 2π 3:π 3π 1
π 1=
8 9 : 8 5 : 5 9
9=
72:40:45
9=
157
9= 17.444Ξ©
β’ π π΅ =π 1π 2:π 2π 3:π 3π 1
π 2=
8 9 : 8 5 : 5 9
8=
72:40:45
8=
157
8= 19.625Ξ©
β’ π πΆ =π 1π 2:π 2π 3:π 3π 1
π 3=
8 9 : 8 5 : 5 9
5=
72:40:45
5=
157
5= 31.4Ξ©
End result
RA
RC RB
1 3
2 2
Ο to T formulas
β’ π 1 =π π΅π πΆ
π π΄:π π΅:π πΆ
β’ π 2 =π π΄π πΆ
π π΄:π π΅:π πΆ
β’ π 3 =π π΄π π΅
π π΄:π π΅:π πΆ
Conversion 2
β’ Convert the Ο network shown into an equivalent T network.
RA
18Ξ©RC32Ξ©
RB20Ξ©
1 3
2 2
Formulas for calculations
β’ π 1 =π π΅π πΆ
π π΄:π π΅:π πΆ=
20 32
18:20:32=
640
70= 9.143Ξ©
β’ π 2 =π π΄π πΆ
π π΄:π π΅:π πΆ=
18 32
18:20:32=
576
70= 8.229Ξ©
β’ π 3 =π π΄π π΅
π π΄:π π΅:π πΆ=
18 20
18:20:32=
360
70= 5.143Ξ©
End result
R1
R2 R3A B
C
Any questions?
β’ Contact us at:
β 1-800-243-6446
β 1-216-781-9400
β’ Email:
