Network Analysis VII - Electronics for calculations •𝑅 = 𝑅1𝑅2:𝑅2𝑅3:𝑅3𝑅1 𝑅1...

download Network Analysis VII - Electronics for calculations •𝑅 = 𝑅1𝑅2:𝑅2𝑅3:𝑅3𝑅1 𝑅1 =8 9:8 5:5 9 9 = 72:40:45 9 =157 9 =17.444Ω •𝑅 = 𝑅1𝑅2:𝑅2𝑅3:𝑅3𝑅1

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Transcript of Network Analysis VII - Electronics for calculations •𝑅 = 𝑅1𝑅2:𝑅2𝑅3:𝑅3𝑅1 𝑅1...

  • Network Analysis XI

    T to / to T

    Conversion

  • The two configurations in question

    T-network

    -network

  • T to formulas

    =12:23:31

    1

    =12:23:31

    2

    =12:23:31

    3

  • Conversion 1

    Convert the T network shown into an equivalent network.

  • Formulas for calculations

    =12:23:31

    1=

    8 9 : 8 5 : 5 9

    9=

    72:40:45

    9=

    157

    9= 17.444

    =12:23:31

    2=

    8 9 : 8 5 : 5 9

    8=

    72:40:45

    8=

    157

    8= 19.625

    =12:23:31

    3=

    8 9 : 8 5 : 5 9

    5=

    72:40:45

    5=

    157

    5= 31.4

  • End result

    RA

    RC RB

    1 3

    2 2

  • to T formulas

    1 =

    ::

    2 =

    ::

    3 =

    ::

  • Conversion 2

    Convert the network shown into an equivalent T network.

    RA

    18RC32

    RB20

    1 3

    2 2

  • Formulas for calculations

    1 =

    ::=

    20 32

    18:20:32=

    640

    70= 9.143

    2 =

    ::=

    18 32

    18:20:32=

    576

    70= 8.229

    3 =

    ::=

    18 20

    18:20:32=

    360

    70= 5.143

  • End result

    R1

    R2 R3A B

    C

  • Any questions?

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