(a) Determine R7h from the perspective of terminals a and c. (b) Determine Rth from the perspective of terminals b and c. (c) Determine Rth from the perspective of terminals d and e.

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(a) Determine RTh from the perspective of terminals a and c.
(b) Determine RTh from the perspective of terminals b and c.
(c) Determine RTh from the perspective of terminals d and e.
(d) Write down the node voltage equations for V1, V2, and V3. You must leave your
answer in a matrix-vector product form, but you do not need to solve it.
(e) After solving the above matrix-vector equation, suppose you found V1
V2 = 3.6V, and V3 = 4.4V. Determine VTh from the perspective of terminals a and b.
6.4V,
Note: If R1, R2 and R3 are the resistors in a wye connection and Ra, R, and Re are
the resistors in a equivalent delta connection (using the naming convention discussed
in class), the formulas for delta to wye conversion are as follows:
R,Re
R.R.
Ra Rt
R1
Ra + R, + Re'
R2
Ra + R, + Re'
R3
Ra + R, + R.
and the formulas for wye to delta conversion are as follows:
R1 R2 + R1R3 + R2R3
R2
Ra
R1 R2 + R1R3 + R2R3
R1 R2 + R1 R3 + R2R3
Re
R1
R3
8 V
+-
2Ω
V2
2Ω
V3
a
V,
d
4 Q
4 2
b
*)6 V
12 V
+
ground
Transcribed Image Text:(a) Determine RTh from the perspective of terminals a and c. (b) Determine RTh from the perspective of terminals b and c. (c) Determine RTh from the perspective of terminals d and e. (d) Write down the node voltage equations for V1, V2, and V3. You must leave your answer in a matrix-vector product form, but you do not need to solve it. (e) After solving the above matrix-vector equation, suppose you found V1 V2 = 3.6V, and V3 = 4.4V. Determine VTh from the perspective of terminals a and b. 6.4V, Note: If R1, R2 and R3 are the resistors in a wye connection and Ra, R, and Re are the resistors in a equivalent delta connection (using the naming convention discussed in class), the formulas for delta to wye conversion are as follows: R,Re R.R. Ra Rt R1 Ra + R, + Re' R2 Ra + R, + Re' R3 Ra + R, + R. and the formulas for wye to delta conversion are as follows: R1 R2 + R1R3 + R2R3 R2 Ra R1 R2 + R1R3 + R2R3 R1 R2 + R1 R3 + R2R3 Re R1 R3 8 V +- 2Ω V2 2Ω V3 a V, d 4 Q 4 2 b *)6 V 12 V + ground
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