POWER SYSTEM ANALYSIS+DESIGN-EBK >I<
6th Edition
ISBN: 9781337259170
Author: Glover
Publisher: INTER CENG
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For the circuit shown, let V₁ = 12 V, Is1 = 2A, Is2 = 4A, R₁ = 2, R2 = 4, and R3 = 6. Determine the current
Io using Mesh method as follows:
1. Choose all meshes that must be included, if any, to construct the supermesh.
11, 13
O 11, 12
O 12, 13, 11
12, 13
O none of the above
2. Consider mesh (loop) iz, write the corresponding expression in terms of mesh currents i₁, 12, 13 as
of the form (R11 · i₁ + R₁2 · 2 + R₁3-13 = V₁), then enter the corresponding values:
R11
R12
R13
Ω
Ω
Ω
V
V₁₂
3. Solve the above equation to determine then lo :
10
=
Ist
A
R₁
ww
ww
R₂
+
V₁
1,
R3
The relative tolerance for this problem is 7%.
ww
IS2
Enter the matrix values (numerical) to solve for mesh-currents i₁, iz and 13, for the circuit shown, using
Mesh method. In the matrix, row 1, row 2, and row 3 correspond to i₁, 12 and 13, current expressions,
respectively. Let Vs=15, R₁ =50, R₂-32, R3-8, R4-17, R5-29, and R=41.
[R11 R12 R13
The matrix values are shown here: R21 R22 R23
= V₂
R31 R32 R33
[V3]
The relative tolerance for this problem is 5%.
R1
Loop i₁
R11
+
Vs
Ω
R12
Ω
R13
Ω
V
V₁=
Loop 12
R21
Ω
R22
Ω
R23
Ω
V
V₂
Loop 13
Ω
R31
R32
Ω
R33
Ω
V3=
V
R2
R4
R3
R5
R6
For circuit shown, use Mesh method to find the voltage Vo as follows. Enter, in the matrix format, as
below, the loop currents, where row 1, and row 2, correspond to i₁, and i2 loop current expressions,
respectively. Let Vs1-5, Vs2-15, R₁=5, R₂=2, and R3=8.
The matrix values are shown here:
[R11 R12 21
R21 R22
Rx - M - M
iz
=
The relative tolerance for this problem is 5%.
Vst
(+-
R1
ww
Loop i₁
R115
G12
V₁ =
Loop 12
R21
R22
V₂=
Ω
C C
Ω
V
Ω
02
C
V
R₂
ww
VS2
+
Ry
ww
+
Vo
Use Cramer's rule (matrix), substitution, or any other method to calculate the voltages:
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- = = For the circuit shown, let V, 15 V, I, 4A, R₁ =5, R₂ 10, R3 10, and R4 5. Determine the output voltage Vo as follows All resistor values are in ohms. 1. Identify the supermesh and write its corresponding Mesh equation. Provide your expression in terms of the shown mesh current i₁, and 12 of the form (R11 · 11+ R12 · 12 = V₁), then enter the corresponding values: R11 Ω R12 V₁= V Ω 2. Use the above equation, and supermesh inner expression to calculate i₂: i₂- Find Vo V₁ = A V R₁ www M R3 ww V R4 V₁ 0 IS R₁ The relative tolerance for this problem is 7 %. 0arrow_forward11.18 In the circuit of Fig. P11.18, what should the value of thecoupling coefficient k be so that Vout/Vin = 0.49?arrow_forward11.26 Determine the complex power supplied by the source inthe circuit of Fig. P11.26.arrow_forward
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