Basic Engineering Circuit Analysis
11th Edition
ISBN: 9781118539293
Author: J. David Irwin, R. Mark Nelms
Publisher: WILEY
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Chapter 1, Problem 21P
Calculate the power absorbed by element A in Fig. PI .21.
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In the circuit shown, let Vs-9, R₁-8, R2-2, and R3-4. Use Nodal analysis to determine the current lo. In
particular find:
V2=
10=
A
The relative tolerance for this problem is 5 %.
R₁
V₁
+
ww
R₂
Vs
V₂
21
x
R3
1. Choose all nodes that must be included, if any, to construct the supernode for Nodal analysis.
OV1, V3
OV1, V2
○ V2, V3
OV1, V2, V4
OV1, V2, V3
O V2, V3, V4
2. Write KCL equation (Nodal equation) at super-node. Write your expression in terms of node voltages
V1, V2, V3 and V4 and of the form (G11 V1+G12 V2+G13 V3+G14 V4 = 11), then
enter the corresponding values:
At super-node KCL:
1/Q
G11
1/0
G12
1/Ω
G13
1/Q
G14
A
3. Use the above equation, the circuit and and super-node inner expression to calculate V3 and then lo :
V3=
V
10 =
R3
Vst
+
A
V₁
+
VS2
V₂
V3
w
W
R₁
R₂
R4
ww
R5
V4
V$3
Enter the matrix values (numerical) to solve for voltages at nodes v1, and v2, for the circuit shown, using
Nodal equations. In the matrix, row 1, and row 2, correspond to node v1, and node v2 current
expressions, respectively. Let Is1=14, Is2=7, R₁=5, R₂-8, R3=2, and R4-5.
[G11 G12] [Vi₁
The matrix values are shown here:
=
G21 G22 [V2]
[41]
[12]
{Hint: As discussed in class and to avoid sign errors, assume nodal currents are locally defined at each
node (leaving) and use node labeling as indicated in the circuit. }
The relative tolerance for this problem is 5%.
VI
R2
ww
Isl
12
NODE v1
G11
G12
RI
1/Q
1/0
A
4=
NODE v2
G21-
1/Q
G22
1/0
12
W
A
===
www
R3
R4
www
Use Cramer's rule (matrix), substitution, or any other method to calculate the voltages:
v1 =
V
v2=
V
Is2
Chapter 1 Solutions
Basic Engineering Circuit Analysis
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Ch. 1 - The charge entering the positive terminal of an...Ch. 1 - Prob. 12PCh. 1 - The power absorbed by the BOX in Fig. Pl. 13 is...Ch. 1 - The power absorbed by the BOX in Fig. Pl. 14 is...Ch. 1 - The energy absorbed by the BOX in Fig. P1.15 is...Ch. 1 - The charge that enters the BOX in Fig. P1.16 is...Ch. 1 - The energy absorbed by the BOX in Fig. Pl. 17 is...Ch. 1 - The charge entering the upper terminal of the BOX...Ch. 1 - The energy absorbed by the BOX in Fig. Pl. 19 is...Ch. 1 - Determine the amount of power absorbed or supplied...Ch. 1 - Calculate the power absorbed by element A in Fig....Ch. 1 - Calculate the power supplied by element A in Fig....Ch. 1 - Element A in the diagram in Fig. PI .23 absorbs 30...Ch. 1 - Element B in the diagram in Fig. P1.24 supplies 60...Ch. 1 - Element B in the diagram in Fig. PI .25 supplies...Ch. 1 - Element B in the diagram in Fig. Pl.26 supplies 72...Ch. 1 - (a) In Fig. Pl.27 (a), P1=36W. Is element 2...Ch. 1 - Two elements are connected in series, as shown in...Ch. 1 - Element 2 in Fig. Pl.29 absorbed 32W. Find the...Ch. 1 - Choose Is such that the power absorbed by element...Ch. 1 - Find the power that is absorbed or supplied by the...Ch. 1 - Find the power that is absorbed or supplied by the...Ch. 1 - Compute the power that is absorbed or supplied by...Ch. 1 - Find the power that is absorbed or supplied by...Ch. 1 - Find Ix in the network in Fig. P1.35.Ch. 1 - Prob. 36PCh. 1 - Find the power absorbed or supplied by element 1...Ch. 1 - Find the power absorbed or supplied by element 3...Ch. 1 - Find the power absorbed or supplied by element 1...Ch. 1 - Find Vx in the network in Fig. P1.40 using...Ch. 1 - Find Ix in the circuit in Fig. P1.41 using...Ch. 1 - Is the source Vs in the network in Fig. P1.42...Ch. 1 - Find I0 in the network in Fig. P1.43 using...Ch. 1 - Calculate the power absorbed by each element in...Ch. 1 - Calculate the power absorbed by each element in...Ch. 1 - In the circuit in Fig. P1.46, element 1 absorbs 40...
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- Only expert should attemptarrow_forwardFor the circuit shown below, let l₁ = 9, 1₂ = 14, 13= 12, R₁ = 3, R₂ = 8, and R3 = 5. Use nodal equations to determine V1, V2 and I, as follows: • Consider Node 1, obtain a nodal equation in terms of V₁ and V₂ voltages. Simplify your equation to the format 1V1 + b,V₂ = c, then enter the corresponding values of coefficients b₁ and c₁ 1. b₁ =( C₁ = • Now consider Node 2, obtain a second nodal equation in terms of V₁ and V2 voltages. Simplify your equation to the format -1V₁+b2V2=c2 then enter the corresponding values of coefficients b₂ and c₂ 2. (b₂ = value.) ,၄၇ = - 3. Use (1) and (2) to determine V₂ = 4. Determine V₁ 5. Determine | = i 12 V₁ R1 20 www R2 ww I The relative tolerance for this problem is 5%. R3 This is not a decimal or integer www i3arrow_forwardFor the circuit shown, let V1 = 19 V, Vs2 = 76 V, R₁ = 9, R2 = 9, and R3 = 7. Use Nodal analysis to determine the voltage V2 and the current lo, choose the closet values: V2- 4.788 10 = ○ 2.28 11.978 17.761 35.522 23.957 -9.146 8.32 10.173 A O-7.435 O-5.783 10.531 V sl ་ ་ ་ ན ་་་ ་ ་ ་ ་ ་ ་ ་ ་ +1 ww R₁ R₂ ww R3 Io +1 VS2arrow_forward
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