Laboratory Manual for Introductory Circuit Analysis
13th Edition
ISBN: 9780133923780
Author: Robert L. Boylestad, Gabriel Kousourou
Publisher: PEARSON
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Textbook Question
Chapter 19, Problem 50P
Find the load impedance ZL for the network of Fig. 19.135 for maximum power to the load, and find the maximum power to the load.
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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
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Isl
12
NODE v1
G11
G12
RI
1/Q
1/0
A
4=
NODE v2
G21-
1/Q
G22
1/0
12
W
A
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R3
R4
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Use Cramer's rule (matrix), substitution, or any other method to calculate the voltages:
v1 =
V
v2=
V
Is2
Only expert should attempt
For 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
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R2
ww
I
The relative tolerance for this problem is 5%.
R3
This is not a decimal or integer
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Chapter 19 Solutions
Laboratory Manual for Introductory Circuit Analysis
Ch. 19 - Using supeerposition, determine the current...Ch. 19 - Using superposition, determine the current through...Ch. 19 - Using superposition, determine the current IL for...Ch. 19 - Using superposition, determine the voltage across...Ch. 19 - Using superposition, determine the current through...Ch. 19 - Using superposition, find the sinusoidal...Ch. 19 - Using superposition, find the sinusoidal...Ch. 19 - Using superspostion, find the current I for the...Ch. 19 - Using superposition, determine the current IL...Ch. 19 - Using superposition, for the network of Fig....
Ch. 19 - Using superposition, determine the current IL for...Ch. 19 - Determine VL for the network of Fig. 19.116...Ch. 19 - Calculate the current I for the network of Fig....Ch. 19 - Find the voltage Vs for the network in Fig....Ch. 19 - Find the ThĂ©venin equivalent circuit for the...Ch. 19 - Find the Thevenin equivalent circuit for the...Ch. 19 - Find the Thevenin equivalent circuit for the...Ch. 19 - Find the Thevenin equivalent circuit for the...Ch. 19 - Find the Thevenin equivalent circuit for the...Ch. 19 - Find the Thevenin equivalent circuit for the...Ch. 19 - Find the ThĂªvenin equivalent circuit for the...Ch. 19 - Find the ThĂªvenin equivalent circuit for the...Ch. 19 - a. Find the ThĂ©venin equivalent circuit for the...Ch. 19 - a. Find the ThĂ©venin equivalent circuit for the...Ch. 19 - a. Find the ThĂ©venin equivalent circuit of the...Ch. 19 - Determine the ThĂ©venin equivalent circuit for the...Ch. 19 - Determine the ThĂ©venin equivalent circuit for the...Ch. 19 - Prob. 28PCh. 19 - Prob. 29PCh. 19 - Find the ThĂ©venin equivalent circuit for the...Ch. 19 - Determine the ThĂ©venin equivalent circuit for the...Ch. 19 - Prob. 32PCh. 19 - Find the ThĂ©venin equivalent circuit for the...Ch. 19 - Find the Norton equivalent circuit for the network...Ch. 19 - Find the Norton equivalent circuit for the network...Ch. 19 - Find the Norton equivalent circuit for the network...Ch. 19 - Find the Norton equivalent circuit for the portion...Ch. 19 - Find the Norton equivalent circuit for the portion...Ch. 19 - a. Find the Norton equivalent circuit for the...Ch. 19 - a. Find the Norton equivalent circuit for the...Ch. 19 - a. Find the Norton equivalent circuit for the...Ch. 19 - Determine the Norton equivalent circuit for the...Ch. 19 - Determine the Norton equivalent circuit for the...Ch. 19 - Find the Norton equivalent circuit for the network...Ch. 19 - Find the Norton equivalent circuit for the network...Ch. 19 - Prob. 46PCh. 19 - Prob. 47PCh. 19 - Find the load impedance ZL for the network of Fig....Ch. 19 - Find the load impedance ZL for the network of Fig....Ch. 19 - Find the load impedance ZL for the network of Fig....Ch. 19 - Find the load impedance ZL for the network of Fig....Ch. 19 - Prob. 52PCh. 19 - a. Determine the load impedance to replace the...Ch. 19 - a. Determine the load impedance to replace the...Ch. 19 - a. Determine the load impedance to replace the...Ch. 19 - Prob. 56PCh. 19 - a. For the network in Fig. 19.139, determine the...Ch. 19 - For the network in Fig. 19.140, determine two...Ch. 19 - Prob. 59PCh. 19 - Using Millmans theorem, determine the current...Ch. 19 - Prob. 61PCh. 19 - Determine the current IL for the network in Fig....Ch. 19 - Using schematics, determine V2 for the network in...Ch. 19 - Prob. 64PCh. 19 - Using schematics, plot the power to the R-C load...
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- For 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_forwardNO AI PLEASEarrow_forwardNO AI PLEASEarrow_forward
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- B) A 60-Hz generator is supply ing 60% of P max to an infinite bus through a reactive network. A fault occurs which increases the reactance of the network between the generator internal voltage and the infinite bus by 400%. When the fault is cleared, the maximum power that can be delivered is 80% of the original maximum value. Determine the critical clearing angle for the condition described.arrow_forwardQ3) A: A generator operating at 50 Hz delivers 1 pu power to an infinite bus through a transmission circuit in which resistance is ignored. A fault takes place reducing the maximum powe transferable to 0.5 pu whereas before the fault, this power was 2.0 pu and after the clearance of the fault, it is 1.5 pu. By the use of equal area criterion, determine the critical clearing angle.arrow_forward4. For the periodic signal shown in Fig. 4; a) Find the exponential Fourier Series for y(t). b) Use Parseval's Theorem to compute the total power contained in the 4th harmonic and all higher harmonics. 2+ y(t) + -2л -л 0 2л Зл 4л Fig. 4arrow_forward
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