EE 98: Fundamentals of Electrical Circuits - With Connect Access
6th Edition
ISBN: 9781259981807
Author: Alexander
Publisher: MCG
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Chapter 13.6, Problem 10PP
Refer to Fig. 13.43. If the two-winding transformer is a 60-VA,
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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 13 Solutions
EE 98: Fundamentals of Electrical Circuits - With Connect Access
Ch. 13.2 - Determine the voltage Vo in the circuit of Fig....Ch. 13.2 - Determine the phasor currents I1 and I2 in the...Ch. 13.3 - Prob. 3PPCh. 13.4 - Find the input impedance of the circuit in Fig....Ch. 13.4 - For the linear transformer in Fig. 13.26(a), find...Ch. 13.4 - Solve the problem in Example 13.1 (see Fig. 13.9)...Ch. 13.5 - The primary current to an ideal transformer rated...Ch. 13.5 - In the ideal transformer circuit of Fig. 13.38,...Ch. 13.5 - Find Vo in the circuit of Fig. 13.40. Figure 13.40...Ch. 13.6 - Refer to Fig. 13.43. If the two-winding...
Ch. 13.6 - In the autotransformer circuit of Fig. 13.45, find...Ch. 13.7 - Prob. 12PPCh. 13.8 - Prob. 13PPCh. 13.9 - Refer to Fig. 13.61. Calculate the turns ratio...Ch. 13.9 - Calculate the turns ratio of an ideal transformer...Ch. 13.9 - In Example 13.17, if the eight 100-W bulbs are...Ch. 13 - Refer to the two magnetically coupled coils of...Ch. 13 - Prob. 2RQCh. 13 - Prob. 3RQCh. 13 - Prob. 4RQCh. 13 - The ideal transformer in Fig. 13.70(a) has N2/N1 =...Ch. 13 - Prob. 6RQCh. 13 - A three-winding transformer is connected as...Ch. 13 - Prob. 8RQCh. 13 - Prob. 9RQCh. 13 - Prob. 10RQCh. 13 - For the three coupled coils in Fig. 13.72,...Ch. 13 - Using Fig. 13.73, design a problem to help other...Ch. 13 - Two coils connected in series-aiding fashion have...Ch. 13 - (a) For the coupled coils in Fig. 13.74(a), show...Ch. 13 - Two coils are mutually coupled, with L1 = 50 mH,...Ch. 13 - Given the circuit shown in Fig. 13.75, determine...Ch. 13 - For the circuit in Fig. 13.76, find Vo. Figure...Ch. 13 - Find v(t) for the circuit in Fig. 13.77.Ch. 13 - Prob. 9PCh. 13 - Find vo in the circuit of Fig. 13.79. Figure 13.79...Ch. 13 - Use mesh analysis to find ix in Fig. 13.80, where...Ch. 13 - Determine the equivalent Leq in the circuit of...Ch. 13 - For the circuit in Fig. 13.82, determine the...Ch. 13 - Obtain the Thevenin equivalent circuit for the...Ch. 13 - Find the Norton equivalent for the circuit in Fig....Ch. 13 - Obtain the Norton equivalent at terminals a-b of...Ch. 13 - In the circuit of Fig. 13.86, ZL is a 15-mH...Ch. 13 - Find the Thevenin equivalent to the left of the...Ch. 13 - Determine an equivalent T-section that can be used...Ch. 13 - Determine currents I1, I2, and I3 in the circuit...Ch. 13 - Prob. 21PCh. 13 - Find current Io in the circuit of Fig. 13.91.Ch. 13 - Let is = 5 cos (100t) A. Calculate the voltage...Ch. 13 - In the circuit of Fig. 13.93, (a) find the...Ch. 13 - Prob. 25PCh. 13 - Find Io in the circuit of Fig. 13.95. Switch the...Ch. 13 - Find the average power delivered to the 50-...Ch. 13 - In the circuit of Fig. 13.97, find the value of X...Ch. 13 - Prob. 29PCh. 13 - (a) Find the input impedance of the circuit in...Ch. 13 - Using Fig. 13.100, design a problem to help other...Ch. 13 - Two linear transformers are cascaded as shown in...Ch. 13 - Determine the input impedance of the air-core...Ch. 13 - Using Fig. 13.103, design a problem to help other...Ch. 13 - Find currents I1, I2, and I3 in the circuit of...Ch. 13 - As done in Fig. 13.33, obtain the relationships...Ch. 13 - A 2402,400-V rms step-up ideal transformer...Ch. 13 - Design a problem to help other students better...Ch. 13 - A 1,200240-V rms transformer has impedance on the...Ch. 13 - The primary of an ideal transformer with a turns...Ch. 13 - Given I2 = 2 A, determine the value of Is in Fig....Ch. 13 - For the circuit in Fig. 13.107, determine the...Ch. 13 - Obtain V1 and V2 in the ideal transformer circuit...Ch. 13 - In the ideal transformer circuit of Fig. 13.109,...Ch. 13 - For the circuit in Fig. 13.110, find the value of...Ch. 13 - (a) Find I1 and I2 in the circuit of Fig. 13.111...Ch. 13 - Prob. 47PCh. 13 - Using Fig. 13.113, design a problem to help other...Ch. 13 - Find current ix in the ideal transformer circuit...Ch. 13 - Prob. 50PCh. 13 - Use the concept of reflected impedance to find the...Ch. 13 - For the circuit in Fig. 13.117, determine the...Ch. 13 - Refer to the network in Fig. 13.118. (a) Find n...Ch. 13 - A transformer is used to match an amplifier with...Ch. 13 - For the circuit in Fig. 13.120, calculate the...Ch. 13 - Find the power absorbed by the 100- resistor in...Ch. 13 - For the ideal transformer circuit of Fig. 13.122...Ch. 13 - Determine the average power absorbed by each...Ch. 13 - In the circuit of Fig. 13.124, let vs = 165...Ch. 13 - Refer to the circuit in Fig. 13.125 on the...Ch. 13 - For the circuit in Fig. 13.126, find Il, I2, and...Ch. 13 - For the network in Fig. 13.127, find: (a) the...Ch. 13 - Find the mesh currents in th circuit of Fig....Ch. 13 - For the circuit in Fig. 13.129. find the turns...Ch. 13 - Calculate the average power dissipated by the 20-...Ch. 13 - Design a problem to help other students better...Ch. 13 - An autotransformer with a 40 percent tap is...Ch. 13 - In the ideal autotransformer of Fig. 13.131,...Ch. 13 - In the circuit of Fig. 13.131, N1 = 190 turns and...Ch. 13 - In the ideal transformer circuit shown in Fig....Ch. 13 - When individuals travel, their electrical...Ch. 13 - In order to meet an emergency, three single-phase...Ch. 13 - Figure 13.135 on the next page shows a three-phase...Ch. 13 - Consider the three-phase transformer shown in Fig....Ch. 13 - A balanced three-phase transformer bank with the...Ch. 13 - Using Fig. 13.138, design a problem to help other...Ch. 13 - The three-phase system of a town distributes power...Ch. 13 - Use PSpice or MultiSim to determine the mesh...Ch. 13 - Use PSpice or MultiSim to find I1, I2, and I3 in...Ch. 13 - Prob. 80PCh. 13 - Use PSpice or MultiSim to find I1, I2, and I3 in...Ch. 13 - A stereo amplifier circuit with ail output...Ch. 13 - A transformer having 2,400 turns on the primary...Ch. 13 - A radio receiver has an input resistance of 300 ....Ch. 13 - A step-down power transformer with a turns ratio...Ch. 13 - A 240120-V rms power transformer is rated at 10...Ch. 13 - A 4-kVA, 2,400240-V rms transformer has 250 turns...Ch. 13 - A 25,000240-V rms distribution transformer has a...Ch. 13 - A 4,800-V rms transmission line feeds a...Ch. 13 - A four-winding transformer (Fig. 13.146) is often...Ch. 13 - A 440/110-V ideal transformer can be connected to...Ch. 13 - Ten bulbs in parallel are supplied by a 7,200120-V...
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